| Issue Date | Title | Author(s) | Source | WOS | Fulltext/Archive link |

1 | 2024/9/23 | A space-time generalized finite difference scheme for long wave propagation based on high-order Korteweg-de Vries type equations | *Zhang, Fan; Li, Po-Wei; Gu, Yan; Fan, Chia-Ming * | *MATHEMATICS AND COMPUTERS IN SIMULATION* | | |

2 | 2024/5/1 | An efficient localized Trefftz method for the simulation of two-dimensional sloshing behaviors | *Lin, Xiran; Xu, Liangbin; Liu, Yan-Cheng; Fan, C. M. * | *OCEAN ENGINEERING* | | |

3 | 2024/3/14 | A stable numerical framework for long-time dynamic crack analysis | *Qu, Wenzhen; Gu, Yan; Fan, Chia -Ming * | *INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES* | | |

4 | 2024/3/1 | An Improved One-Line Evolution Formulation for the Dynamic Shoreline Planforms of Embayed Beaches | *Tao, Hung-Cheng; Hsu, Tai-Wen ; Fan, Chia-Ming * | *WATER* | | |

5 | 2024/10/1 | Identifying the Layout of Retrofitted Rainwater Harvesting Systems with Passive Release for the Dual Purposes of Water Supply and Stormwater Management in Northern Taiwan | *Tsai, Hsin-Yuan; Fan, Chia-Ming ; Liaw, Chao-Hsien * | *WATER* | | |

6 | 2023 | Meshless generalized finite difference method with a domain-decomposition method for solving Helmholtz equation and its application to caisson resonance problems | *Huang, Ji; Lyu, Hong-Guan; Chen, Jiahn-Horng ; Fan, Chia-Ming * | *OCEAN ENGINEERING* | 0 | |

7 | 2022 | A novel spatial-temporal radial Trefftz collocation method for the backward heat conduction analysis with time-dependent source term | *Li, Mingjuan; Fu, Zhuojia; Xu, Wenzhi; Fan, Chia -Ming * | *INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER* | | |

8 | 2022 | Developments of Dynamic Shoreline Planform of Crenulate-Shaped Bay by a Novel Evolution Formulation | *Tao, Hung-Cheng; Hsu, Tai-Wen ; Fan, Chia-Ming * | *WATER* | 1 | |

9 | 2022 | The localized method of fundamental solutions for 2D and 3D inhomogeneous problems | *Zhang, Junli; Yang, Chenchen; Zheng, Hui; Fan, Chia-Ming ; Fu, Ming-Fu* | *MATHEMATICS AND COMPUTERS IN SIMULATION* | 0 | |

10 | 2022 | A space-time generalized finite difference method for solving unsteady double-diffusive natural convection in fluid-saturated porous media | *Li, Po-Wei; Grabski, Jakub Krzysztof; Fan, Chia-Ming ; Wang, Fajie* | *ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS* | 6 | |

11 | 2022 | Numerical analysis of two spheres falling side by side | *Chiu, Chia-Lin; Fan, Chia-Ming ; Chu, Chia-Ren* | *PHYSICS OF FLUIDS* | 1 | |

12 | 2022 | The localized method of fundamental solutions for 2D and 3D second-order nonlinear boundary value problems | *Zhao, Shengdong; Gu, Yan; Fan, Chia-Ming ; Wang, Xiao* | *ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS* | 1 | |

13 | 2022 | Localized Method of Fundamental Solutions for Two-Dimensional Inhomogeneous Inverse Cauchy Problems | *Zhang, Junli; Zheng, Hui; Fan, Chia-Ming ; Fu, Ming-Fu* | *MATHEMATICS* | 0 | |

14 | 2022 | Meshless Generalized Finite Difference Method for the Propagation of Nonlinear Water Waves under Complex Wave Conditions | *Huang, Ji; Fan, Chia-Ming ; Chen, Jiahn-Horng ; Yan, Jin* | *MATHEMATICS* | 2 | |

15 | 2022 | Numerical Simulation of the Time-Dependent Mild-Slope Equation by the Generalized Finite Difference Method (vol 178, pg 4401, 2021) | *Zhang, Ting; Lin, Zhen-Huan; Lin, Chuan; Liang, Lin; Fan, Chia-Ming * | *PURE AND APPLIED GEOPHYSICS* | 0 | |

16 | 2021 | Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory | *Gu, Yan; Fan, Chia-Ming ; Fu, Zhuojia* | *ADVANCES IN APPLIED MATHEMATICS AND MECHANICS* | 38 | |

17 | 2021 | Numerical Simulation of the Time-Dependent Mild-Slope Equation by the Generalized Finite Difference Method | *Zhang, Ting; Lin, Zhen-Huan; Lin, Chuan; Liang, Lin; Fan, Chia-Ming * | *PURE APPL GEOPHYS* | 19 | |

18 | 2021 | Analysis of in-plane crack problems using the localized method of fundamental solutions | *Gu, Yan; Golub, Mikhail, V; Fan, Chia-Ming * | *ENGINEERING FRACTURE MECHANICS* | 13 | |

19 | 2021 | A novel space-time generalized FDM for dynamic coupled thermoelasticity problems in heterogeneous plates | *Lei, Jun; Wei, Xun; Wang, Qin; Gu, Yan; Fan, Chia-Ming * | *ARCHIVE OF APPLIED MECHANICS* | 4 | |

20 | 2021 | Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains | *Wang, Fajie; Chen, Zengtao; Li, Po-Wei; Fan, Chia-Ming * | *ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS* | 13 | |

21 | 2021 | A generalized finite difference method for solving elasticity interface problems | *Xing, Yanan; Song, Lina; Fan, Chia-Ming * | *ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS* | 3 | |

22 | 2021 | Fracture mechanics analysis of bimaterial interface cracks using the generalized finite difference method | *Jiang, Songwei; Gu, Yan; Fan, Chia-Ming ; Qu, Wenzhen* | *THEORETICAL AND APPLIED FRACTURE MECHANICS* | 18 | |

23 | 2021 | Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains | *Wang, Fajie; Zhao, Qinghai; Chen, Zengtao; Fan, Chia-Ming * | *APPLIED MATHEMATICS AND COMPUTATION* | 29 | |

24 | 2021 | Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method | *Liu, Yan-Cheng; Fan, Chia-Ming ; Yeih, Weichung ; Ku, Cheng-Yu ; Chu, Chiung-Lin* | *COMPUTERS & MATHEMATICS WITH APPLICATIONS* | 16 | |

25 | 2021 | Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems | *Liu, Q. G.; Fan, C. M. ; Sarler, B.* | *ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS* | 8 | |

26 | 2021 | Estimation of Tumor Characteristics in a Skin Tissue by a Meshless Collocation Solver | *Fu, Zhuo-Jia; Chu, Wen-Hui; Yang, Min; Li, Po-Wei; Fan, Chia-Ming * | *INT J COMP METH-SING* | 2 | |

27 | 2021 | Improvement of generalized finite difference method for stochastic subsurface flow modeling | *Chen, Shang-Ying; Hsu, Kuo-Chin; Fan, Chia-Ming * | *JOURNAL OF COMPUTATIONAL PHYSICS* | 8 | |

28 | 2021 | Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations | *Liu, Shuainan; Li, Po-Wei; Fan, Chia-Ming ; Gu, Yan* | *ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS* | 15 | |

29 | 2021 | Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries | *Yue, Xingxing; Wang, Fajie; Li, Po-Wei; Fan, Chia-Ming * | *COMPUTERS & MATHEMATICS WITH APPLICATIONS* | 14 | |

30 | 2020 | On the propagation of nonlinear water waves in a three-dimensional numerical wave flume using the generalized finite difference method | *Ji Huang; Chi-Nan Chu; Chia-Ming Fan ; Jiahn-Horng Chen ; Hongguan Lyu * | *Engineering Analysis with Boundary Elements* | 7 | |

31 | 2020 | A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystals | *Zhuo-Jia Fu; Ai-Lun Li; Chuanzeng Zhang; Chia-Ming Fan ; Xiao-Ying Zhuang* | *Engineering Analysis with Boundary Elements* | 11 | |

32 | 2020 | Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method | *Qinghai Zhao; Chia-Ming Fan ; Fajie Wang; Wenzhen Qu* | *Engineering Analysis with Boundary Elements* | 14 | |

33 | 2020 | A novel space-time generalized FDM for transient heat conduction problems | *Jun Lei; Qin Wang; Xia Liu; Yan Gu; Chia-Ming Fan * | *Engineering Analysis with Boundary Elements* | 13 | |

34 | 2020 | Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition | *Lina Song; Po-Wei Li; Yan Gu; Chia-Ming Fan * | *Computers & Mathematics with Applications* | 24 | |

35 | 2020 | A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems | *Fajie Wang; Chia-Ming Fan ; Chuanzeng Zhang; Ji Lin* | *Advances in Applied Mathematics and Mechanics* | 54 | |

36 | 2020 | Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions | *Wenzhen Qu; Chia-Ming Fan ; Xiaolin Li* | *Computers & Mathematics with Applications* | 52 | |

37 | 2020 | Wave-Structure Interaction for a Stationary Surface-Piercing Body Based on a Novel Meshless Scheme with the Generalized Finite Difference Method | *Ji Huang; Hongguan Lyu; Chia-Ming Fan ; Jiahn-Hong Chen; Chi-Nan Chu; Jiayang Gu* | *Mathematics* | 3 | |

38 | 2020 | Generalized finite difference method for three-dimensional eigenproblems of Helmholtz equation | *Zhang, Juan; Shuy, Rong-Juin; Chu, Chiung-Lin; Fan, Chia-Ming * | *MATHEMATICS AND COMPUTERS IN SIMULATION* | 0 | |

39 | 2020 | A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials | *Wen Hu; Yan Gu; Chia-Ming Fan * | *Engineering Analysis with Boundary Elements* | 11 | |

40 | 2020 | Solving Boussinesq equations with a meshless finite difference method | *Ting Zhang; Zhen-Huan Lin; Guan-Yi Huang; Chia-Ming Fan ; Po-Wei Li* | *Ocean Engineering* | 14 | |

41 | 2020 | Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations | *Fajie Wang; Chia-Ming Fan ; Qingsong Hua; Yan Gu* | *Applied Mathematics and Computation* | 66 | |

42 | 2019 | Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code | *Yan Gu; Chia-Ming Fan ; Wenzhen Qu; Fajie Wang; Chuanzeng Zhang* | *Computational Mechanics* | 28 | |

43 | 2019 | Analysis of three-dimensional heat conduction in functionally graded materials by using a hybrid numerical method | *Wenzhen Qu; Chia-Ming Fan ; Yaoming Zhang* | *International Journal of Heat and Mass Transfer* | 22 | |

44 | 2019 | Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions | *Wenzhen Qu; Chia-Ming Fan ; Yan Gu; Fajie Wang* | *Applied Mathematical Modelling* | 32 | |

45 | 2019 | A Spacetime Meshless Method for Modeling Subsurface Flow with a Transient Moving Boundary | *Cheng-Yu Ku ; Chih-Yu Liu; Jing-En Xiao ; Wei-Chung Yeih ; Chia-Ming Fan * | *Water* | 4 | |

46 | 2019 | Localized method of fundamental solutions for interior Helmholtz problems with high wave number | *Qu Wenzhen; Chia-Ming Fan ; Gu Yan* | *Engineering Analysis with Boundary Elements* | 12 | |

47 | 2019 | The method of two-point angular basis function for solving Laplace equation | *Chung-Lun Kuo ; Wei-Chung Yeih ; Cheng-Yu Ku ; Chia-Ming Fan * | *Engineering Analysis with Boundary Elements* | 3 | |

48 | 2019 | Localized method of fundamental solutions for large-scale modelling of three-dimensional anisotropic heat conduction problems - Theory and MATLAB code | *Yan Gu; Chia-Ming Fan ; WenZhen Qu; Fajie Wang* | *Computers & Structures* | 8 | |

49 | 2019 | A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations | *Bai Zi-Qiang; Gu Yan; Fan Chia-Ming * | *Engineering Analysis with Boundary Elements* | 15 | |

50 | 2019 | Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems | *Yan Gu; Chia-Ming Fan ; Rui-Ping Xu* | *Applied Mathematics Letters* | 76 | |

51 | 2019 | The MAPS based on trigonometric basis functions for solving elliptic partial differential equations with variable coefficients and Cauchy-Navier equations | *Dan Wang; C.S. Chen; C.M. Fan ; Ming Li* | *Mathematics and Computers in Simulation* | 6 | |

52 | 2019 | Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equations | *C.M. Fan ; Y.K. Huang; C.S. Chen; S.R. Kuo * | *Engineering Analysis with Boundary Elements* | 61 | |

53 | 2019 | A novel space-time meshless method for solving the backward heat conduction problem | *Cheng-Yu Ku ; Chih-Yu Liu; Wei-Chung Yeih ; Chein-Shan Liu ; Chia-Ming Fan * | *International Journal of Heat and Mass Transfer* | 18 | |

54 | 2019 | Numerical solutions of waves-current interactions by generalized finite difference method | *Chia-Ming Fan ; Chu Chi-Nan; Božidar Šarler; Li Tsung-Han* | *Engineering Analysis with Boundary Elements* | 7 | |

55 | 2019 | On modeling subsurface flow using a novel hybrid Trefftz-MFS method | *Cheng-Yu Ku ; Jing-En Xiao; Chih-Yu Liu ; Chia-Ming Fan * | *Engineering Analysis with Boundary Elements* | 3 | |

56 | 2019 | The generalized finite difference method for in-plane crack problems | *Lei Jun; Xu Yanjie; Gu Yan; Chia-Ming Fan * | *Engineering Analysis with Boundary Elements* | 24 | |

57 | 2019 | A combined scheme of generalized finite difference method and Krylov deferred correction technique for highly accurate solution of transient heat conduction problems | *Wenzhen Qu; Yan Gu; Yaoming Zhang; Chia-Ming Fan ; Chuanzeng Zhang* | *International Journal for Numerical Methods in Engineering* | 21 | |

58 | 2018 | New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations | *Zhaolu Tian; C.M. Fan ; Youjun Deng; P.H. Wen* | *Journal of the Franklin Institute-Engineering and Applied Mathematics* | 6 | |

59 | 2018 | Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media | *Li Po-Wei; Wen Chen; Fu Zhuo-Jia; Chia-Ming Fan * | *Engineering Analysis with Boundary Elements* | 12 | |

60 | 2018 | Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials | *Wang, Y. Y.; Gu, Y.; Chia-Ming Fan ; Chen, W.; Zhang, C. Z.* | *Engineering Analysis with Boundary Elements* | 2 | |

61 | 2018 | The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation | *Yan Gu; Jun Lei; Chia-Ming Fan ; Xiao-Qiao He* | *Engineering Analysis with Boundary Elements* | 28 | |

62 | 2018 | The method of particular solutions using trigonometric basis functions | *Zhaolu Tian; Xinxiang Li; C.M. Fan ; C.S. Chen* | *Journal of Computational and Applied Mathematics* | 9 | |

63 | 2018 | The method of fundamental solutions for solving non-linear Berger equation of thin elastic plate | *Bin Lei; C.M. Fan ; Ming Li* | *Engineering Analysis with Boundary Elements* | 4 | |

64 | 2018 | Numerical solutions of mild slope equation by generalized finite difference method | *Zhang Ting; Huang Ying-Jie; Chyuan-Liang Lin; Chia-Ming Fan ; Li Po-Wei* | *Engineering Analysis with Boundary Elements* | 13 | |

65 | 2017 | 以廣義有限差分法求解波流耦合問題 | *范佳銘 ; 朱起南; 李柏緯; 李宗翰* | | | |

66 | 2017 | Generalized finite difference method for solving inverse Cauchy problem in linear elasticity | *Po-Wei Li; Yan Gu; Chia-Ming Fan * | | | |

67 | 2017 | On solving free surface problems in layered soil using the method of fundamental solutions | *Jing-En Xiao; Cheng-Yu Ku ; Chih-Yu Liu; Chia-Ming Fan ; Wei-Chung Yeih * | *Engineering Analysis with Boundary Elements* | 16 | |

68 | 2017 | Bragg reflection in a two-dimensional numerical wave flume by the generalized finite difference method | *Chia-Ming Fan ; Chi-Nan Chu; Tsung-Han Li* | | | |

69 | 2017 | Generalized finite difference method for two-dimensional shallow water equations | *Po-Wei Li; Chia-Ming Fan * | *Engineering Analysis with Boundary Elements* | 72 | |

70 | 2017 | Solving Inverse Laplace Equation with Singularity by Weighted Reproducing Kernel Collocation Method | *Judy P. Yang; Pai-Chen Guan ; Chia-Ming Fan * | *International Journal of Applied Mechanics* | 14 | |

71 | 2017 | A localized scheme for the method of fundamental solutions for two-dimensional boundary value problems | *Chia-Ming Fan ; Yu-Kai Huang* | | | |

72 | 2017 | The generalized finite difference method for two-dimensional shallow water equations | *Po-Wei Li; Chia-Ming Fan * | | | |

73 | 2017 | Numerical Modeling for Periodic Oscillation of Free Overfall in a Vertical Drop Pool | *Chia-Lin Chiu; Chia-Ming Fan ; Shun-Chung Tsung* | *Journal of Hydraulic Engineering* | 9 | |

74 | 2016 | Application of generalized finite difference method to propagation of nonlinear water waves in numerical wave flume | *Ting Zhang; Yu-Fei Ren; Zhi-Qiang Yang; Chia-Ming Fan ; Po-Wei Li* | *Ocean Engineering* | 24 | |

75 | 2016 | Weighted Reproducing Kernel Collocation Method and Error Analysis for Inverse Cauchy Problems | *Judy P. Yang; Pai-Chen Guan ; Chia-Ming Fan * | *International Journal of Applied Mechanics* | 20 | |

76 | 2016 | Simulation of two-dimensional sloshing phenomenon by generalized finite difference method | *Ting Zhang; Yu-Fei Ren; Chia-Ming Fan ; Po-Wei Li* | *Engineering Analysis with Boundary Elements* | 29 | |

77 | 2015 | Boundary Knot method for numerical solutions of inverse problems governed by Laplace equation and biharmonic equation | *Yin-Chi Lan; Chia-Ming Fan ; Yu-Kai Huang; Po-Wei Li* | | | |

78 | 2015 | Generalized finite difference method for transient heat conduction problems in functionally graded materials | *Tsai-Jung Kuo; Chia-Ming Fan ; Chien-Chung Chang; Po-Wei Li* | | | |

79 | 2015 | Singular boundary method for two-dimensional numerical wave flume | *Chia-Ming Fan ; Li-Jen Chang; Chieh-Lin Chen; Po-Wei Li; Yu-Kai Huang* | | | |

80 | 2015 | The generalized finite difference method for two-dimensional shallow water equations | *Po-Wei Li; Chia-Ming Fan * | | | |

81 | 2015 | Numerical solutions of transient groundwater flow in heterogeneous soil formations using the method of fundamental solutions | *Cheng-Yu Ku ; Jing-En Xiao; Chia-Ming Fan ; Chih-Yu Liu; Wei-Chung Yeih * | | | |

82 | 2015 | Numerical investigations of error in generalized finite difference method for second-order partial differential equations | *Chia-Ming Fan ; Yu-Kai Huang; Pai-Chen Guan ; Po-Wei Li* | | | |

83 | 2015 | Generalized finite difference method for two-dimensional transient free-surface flows | *Po-Wei Li; Chia-Ming Fan * | | | |

84 | 2015 | Numerical solutions of Signorini problems by singular boundary method | *Yu-Kai Huang; Chia-Ming Fan * | | | |

85 | 2015 | Determining temperature distribution and heat source for materials with nonlinear heat conduction coefficients using Cauchy data | *Wei-Chung Yeih ; I-Yao Chan; Cheng-Yu Ku ; Chia-Ming Fan ; Jiang-Jhy Chang * | | | |

86 | 2015 | A characteristic-based meshless model for numerical solutions of shallow water equations | *Po-Wei Li; Chia-Ming Fan * | | | |

87 | 2015 | Generalized finite difference method for solving inverse Cauchy problems | *Chia-Ming Fan ; Tsung-Han Li; Chien-Chung Chang; Po-Wei Li; Yu-Kai Huang* | | | |

88 | 2015 | A nonsingular boundary collocation method for the inverse problems in elasticity | *Ying-Te Lee ; Chia-Ming Fan ; Shyh-Rong Kuo * | | | |

89 | 2015 | NUMERICAL SOLUTIONS OF DIRECT AND INVERSE STOKES PROBLEMS BY THE METHOD OF FUNDAMENTAL SOLUTIONS AND THE LAPLACIAN DECOMPOSITION | *Chia-Ming Fan ; Po-Wei Li* | *Numerical Heat Transfer Part B-Fundamentals* | 10 | |

90 | 2015 | Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutions | *Chia-Ming Fan ; Chi-Hung Yang; Wei-Shiang Lai* | *Engineering Analysis with Boundary Elements* | 12 | |

91 | 2015 | Generalized finite difference method for solving two-dimensional inverse Cauchy problems | *Chia-Ming Fan ; Po-Wei Li; Wei-Chung Yeih * | *Inverse Problems in Science and Engineering* | 52 | |

92 | 2015 | Numerical solutions of sloshing phenomenon by singular boundary method | *Chia-Ming Fan ; Chieh-Lin Chen; Po-Wei Li; Yu-Kai Huang* | | | |

93 | 2015 | 以廣義有限差分法模擬限制與非限制含水層之地下水流動問題 | *李宗翰; 范佳銘 * | | | |

94 | 2015 | Generalized finite difference method for non-linear free-surface problems of liquid sloshing | *張挺; 任聿飛; 楊志強; 范佳銘 * | *四川大学学报(工程科学版)* | | |

95 | 2015 | SOLVING THE INVERSE CAUCHY PROBLEM OF THE LAPLACE EQUATION USING THE METHOD OF FUNDAMENTAL SOLUTIONS AND THE EXPONENTIALLY CONVERGENT SCALAR HOMOTOPY ALGORITHM (ECSHA) | *Wei-Chung Yeih ; I-Yao Chan; Cheng-Yu Ku ; Chia-Ming Fan * | *Journal of Marine Science and Technology-Taiwan* | 7 | |

96 | 2015 | Numerical Solutions of Two-dimensional Stokes Flows by the Boundary Knot Method | *Fan, CM ; Huang, YK; Li, PW; Lee, YT * | *Cmes-Computer Modeling in Engineering & Sciences* | | |

97 | 2015 | Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method | *Cheng-Yu Ku ; Chung Lun Kuo ; Chia-Ming Fan ; Chein-Shan Liu ; Pai-Chen Guan * | *Engineering Analysis with Boundary Elements* | 26 | |

98 | 2014 | Meshless method for solving inverse problems governed by fourth-order partial differential equations | *W.S. Lai; C.M. Fan ; M,H, Gu* | | | |

99 | 2014 | The boundary knot method for two-dimensional Stokes flows | *Y.K. Huang; C.M. Fan ; P.W. Li; Y.T. Lee* | | | |

100 | 2014 | Numerical solutions of three-dimensional inverse Cauchy problems by using generalized finite difference method | *C.C. Chang; C.M. Fan ; P.W. Li* | | | |

101 | 2014 | Generalized finite difference method for solving double-diffusive natural convection in fluid-saturated porous media | *P.W. Li; C.M. Fan * | | | |

102 | 2014 | Application of generalized finite difference method to groundwater flow in confined aquifer | *T.H. Li; P.W. Li; C.M. Fan * | | | |

103 | 2014 | Boundary knot method for boundary value problem in elasticity | *Y.T. Lee; C.M. Fan ; Y.K. Huang* | | | |

104 | 2014 | Generalized Finite Difference Method for Numerical Solutions of Density-driven Groundwater Flows | *Li, PW; Fan, CM ; Chen, CY; Ku, CY * | *Cmes-Computer Modeling in Engineering & Sciences* | | |

105 | 2014 | Solving inverse Stokes problems by modified collocation Trefftz method | *Chia-Ming Fan ; Hong-Huei Li; Chuan-Yen Hsu; Chun-Hung Lin* | *Journal of Computational and Applied Mathematics* | 7 | |

106 | 2014 | Generalized finite difference method for numerical solutions of density-driven groundwater flow | *P.W. Li; C.M. Fan ; C.Y. Chen; C.Y. Ku* | | | |

107 | 2014 | Numerical solutions of two-dimensional Stokes flow by the boundary knot method | *C.M. Fan ; Y.K. Huang; P.W. Li; Y.T. Lee* | | | |

108 | 2014 | A Double Iteration Process for Solving the Nonlinear Algebraic Equations, Especially for Ill-posed Nonlinear Algebraic Equations | *Wei-Chung Yeih ; I-Yao Chan; Cheng-Yu Ku ; Chia-Ming Fan ; Pai-Chen Guan * | *Cmes-Computer Modeling in Engineering & Sciences* | | |

109 | 2014 | Solving the Cauchy Problem of the Nonlinear Steady-state Heat Equation Using Double Iteration Process | *Wei-Chung Yeih ; Chia-Ming Fan ; I.-Y. Chan; Jeng Chang ; C.-S. Liu* | *Cmes-Computer Modeling in Engineering & Sciences* | | |

110 | 2014 | APPLICATION OF THE GENERALIZED FINITE-DIFFERENCE METHOD TO INVERSE BIHARMONIC BOUNDARY-VALUE PROBLEMS | *Chia-Ming Fan ; Yu-Kai Huang; Po-Wei Li; Chia-Lin Chiu* | *Numerical Heat Transfer Part B-Fundamentals* | 53 | |

111 | 2014 | Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method | *C.M. Fan ; Y.C. Liu; H.F. Chan; S.S. Hsiao* | *Inverse Problems in Science and Engineering* | 14 | |

112 | 2014 | Applications of the local RBF collocation method and the fictitious time integration method for Burgers'equations | *Chia-Ming Fan ; Chi-Hung Yang; Meng-Huang Gu* | *Procedia Engineering* | | |

113 | 2014 | Generalized finite difference method for solving two-dimensional Burgers’ equations | *Chia-Ming Fan ; Po-Wei Li* | | | |

114 | 2013 | Numerical solutions of fluid flow field by using the localized method of approximate particular solutions | *C.M. Fan * | | | |

115 | 2013 | THE LEAST SQUARES TREFFTZ METHOD AND THE METHOD OF EXTERNAL SOURCE FOR THE EIGENFREQUENCIES OF WAVEGUIDES | *Hui-Ming Fang ; Chia-Ming Fan ; Yan-Cheng Liu; Sung-Shan Hsiao * | *Journal of Marine Science and Technology-Taiwan* | 3 | |

116 | 2013 | Numerical solutions of velocity-vorticity formulation by local RBF collocation method | *C.M. Fan ; C.H. Yang* | | | |

117 | 2013 | Applications of the local RBF collocation method and the fictitious time integration method for Burgers’ equations | *C.M. Fan ; C.H. Yang; M.H. Gu* | | | |

118 | 2013 | Applications of the generalized finite difference method for inverse Cauchy problems | *C.M. Fan ; P.W. Li; C.C. Chang; W. Yeih* | | | |

119 | 2013 | Generalized finite difference method for solving two-dimensional Burgers’ equations | *Chia-Ming Fan ; Po-Wei Li* | | | |

120 | 2013 | Generalized finite difference method for solving two-dimensional Navier-Stokes equations | *C.M. Fan ; W.Y. Ding; P.W. Li* | | | |

121 | 2013 | Numerical solutions of velocity-vorticity formulation by using the local RBF collocation method | *C.M. Fan ; C.H. Yang* | | | |

122 | 2013 | Generalized finite difference method for solving inverse problems governed by fourth-order partial differential equations | *C.M. Fan ; Y.K. Huang; P.W. Li; C.L. Chiu* | | | |

123 | 2013 | Generalized finite difference method for solving two-dimensional non-linear obstacle problems | *Hsin-Fang Chan; Chia-Ming Fan ; Chia-Wen Kuo* | *Engineering Analysis with Boundary Elements* | 59 | |

124 | 2013 | Generalized finite difference method for solving two-dimensional nonlinear obstacle problems | *Hsin-Fang Chan; Chia-Ming Fan ; Chia-Wen Kuo* | *Engineering Analysis with Boundary Elements* | | |

125 | 2013 | THE MODIFIED COLLOCATION TREFFTZ METHOD AND EXPONENTIALLY CONVERGENT SCALAR HOMOTOPY ALGORITHM FOR THE INVERSE BOUNDARY DETERMINATION PROBLEM FOR THE BIHARMONIC EQUATION | *H.-F. Chan; C.-M. Fan * | *Journal of Mechanics* | 6 | |

126 | 2013 | The Local Radial Basis Function Collocation Method for Solving Two-Dimensional Inverse Cauchy Problems | *Hsin-Fang Chan; Chia-Ming Fan * | *Numerical Heat Transfer Part B-Fundamentals* | 39 | |

127 | 2013 | The local RBF collocation method for solving the double-diffusive natural convection in fluid-saturated porous media | *Chia-Ming Fan ; Chih-Shuan Chien; Hsin-Fang Chan; Chia-Lin Chiu* | *International Journal of Heat and Mass Transfer* | 49 | |

128 | 2013 | Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decomposition | *Chia-Ming Fan ; Hong-Huei Li* | *Applied Mathematics and Computation* | 11 | |

129 | 2012 | The method of fundamental solutions and Laplacian decomposition for solving two-dimensional Stokes problems | *C.M. Fan ; P.W. Li* | | | |

130 | 2012 | The local RBF collocation method for solving the non-linear obstacle problems | *C.H. Yang; C.M. Fan ; H.F. Chan; M.H. Gu* | | | |

131 | 2012 | The local RBF collocation method for solving the two-dimensional inverse Cauchy problems | *W.Y. Ding; C.M. Fan ; H.F. Chan* | | | |

132 | 2012 | Solution of the inverse impedance problem by using the modified collocation Trefftz method | *P.W. Li; C.M. Fan ; Y.C. Liu; S.S. Hsiao* | | | |

133 | 2012 | Numerical solutions of direct and inverse Stokes problems by the method of fundamental solutions and Laplacian decomposition | *C.M. Fan ; H.F. Chan* | | | |

134 | 2012 | Local RBF collocation method and fictitious time integration method for solving the obstacle problems | *H.F. Chan; C.M. Fan * | | | |

135 | 2012 | The method of approximate particular solutions for solving certain partial differential equations | *C.S. Chen; C.M. Fan ; P.H. Wen* | *Numerical Methods for Partial Differential Equations* | 137 | |

136 | 2012 | Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm | *Chia-Ming Fan ; Hsin-Fang Chan; Chung Lun Kuo ; Wei-Chung Yeih * | *Engineering Analysis with Boundary Elements* | 46 | |

137 | 2011 | The local RBF collocation method for solving the double-diffusive nature convection in parallelogrammic enclosures filled with fluid-saturated porous media problem | *C.S. Chien; C.M. Fan ; Y.C. Liu* | | | |

138 | 2011 | Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for analyzing cathodic protection | *C.Y. Hsu; C.M. Fan ; H.F. Chan* | | | |

139 | 2011 | The local RBF-based differential quadrature method for free surface Stefan problem | *C.H. Lin; C.M. Fan ; H.F. Chan* | | | |

140 | 2011 | Trefftz method and exponentially convergent scalar homotopy algorithm for solving free-surface seepage problems | *H.F. Chan; C.M. Fan * | | | |

141 | 2011 | THE METHOD OF FUNDEMENTAL SOLUTIONS FOR THE MULTI-DIMENSIONAL WAVE EQUATIONS | *Gu, MH; Fan, CM ; Young, DL* | *Journal of Marine Science and Technology-Taiwan* | 11 | |

142 | 2011 | The finite difference method combined with exponentially convergent scalar homotopy algorithm for solving the density-driven groundwater flow problems | *P.W. Li; C.M. Fan ; C.S. Chien* | | | |

143 | 2011 | Fictitious time integration method for solving diffusion equation with non-local boundary condition | *C.H. Lin; C.M. Fan ; H.F. Chan* | | | |

144 | 2011 | The local RBF collocation method for solving the double diffusive natural convection in a vertical porous enclosure with localized heating and salting from on side | *C.S. Chien; C.M. Fan * | | | |

145 | 2011 | Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for heat conduction problem with material nonlinearity | *C.Y. Hsu; C.M. Fan ; H.F. Chan* | | | |

146 | 2011 | Solving the boundary detection problem governed by modified Helmholtz equation by the least-squares Trefftz method | *Y.C. Liu; C.M. Fan ; H.F. Chan; S.S. Hsiao* | | | |

147 | 2011 | Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the shape optimization of an inverse Stokes problem | *H.F. Chan; C.M. Fan * | | | |

148 | 2011 | THE MODIFIED COLLOCATION TREFFTZ METHOD AND LAPLACIAN DECOMPOSITION FOR SOLVING TWO-DIMENSIONAL STOKES PROBLEMS | *Fan, CM ; Li, HH; Kuo, CL * | *Journal of Marine Science and Technology-Taiwan* | | |

149 | 2011 | Solving inverse Stokes problems by modified collocation Trefftz method | *C.M. Fan ; H.H. Li; C.H. Lin* | | | |

150 | 2011 | THE METHOD OF APPROXIMATE PARTICULAR SOLUTIONS FOR SOLVING ELLIPTIC PROBLEMS WITH VARIABLE COEFFICIENTS | *C. S. CHEN; C. M. FAN ; P. H. WEN* | *International Journal of Computational Methods* | 88 | |

151 | 2011 | Solution of Inverse Boundary Optimization Problem by Trefftz Method and Exponentially Convergent Scalar Homotopy Algorithm | *Chu, HF; Fan, CM ; Yeih, WC * | *Cmc-Computers Materials & Continua* | | |

152 | 2011 | The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for solving Signorini problems | *H.F. Chan; C.M. Fan ; Y.C. Liu; C.Y. Hsu* | | | |

153 | 2011 | Frequency response analyses in vibroacoustics using the method of fundamental solutions | *C. S. Wu; D. L. Young; C. M. Fan * | *Computational Mechanics* | 6 | |

154 | 2011 | Solving the Cauchy problem of nonlinear steady-state heat conduction problem equations by using the polynomial expansion method and the exponentially convergent scalar homotopy method (ECSHA) | *W. Yeih; C.M. Fan ; Z.C. Chang; C.Y. Ku* | | | |

155 | 2011 | The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the inverse boundary optimization problem | *H.F. Chan; C.M. Fan * | | | |

156 | 2011 | The method of fundamental solutions for the harbor oscillation problem | *Y.C. Liu; C.M. Fan ; H.F. Chan; S.S. Hsiao* | | | |

157 | 2011 | A novel perturbed dynamical method for solving singular systems of nonlinear equations | *C.Y. Ku; C.S. Liu; W. Yeih; C.M. Fan * | | | |

158 | 2011 | The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the inverse boundary determination problem | *H.F. Chan; C.M. Fan * | | | |

159 | 2011 | The least squares Trefftz method with external source for the eigenfrequencies of waveguides | *Y.C. Liu; C.M. Fan ; H.F. Chan; S.S. Hsiao* | | | |

160 | 2011 | Solving the direct and inverse Stokes problems by the boundary knot method and Laplacian decomposition | *H.H. Li; C.M. Fan ; H.F. Chan* | | | |

161 | 2011 | Modified Collocation Trefftz Method for the Geometry Boundary Identification Problem of Heat Conduction | *Chia-Ming Fan ; Hsin-Fang Chan* | *Numerical Heat Transfer Part B-Fundamentals* | 37 | |

162 | 2010 | The meshless analog equation method for solving heat transfer to molten polymer flow in tubes | *S.P. Hu; C.M. Fan ; D.L. Young* | *International Journal of Heat and Mass Transfer* | 9 | |

163 | 2010 | The Scalar Homotopy Method for Solving Non-Linear Obstacle Problem | *Chia-Ming Fan ; Chein-Shan Liu ; Wei-Chung Yeih ; Hsin-Fang Chan* | *Cmc-Computers Materials & Continua* | | |

164 | 2009 | The time-marching method of fundamental solutions for wave equations | *D.L. Young; M.H. Gu; C.M. Fan * | *Engineering Analysis with Boundary Elements* | 40 | |

165 | 2009 | METHOD OF FUNDAMENTAL SOLUTIONS WITH EXTERNAL SOURCE FOR THE EIGENFREQUENCIES OF WAVEGUIDES | *Fan, CM ; Young, DL; Chu, CL* | *Journal of Marine Science and Technology-Taiwan* | | |

166 | 2009 | The method of fundamental solutions for solving incompressible Navier-Stokes problems | *D.L. Young; Y.C. Lin; C.M. Fan ; C.L. Chiu* | *Engineering Analysis with Boundary Elements* | 35 | |

167 | 2009 | Numerical analysis of acoustic modes using the linear least squares method of fundamental solutions | *C.C. Tsai; D.L. Young; C.L. Chiu; C.M. Fan * | *Journal of Sound and Vibration* | 11 | |

168 | 2009 | The Method of Fundamental Solutions for One-Dimensional Wave Equations | *Gu, MH; Young, DL; Fan, CM * | *Cmc-Computers Materials & Continua* | | |

169 | 2009 | The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable Coefficients | *Fan, CM ; Chen, CS; Monroe, J* | *Advances in Applied Mathematics and Mechanics* | | |

170 | 2009 | 3D hybrid Cartesian/immersed-boundary finite-element analysis of heat and flow patterns in a two-roll mill | *C.L. Chiu; C.M. Fan ; D.L. Young* | *International Journal of Heat and Mass Transfer* | 6 | |

171 | 2009 | The Method of Fundamental Solutions with Eigenfunctions Expansion Method for 3D Nonhomogeneous Diffusion Equations | *D.L. Young; C.H. Chen; C.M. Fan ; L.H. Shen* | *Numerical Methods for Partial Differential Equations* | 4 | |

172 | 2008 | The Meshless Method for One-Dimensional Hyperbolic Equation | *Meng-Huang Gu; Der-Liang Young; Chia-Ming Fan * | *Journal of Aeronautics, Astronautics and Aviation.* | | |

173 | 2008 | The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers' equations | *D.L. Young; C.M. Fan ; S.P. Hu; S.N. Atluri* | *Engineering Analysis with Boundary Elements* | 58 | |

174 | 2008 | The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation | *D. L. Young; C.C. Tsai ; C. W. Chen; C.M. Fan * | *Computers & Mathematics with Applications* | 57 | |

175 | 2008 | Convective drying analysis of three-dimensional porous solid by mass lumping finite element technique | *K. Murugesan; D. C. Lo; D. L. Young; C. W. Chen; C. M. Fan * | *Heat and Mass Transfer* | 4 | |

176 | 2008 | FDMFS for diffusion equation with unsteady forcing function | *Hu, SP; Young, DL; Fan, CM * | *Cmes-Computer Modeling in Engineering & Sciences* | | |

177 | 2007 | A hybrid Cartesian/immersed-boundary finite-element method for simulating heat and flow patterns in a two-roll mill | *D. L. Young; C. L. Chiu; C. M. Fan * | *Numerical Heat Transfer Part B-Fundamentals* | 20 | |

178 | 2007 | Meshless numerical solutions for Burgers' equations by Multiquadrics method and Cole-Hopf transformation | *Chiu C.L.; Chia-Ming Fan ; Der-Liang Young* | | | |

179 | 2006 | Global matrix-free finite-element scheme for natural convection in a square cavity with step blockage | *K. Murugesan; D. C. Lo; D. L. Young; Chia-Ming Fan ; C. W. Chen* | *Numerical Heat Transfer Part B-Fundamentals* | 10 | |

180 | 2006 | MFS with time-dependent fundamental solutions for unsteady Stokes equations | *C.C. Tsai ; D.L. Young; C.M. Fan ; C.W. Chen* | *Engineering Analysis with Boundary Elements* | 38 | |

181 | 2006 | Method of fundamental solutions for plate vibrations in multiply connected domains | *C. C. Tsai; D. L. Young; C. M. Fan * | *Journal of Mechanics* | 7 | |

182 | 2006 | The method of fundamental solutions for eigenproblems in domains with and without interior holes | *C.M Fan ; C. W. Chen; D. L. Young; C.M. Fan * | *Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences* | 45 | |

183 | 2006 | Nonsingular boundary integral equation for two-dimensional electromagnetic scattering problems | *D. L. Young; C. L. Chiu; C. M. Fan * | *Microwave and Optical Technology Letters* | | |

184 | 2006 | Non-singular boundary integral equation for two-dimensional electromagnetic scattering problems | *D. L. Young; C. L. Chiu; C. M. Fan * | | | |

185 | 2006 | The method of fundamental solutions and domain decomposition method for degenerate seepage flownet problems | *Der‐Liang Young; Chia-Ming Fan ; Chia-Cheng Tsai ; Chi‐Wei Chen* | *Journal of the Chinese Institute of Engineers* | 27 | |

186 | 2006 | The method of fundamental solutions for 2D and 3D Stokes problems | *D. L. Young; S. C. Jane; C.M. Fan ; K. Murugesan; C.C. Tsai * | *Journal of Computational Physics* | 124 | |

187 | 2006 | The method of fundamental solutions with eigenfunction expansion method for nonhomogeneous diffusion equation | *D. L. Young; C. W. Chen; C.M. Fan ; C. C. Tsai * | *Numerical Methods for Partial Differential Equations* | 9 | |

188 | 2006 | Eulerian-Lagrangian method of fundamental solutions for multi-dimensional advection-diffusion equation | *D.L. Young; C.M. Fan ; C.C. Tsai; C.W. Chen; K. Murugesan* | *International Mathematical Forum* | | |

189 | 2006 | Method of fundamental solutions and Cole-Hopf transformation for Burgers’ equations | *D.L. Young; S.P. Hu; C.M. Fan ; C.W. Chen* | *Computational Fluid Dynamics Journal* | | |

190 | 2005 | The method of fundamental solutions for Stokes flow in a rectangular cavity with cylinders | *D. L. Young; C. W. Chen; C. M. Fan ; K. Murugesan; C.C. Tsai * | *European Journal of Mechanics B-Fluids* | 32 | |

191 | 2005 | Eigenanalysis for membranes with stringers using the methods of fundamental solutions and domain decomposition | *Chen, CW; Fan, CM ; Young, DL; Murugesan, K; Tsai, CC* | *Cmes-Computer Modeling in Engineering & Sciences* | 34 | |

192 | 2005 | Method of fundamental solutions for Stokes' first and second problems | *S. P. Hu; C. M. Fan ; C. W. Chen; D. L. Young* | *Journal of Mechanics* | 19 | |

193 | 2005 | Analysis of elliptical waveguides by the method of fundamental solutions | *D. L. Young; S. P. Hu; C. W. Chen; C. M. Fan ; K. Murugesan* | *Microwave and Optical Technology Letters* | 29 | |

194 | 2004 | Time-dependent fundamental solutions for homogeneous diffusion problems | *D.L. Young; C.C. Tsai ; K. Murugesan; C.M. Fan ; C.W. Chen* | *Engineering Analysis with Boundary Elements* | 97 | |

195 | 2004 | Direct approach to solve nonhomogeneous diffusion problems using fundamental solutions and dual reciprocity methods | *Der‐Liang Young; Chia-Cheng Tsai ; Chia-Ming Fan * | *Journal of the Chinese Institute of Engineers* | 24 | |

196 | 2002 | Analysis of the 2D Stokes flows by the non-singular boundary integral equation method | *Chia-Ming Fan ; Der-Liang Young* | *nternational Mathematical Journal* | | |