| 公開日期 | 標題 | 作者 | 來源出版物 | WOS | 全文 |
1 | 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 | |
2 | 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 | |
3 | 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 | |
4 | 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 | |
5 | 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 | |
6 | 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 | |
7 | 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 | |
8 | 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 | |
9 | 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 | |
10 | 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 | |
11 | 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 | |
12 | 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 | |
13 | 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 | |
14 | 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 | |
15 | 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 | |
16 | 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 | |
17 | 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 | |
18 | 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 | |
19 | 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 | |
20 | 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 | |
21 | 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 | |
22 | 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 | |
23 | 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 | |
24 | 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 | |
25 | 2017 | Generalized finite difference method for two-dimensional shallow water equations | Po-Wei Li; Chia-Ming Fan | Engineering Analysis with Boundary Elements | 72 | |
26 | 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 | |
27 | 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 | |
28 | 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 | |
29 | 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 | |
30 | 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 | |
31 | 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 | |
32 | 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 | |
33 | 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 | |
34 | 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) | | |
35 | 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 | |
36 | 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 | | |
37 | 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 | |
38 | 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 | | |
39 | 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 | |
40 | 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 | | |
41 | 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 | | |
42 | 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 | |
43 | 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 | |
44 | 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 | | |
45 | 2014 | Generalized finite difference method for solving two-dimensional Burgers’ equations | Chia-Ming Fan ; Po-Wei Li | | | |
46 | 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 | |
47 | 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 | |
48 | 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 | | |
49 | 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 | |
50 | 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 | |
51 | 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 | |
52 | 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 | |
53 | 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 | |
54 | 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 | |
55 | 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 | |
56 | 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 | | |
57 | 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 | |
58 | 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 | | |
59 | 2011 | Frequency response analyses in vibroacoustics using the method of fundamental solutions | C. S. Wu; D. L. Young; C. M. Fan | Computational Mechanics | 6 | |
60 | 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 | |
61 | 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 | |
62 | 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 | | |