| 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 | | |
