| 出版年月 |
著作類別 |
著作名稱 |
作者 |
收錄出處 |
| 2023-08 |
期刊論文
|
Electroelastic analysis of two-dimensional piezoelectric structures by the localized method of fundamental solutions |
Y. Gu*, J. Lin, C.M. Fan* |
Advances in Applied Mathematics and Mechanics
|
| 2023-07 |
期刊論文
|
A meshless generalized finite difference scheme for the stream function formulation of the Navier-Stokes equations |
P.W. Li*, C.M. Fan, Y.Z. Yu, L. Song |
Engineering Analysis with Boundary Elements
|
| 2023-07 |
期刊論文
|
Meshless generalized finite difference method with a domain-selection method for solving degenerate boundary problems |
J. Huang, H.G. Lyu*, C.M. Fan, J.H. Chen |
Engineering Analysis with Boundary Elements
|
| 2023-07 |
期刊論文
|
Numerical simulations of tank sloshing problems based on moving pseudo-boundary method of fundamental solution |
C. Wang, Y. Zou, J. Huang*, C.M. Fan |
Journal of Marine Science and Engineering
|
| 2023-03 |
期刊論文
|
Meshless generalized finite difference method with a domain-decomposition method for solving Helmholtz equation and its application to caisson resonance problems |
J. Huang, H.G. Lyu, J.H. Chen*, C.M. Fan |
Ocean Engineering
|
| 2023-02 |
期刊論文
|
A novel spatial-temporal radial Trefftz collocation method for the backward heat conduction analysis with time-dependent source term |
M. Li, Z. Fu*, W. Xu, C.M. Fan |
International Journal of Heat and Mass Transfer
|
| 2022-11 |
期刊論文
|
Developments of dynamic shoreline planform of crenulate-shaped bay by a novel evolution formulation |
H.C. Tao, T.W. Hsu*, C.M. Fan |
Water
|
| 2022-10 |
期刊論文
|
The localized method of fundamental solutions for 2D and 3D inhomogeneous problems |
J. Zhang, C. Yang*, H. Zheng*, C.M. Fan, M.F. Fu |
Mathematics and Computers in Simulation
|
| 2022-09 |
期刊論文
|
A space-time generalized finite difference method for solving unsteady double-diffusive natural convection in fluid-saturated porous media |
P.W. Li*, J. Grabski, C.M. Fan, F. Wang |
Engineering Analysis with Boundary Elements
|
| 2022-07 |
期刊論文
|
Numerical analysis of two spheres falling side by side |
C.L. Chiu, C.M. Fan*, C.R. Chu |
Physics of Fluids
|
| 2022-06 |
期刊論文
|
Generalized finite difference method for three-dimensional eigenproblems of Helmholtz equation |
J. Zhang*, R.J. Shuy, C.L. Chu, C.M. Fan |
Mathematics and Computers in Simulation
|
| 2022-06 |
期刊論文
|
The localized method of fundamental solutions for 2D and 3D second-order nonlinear boundary value problems |
S. Zhao, Y. Gu*, C.M. Fan, X. Wang |
Engineering Analysis with Boundary Elements
|
| 2022-05 |
期刊論文
|
Localized method of fundamental solutions for two-dimensional inhomogeneous inverse Cauchy problems |
J. Zhang, H. Zheng*, C.M. Fan, M.F. Fu |
Mathematics
|
| 2022-03 |
期刊論文
|
Meshless generalized finite difference method for the propagation of nonlinear water waves under complex wave conditions |
J. Huang*, C.M. Fan, J.H. Chen, J. Yan |
Mathematics
|
| 2022-01 |
期刊論文
|
A novel space-time generalized FDM for dynamic coupled thermoelasticity problems in heterogeneous plates |
J. Lei*, X. Wei. Q. Wang, Y. Gu, C.M. Fan |
Archive of Applied Mechanics
|
| 2021-12 |
期刊論文
|
Localized method of fundamental solutions for three-dimensional elasticity problems: Theory |
Y. Gu*, C.M. Fan and Z.J. Fu |
Advances in Applied Mathematics and Mechanics
|
| 2021-11 |
期刊論文
|
Numerical simulation of the time-dependent mild-slope equation by the generalized finite difference method |
T. Zhang, Z.H. Lin, C. Lin*, L. Liang and C.M. Fan |
Pure and Applied Geophysics
|
| 2021-10 |
期刊論文
|
A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique |
P.W. Li*, C.M. Fan, J.K. Grabski |
Engineering Analysis with Boundary Elements
|
| 2021-10 |
期刊論文
|
Analysis of in-plane crack problems using the localized method of fundamental solutions |
Y. Gu*, M.V. Golub, C.M. Fan |
Engineering Fracture Mechanics
|
| 2021-08 |
期刊論文
|
Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains |
F. Wang, Z. Chen, P.W. Li*, C.M. Fan |
Engineering Analysis with Boundary Elements
|
| 2021-07 |
期刊論文
|
A generalized finite difference method for solving elasticity interface problems |
Y. Xing, L. Song*, C.M. Fan |
Engineering Analysis with Boundary Elements
|
| 2021-06 |
期刊論文
|
Fracture mechanics analysis of bimaterial interface cracks using the generalized finite difference method |
S. Jiang, Y. Gu*, C.M. Fan, W. Qu |
Theoretical and Applied Fracture Mechanics
|
| 2021-05 |
期刊論文
|
Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains |
F. Wang*, Q. Zhao, Z. Chen, C.M. Fan |
Applied Mathematics and Computation
|
| 2021-04 |
期刊論文
|
Estimation of tumor characteristics in a skin tissue by a meshless collocation solver |
Z.J. Fu*, W.H. Chu, M. Yang, P.W. Li, C.M. Fan |
International Journal of Computational Methods
|
| 2021-04 |
期刊論文
|
Localized method of fundamental solutions for two-dimensional anisotropic elasticity problems |
Q.G. Liu, C.M. Fan, B. Sarler* |
Engineering Analysis with Boundary Elements
|
| 2021-04 |
期刊論文
|
Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method |
Y.C. Liu, C.M. Fan*, W. Yeih, C.Y. Ku, C.L. Chu |
Computers & Mathematics with Applications
|
| 2021-03 |
期刊論文
|
Improvement of generalized finite difference method for stochastic subsurface flow modeling |
S.Y. Chen, K.C. Hsu*, C.M. Fan |
Journal of Computational Physics
|
| 2021-03 |
期刊論文
|
Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations |
S. Liu, P.W. Li*, C.M. Fan, Y. Gu |
Engineering Analysis with Boundary Elements
|
| 2021-02 |
期刊論文
|
Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries |
X. Yue, F. Wang*, P.W. Li*, C.M. Fan |
Computers and Mathematics with Applications
|
| 2020-10 |
期刊論文
|
A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystals |
Z.J. Fu*, A.L. Li, C. Zhang, C.M. Fan, X.Y. Zhuang |
Engineering Analysis with Boundary Elements
|
| 2020-10 |
期刊論文
|
A novel space-time generalized FDM for transient heat conduction problems |
J. Lei*, Q. Wang, X. Liu, Y. Gu, C.M. Fan |
Engineering Analysis with Boundary Elements
|
| 2020-10 |
期刊論文
|
On the propagation of nonlinear water waves in a three-dimensional numerical wave flume using the generalized finite difference method |
J. Huang, C.N. Chu, C.M. Fan*, J.H. Chen, H. Lyu |
Engineering Analysis with Boundary Elements
|
| 2020-10 |
期刊論文
|
Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method |
Q. Zhao*, C.M. Fan, F. Wang*, W. Qu |
Engineering Analysis with Boundary Elements
|
| 2020-09 |
期刊論文
|
Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition |
L. Song, P.W. Li*, Y. Gu, C.M. Fan |
Computers and Mathematics with Applications
|
| 2020-08 |
期刊論文
|
A localized space-time method of fundamental solutions for diffusion and convection-diffusion problems |
F. Wang*, C.M. Fan, C. Zhang, J. Lin* |
Advances in Applied Mathematics and Mechanics
|
| 2020-07 |
期刊論文
|
Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions |
W. Qu, C.M. Fan, X. Li* |
Computers & Mathematics with Applications
|
| 2020-07 |
期刊論文
|
Wave-structure interaction for a stationary surface-piercing body based on a novel meshless scheme with the generalized finite difference method |
J. Huang*, H. Lyu, C.M. Fan, J.H. Chen, C.N. Chu, J. Gu |
Mathematics
|
| 2020-05 |
期刊論文
|
A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materials |
W. Hu, Y. Gu*, C.M. Fan |
Engineering Analysis with Boundary Elements
|
| 2020-02 |
期刊論文
|
Solving Boussinesq equations with a meshless finite difference method |
T. Zhang*, Z.H. Lin, G.Y. Huang, C.M. Fan, P.W. Li |
Ocean Engineering
|
| 2020-01 |
期刊論文
|
Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations |
F. Wang*, C.M. Fan, Q. Hua, Y. Gu |
Applied Mathematics and Computation
|
| 2019-12 |
期刊論文
|
A spacetime meshless method for modeling subsurface flow with a transient moving boundary |
C.Y. Ku, C.Y. Liu*, J.E. Xiao, W. Yeih, C.M. Fan |
Water
|
| 2019-12 |
期刊論文
|
Analysis of three-dimensional heat conduction in functionally graded materials by using a hybrid numerical method |
W. Qu*, C.M. Fan, Y. Zhang |
International Journal of Heat and Mass Transfer
|
| 2019-12 |
期刊論文
|
Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutions |
W. Qu*, C.M. Fan, Y. Gu, F. Wang |
Applied Mathematical Modelling
|
| 2019-12 |
期刊論文
|
Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code |
Y. Gu*, C.M. Fan, W. Qu, F. Wang, C. Zhang |
Computational Mechanics
|
| 2019-10 |
期刊論文
|
Localized method of fundamental solutions for interior Helmholtz problems with high wave number |
W. Qu*, C.M. Fan, Y. Gu |
Engineering Analysis with Boundary Elements
|
| 2019-09 |
期刊論文
|
The method of two-point angular basis function for solving Laplace equation |
C.L. Kuo, W. Yeih*, C.Y. Ku, C.M. Fan |
Engineering Analysis with Boundary Elements
|
| 2019-08 |
期刊論文
|
Localized method of fundamental solutions for large-scale modelling of three-dimensional anisotropic heat conduction problems - Theory and MATLAB code |
Y. Gu*, C.M. Fan*, W. Qu and F. Wang |
Computers and Structures
|
| 2019-07 |
期刊論文
|
A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations |
Z.Q. Bai, Y. Gu*, C.M. Fan |
Engineering Analysis with Boundary Elements
|
| 2019-07 |
期刊論文
|
Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems |
Y. Gu*, C.M. Fan, R.P. Xu |
Applied Mathematics Letters
|
| 2019-05 |
期刊論文
|
The MAPS based on trigonometric basis functions for solving elliptic partial differential equations with variable coefficients and Cauchy-Navier equations |
D. Wang, C.S. Chen, C.M. Fan*, M. Li, |
Mathematics and Computers in Simulation
|
| 2019-04 |
期刊論文
|
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
|
| 2019-03 |
期刊論文
|
A novel space-time meshless method for solving the backward heat conduction problem |
C.Y. Ku*, C.Y. Liu, W. Yeih, C.S. Liu, C.M. Fan |
International Journal of Heat and Mass Transfer
|
| 2019-03 |
期刊論文
|
Numerical solutions of waves-current interactions by generalized finite difference method |
C.M. Fan*, C.N. Chu, B. Sarler, T.H. Li |
Engineering Analysis with Boundary Elements
|
| 2019-03 |
期刊論文
|
On modeling subsurface flow using a novel hybrid Trefftz-MFS method |
C.Y. Ku*, J.E. Xiao, C.Y. Liu, C.M. Fan |
Engineering Analysis with Boundary Elements
|
| 2019-01 |
期刊論文
|
A combined scheme of generalized finite difference method and Krylov deferred correction technique for highly accurate solution of transient heat conduction problems |
W. Qu*, Y. Gu*, Y. Zhang, C.M. Fan, C. Zhang |
International Journal for Numerical Methods in Engineering
|
| 2019-01 |
期刊論文
|
The generalized finite difference method for in-plane crack problem |
J. Lei*, Y. Xu, Y. Gu, C.M. Fan |
Engineering Analysis with Boundary Elements
|
| 2018-11 |
期刊論文
|
New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equations |
Z. Tian*, C.M. Fan, Y. Deng, P.H. Wen |
Journal of the Franklin Institute
|
| 2018-10 |
期刊論文
|
Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media |
P.W. Li*, W. Chen, Z.J. Fu, C.M. Fan |
Engineering Analysis with Boundary Elements
|
| 2018-09 |
期刊論文
|
Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials |
Y. Wang, Y. Gu*, C.M. Fan, W. Chen, C. Zhang |
Engineering Analysis with Boundary Elements
|
| 2018-06 |
期刊論文
|
The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation |
Y. Gu*, J. Lei*, C.M. Fan, X.Q. He |
Engineering Analysis with Boundary Elements
|
| 2018-06 |
期刊論文
|
The method of particular solutions using trigonometric basis functions |
Z. Tian, X. Li*, C.M. Fan, C.S. Chen |
Journal of Computational and Applied Mathematics
|
| 2018-05 |
期刊論文
|
The method of fundamental solutions for solving non-linear Berger equation of thin elastic plate |
B. Lei, C.M. Fan, M. Li* |
Engineering Analysis with Boundary Elements
|
| 2018-03 |
期刊論文
|
Numerical solutions of mild slope equation by generalized finite difference method |
T. Zhang*, Y.J. Huang, L. Liang, C.M. Fan, P.W. Li |
Engineering Analysis with Boundary Elements
|
| 2017-10 |
期刊論文
|
On solving free surface problems in layered soil using the method of fundamental solutions |
J.E. Xiao, C.Y. Ku*, C.Y. Liu, C.M. Fan, W. Yeih |
Engineering Analysis with Boundary Elements
|
| 2017-07 |
期刊論文
|
Generalized finite difference method for two-dimensional shallow water equations |
P.W. Li and C.M. Fan* |
Engineering Analysis with Boundary Elements
|
| 2017-07 |
期刊論文
|
Solving inverse Laplace equation with singularity by weighted reproducing kernel collocation method |
J.P. Yang*, P.C. Guan, C.M. Fan |
International Journal of Applied Mechanics
|
| 2017-01 |
期刊論文
|
Numerical modeling for periodic oscillation of free overfall in a vertical drop pool |
C.L. Chiu*, C.M. Fan, S.C. Tsung |
JOURNAL OF HYDRAULIC ENGINEERING
|
| 2016-09 |
期刊論文
|
Application of generalized finite difference method to propagation of nonlinear water waves in numerical wave flume |
T. Zhang*, Y.F. Ren, Z.Q. Yang, C.M. Fan, P.W. Li |
Ocean Engineering
|
| 2016-04 |
期刊論文
|
Weighted reproducing kernel collocation method and error analysis for inverse Cauchy problems |
J.P. Yang*, P.C. Guan, C.M. Fan |
International Journal of Applied Mechanics
|
| 2016-02 |
期刊論文
|
Simulation of two-dimensional sloshing phenomenon by generalized finite difference method |
T. Zhang, Y.F. Ren, C.M. Fan*, P.W. Li |
Engineering Analysis with Boundary Elements
|
| 2015-09 |
期刊論文
|
Numerical solutions of direct and inverse Stokes problems by the method of fundamental solutions and the Laplacian decomposition |
C.M. Fan* and P.W. Li |
Numerical Heat Transfer, Part B: Fundamentals
|
| 2015-08 |
期刊論文
|
Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solution |
C.M. Fan*, C.H. Yang and W.S. Lai |
Engineering Analysis with Boundary Elements
|
| 2015-07 |
期刊論文
|
Generalized finite difference method for solving two-dimensional inverse Cauchy problems |
C.M. Fan*, P.W. Li and W. Yeih |
Inverse Problems in Science & Engineering
|
| 2015-04 |
期刊論文
|
Numerical solutions of two-dimensional Stokes flows by the boundary knot method |
C.M. Fan*, Y.K. Huang, P.W. Li and Y.T. Lee |
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
|
| 2015-04 |
期刊論文
|
Solving the inverse Cauchy problem of the Laplace equation using the method of fundamental solutions and the exponentially convergent scalar homotopy algorithm (ECSHA) |
W. Yeih, I.Y. Chan*, C.Y. Ku and C.M. Fan |
Journal of Marine Science and Technology-Taiwan
|
| 2015-01 |
期刊論文
|
Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method |
C.Y. Ku*, C.L. Kuo, C.M. Fan, C.S. Liu and P.C. Guan |
Engineering Analysis with Boundary Elements
|
| 2014-10 |
期刊論文
|
Generalized finite difference method for numerical solutions of density-driven groundwater flow |
P.W. Li, C.M. Fan*, C.Y. Chen and C.Y. Ku |
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
|
| 2014-10 |
期刊論文
|
Solving inverse Stokes problems by modified collocation Trefftz method |
C.M. Fan, H.H. Li, C.Y. Hsu, C.H. Lin |
Journal of Computational and Applied Mathematics
|
| 2014-05 |
期刊論文
|
A double iteration process for solving the nonlinear algebraic equations, especially for ill-posed nonlinear algebraic equations |
W. Yeih, I.Y. Chan, C.Y. Ku, C.M. Fan, P.C. Guan |
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
|
| 2014-05 |
期刊論文
|
Solving the Cauchy problem of the nonlinear steady-state heat equation using double iteration process |
W. Yeih, I.Y. Chan, C.M. Fan, J.J. Chang, C.S. Liu |
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
|
| 2014-02 |
期刊論文
|
Application of the generalized finite-difference method to inverse biharmonic boundary-value problems |
C.M. Fan, Y.K. Huang, P.W. Li, C.L. Chiu |
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
|
| 2014-02 |
期刊論文
|
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
|
| 2014- |
期刊論文
|
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 |
Procedia Engineering
|
| 2014- |
期刊論文
|
Generalized finite difference method for solving two-dimensional Burgers’ equations |
C.M. Fan, P.W. Li |
Procedia Engineering
|
| 2013-12 |
期刊論文
|
The least squares Trefftz method and the method of external source for the eigenfrequencies of waveguides |
H.M. Fang, C.M. Fan, Y.C. Liu, S.S. Hsiao |
Journal of Marine Science and Technology-Taiwan
|
| 2013-09 |
期刊論文
|
Generalized finite difference method for solving two-dimensional nonlinear obstacle problems |
H.F. Chan, C.M. Fan, C.W. Kuo |
Engineering Analysis with Boundary Elements
|
| 2013-06 |
期刊論文
|
The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the inverse boundary determination problem for the biharmonic problem |
H.F. Chan, C.M. Fan |
Journal of Mechanics
|
| 2013-04 |
期刊論文
|
The local radial basis function collocation method for solving two-dimensional inverse Cauchy problems |
H.F. Chan, C.M. Fan |
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
|
| 2013-02 |
期刊論文
|
Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decomposition |
C.M. Fan, H.H. Li |
Applied Mathematics and Computation
|
| 2013-02 |
期刊論文
|
The local RBF collocation method for solving the double-diffusive natural convection in fluid-saturated porous media |
C.M. Fan, C.S. Chien, H.F. Chan, C.L. Chiu |
International Journal of Heat and Mass Transfer
|
| 2012-03 |
期刊論文
|
The method of approximate particular solutions for solving certain partial differential equations |
C.S. Chen*, C.M. Fan and P.H. Wen |
Numerical Methods for Partial Differential Equations
|
| 2012-01 |
期刊論文
|
Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm |
C.M. Fan*, H.F. Chan, C.L. Kuo, W. Yeih |
Engineering Analysis with Boundary Elements
|
| 2011-10 |
期刊論文
|
The modified collocation Trefftz method and Laplacian decomposition for solving two-dimensional Stokes problems |
C.M. Fan*, H.H. Li and C.L. Kuo |
Journal of Marine Science and Technology-Taiwan
|
| 2011-09 |
期刊論文
|
The method of approximate particular solutions for solving elliptic problems with variable coefficients |
C.S. Chen*, C.M. Fan and P.H. Wen |
International Journal of Computational Methods
|
| 2011-08 |
期刊論文
|
Solution of inverse boundary optimization problem by Trefftz method and exponentially convergent scalar homotopy algorithm |
H.F. Chan, C.M. Fan* and W. Yeih |
CMC: Computers, Materials, & Continua
|
| 2011-01 |
期刊論文
|
Modified collocation Trefftz method for the geometry boundary identification problem of heat conduction |
C.M. Fan* and H.F. Chan |
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS
|
| 2010-01 |
期刊論文
|
The scalar homotopy method for solving non-linear obstacle problem |
C.M. Fan*, C.-S. Liu, W. Yeih, H.F. Chan |
CMC: Computers, Materials, & Continua
|
| 2009-04 |
期刊論文
|
The method of fundamental solutions for solving convection-diffusion equations with variable coefficients |
C.M. Fan*, C.S. Chen, J. Monroe |
Advances in Applied Mathematics and Mechanics
|
專利