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  1. National Taiwan Ocean University Research Hub
國立臺灣海洋大學 / 工學院

Fan, CM

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  • 簡歷
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  • 研究成果 198
  • 計畫與補助 19

研究成果
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依作者

  • 10 c. m. fan
  • 10 cheng-yu ku
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  • 8 gu, yan
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主題

  • 47 meshless method
  • 31 generalized finite difference method
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  • 43 2020 - 2025
  • 122 2010 - 2019
  • 33 2000 - 2009

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  • 117 journal article
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第 1 到 198 筆結果,共 198 筆。

公開日期標題作者來源出版物scopusWOS全文
12025/2/1Third-order MFS for solving two-dimensional Stokes flow problemsLiu, Chein-Shan ; Fan, Chia-Ming ; Kuo, Chung-LunENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
22025/1/1Design of Combined Rainwater-Harvesting and Stormwater-Detention System with Passive Release for New Buildings in TaiwanTsai, Hsin-Yuan; Fan, Chia-Ming ; Liaw, Chao-Hsien WATER
32024/9/23A space-time generalized finite difference scheme for long wave propagation based on high-order Korteweg-de Vries type equationsZhang, Fan; Li, Po-Wei; Gu, Yan; Fan, Chia-Ming MATHEMATICS AND COMPUTERS IN SIMULATION
42024/5/1An efficient localized Trefftz method for the simulation of two-dimensional sloshing behaviorsLin, Xiran; Xu, Liangbin; Liu, Yan-Cheng; Fan, C. M. OCEAN ENGINEERING
52024/3/14A stable numerical framework for long-time dynamic crack analysisQu, Wenzhen; Gu, Yan; Fan, Chia -Ming INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
62024/3/1An Improved One-Line Evolution Formulation for the Dynamic Shoreline Planforms of Embayed BeachesTao, Hung-Cheng; Hsu, Tai-Wen ; Fan, Chia-Ming WATER
72024/10/1Identifying the Layout of Retrofitted Rainwater Harvesting Systems with Passive Release for the Dual Purposes of Water Supply and Stormwater Management in Northern TaiwanTsai, Hsin-Yuan; Fan, Chia-Ming ; Liaw, Chao-Hsien WATER
82023Meshless generalized finite difference method with a domain-decomposition method for solving Helmholtz equation and its application to caisson resonance problemsHuang, Ji; Lyu, Hong-Guan; Chen, Jiahn-Horng ; Fan, Chia-Ming OCEAN ENGINEERING0
92022A novel spatial-temporal radial Trefftz collocation method for the backward heat conduction analysis with time-dependent source termLi, Mingjuan; Fu, Zhuojia; Xu, Wenzhi; Fan, Chia -Ming INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
102022Developments of Dynamic Shoreline Planform of Crenulate-Shaped Bay by a Novel Evolution FormulationTao, Hung-Cheng; Hsu, Tai-Wen ; Fan, Chia-Ming WATER1
112022The localized method of fundamental solutions for 2D and 3D inhomogeneous problemsZhang, Junli; Yang, Chenchen; Zheng, Hui; Fan, Chia-Ming ; Fu, Ming-FuMATHEMATICS AND COMPUTERS IN SIMULATION0
122022A space-time generalized finite difference method for solving unsteady double-diffusive natural convection in fluid-saturated porous mediaLi, Po-Wei; Grabski, Jakub Krzysztof; Fan, Chia-Ming ; Wang, FajieENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS6
132022Numerical analysis of two spheres falling side by sideChiu, Chia-Lin; Fan, Chia-Ming ; Chu, Chia-RenPHYSICS OF FLUIDS1
142022The localized method of fundamental solutions for 2D and 3D second-order nonlinear boundary value problemsZhao, Shengdong; Gu, Yan; Fan, Chia-Ming ; Wang, XiaoENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS1
152022Localized Method of Fundamental Solutions for Two-Dimensional Inhomogeneous Inverse Cauchy ProblemsZhang, Junli; Zheng, Hui; Fan, Chia-Ming ; Fu, Ming-FuMATHEMATICS0
162022Meshless Generalized Finite Difference Method for the Propagation of Nonlinear Water Waves under Complex Wave ConditionsHuang, Ji; Fan, Chia-Ming ; Chen, Jiahn-Horng ; Yan, JinMATHEMATICS2
172022Numerical 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 GEOPHYSICS0
182021Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: TheoryGu, Yan; Fan, Chia-Ming ; Fu, ZhuojiaADVANCES IN APPLIED MATHEMATICS AND MECHANICS38
192021Numerical Simulation of the Time-Dependent Mild-Slope Equation by the Generalized Finite Difference MethodZhang, Ting; Lin, Zhen-Huan; Lin, Chuan; Liang, Lin; Fan, Chia-Ming PURE APPL GEOPHYS19
202021Analysis of in-plane crack problems using the localized method of fundamental solutionsGu, Yan; Golub, Mikhail, V; Fan, Chia-Ming ENGINEERING FRACTURE MECHANICS13
212021A novel space-time generalized FDM for dynamic coupled thermoelasticity problems in heterogeneous platesLei, Jun; Wei, Xun; Wang, Qin; Gu, Yan; Fan, Chia-Ming ARCHIVE OF APPLIED MECHANICS4
222021Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domainsWang, Fajie; Chen, Zengtao; Li, Po-Wei; Fan, Chia-Ming ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS13
232021A generalized finite difference method for solving elasticity interface problemsXing, Yanan; Song, Lina; Fan, Chia-Ming ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS3
242021Fracture mechanics analysis of bimaterial interface cracks using the generalized finite difference methodJiang, Songwei; Gu, Yan; Fan, Chia-Ming ; Qu, WenzhenTHEORETICAL AND APPLIED FRACTURE MECHANICS18
252021Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domainsWang, Fajie; Zhao, Qinghai; Chen, Zengtao; Fan, Chia-Ming APPLIED MATHEMATICS AND COMPUTATION29
262021Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz methodLiu, Yan-Cheng; Fan, Chia-Ming ; Yeih, Weichung ; Ku, Cheng-Yu ; Chu, Chiung-LinCOMPUTERS & MATHEMATICS WITH APPLICATIONS16
272021Localized method of fundamental solutions for two-dimensional anisotropic elasticity problemsLiu, Q. G.; Fan, C. M. ; Sarler, B.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS8
282021Estimation of Tumor Characteristics in a Skin Tissue by a Meshless Collocation SolverFu, Zhuo-Jia; Chu, Wen-Hui; Yang, Min; Li, Po-Wei; Fan, Chia-Ming INT J COMP METH-SING2
292021Improvement of generalized finite difference method for stochastic subsurface flow modelingChen, Shang-Ying; Hsu, Kuo-Chin; Fan, Chia-Ming JOURNAL OF COMPUTATIONAL PHYSICS8
302021Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equationsLiu, Shuainan; Li, Po-Wei; Fan, Chia-Ming ; Gu, YanENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS15
312021Local non-singular knot method for large-scale computation of acoustic problems in complicated geometriesYue, Xingxing; Wang, Fajie; Li, Po-Wei; Fan, Chia-Ming COMPUTERS & MATHEMATICS WITH APPLICATIONS14
322020On the propagation of nonlinear water waves in a three-dimensional numerical wave flume using the generalized finite difference methodJi Huang; Chi-Nan Chu; Chia-Ming Fan ; Jiahn-Horng Chen ; Hongguan Lyu Engineering Analysis with Boundary Elements7
332020A localized meshless collocation method for bandgap calculation of anti-plane waves in 2D solid phononic crystalsZhuo-Jia Fu; Ai-Lun Li; Chuanzeng Zhang; Chia-Ming Fan ; Xiao-Ying ZhuangEngineering Analysis with Boundary Elements11
342020Topology optimization of steady-state heat conduction structures using meshless generalized finite difference methodQinghai Zhao; Chia-Ming Fan ; Fajie Wang; Wenzhen QuEngineering Analysis with Boundary Elements14
352020A novel space-time generalized FDM for transient heat conduction problemsJun Lei; Qin Wang; Xia Liu; Yan Gu; Chia-Ming Fan Engineering Analysis with Boundary Elements13
362020Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary conditionLina Song; Po-Wei Li; Yan Gu; Chia-Ming Fan Computers & Mathematics with Applications24
372020A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion ProblemsFajie Wang; Chia-Ming Fan ; Chuanzeng Zhang; Ji LinAdvances in Applied Mathematics and Mechanics54
382020Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutionsWenzhen Qu; Chia-Ming Fan ; Xiaolin LiComputers & Mathematics with Applications52
392020Wave-Structure Interaction for a Stationary Surface-Piercing Body Based on a Novel Meshless Scheme with the Generalized Finite Difference MethodJi Huang; Hongguan Lyu; Chia-Ming Fan ; Jiahn-Hong Chen; Chi-Nan Chu; Jiayang GuMathematics3
402020Generalized finite difference method for three-dimensional eigenproblems of Helmholtz equationZhang, Juan; Shuy, Rong-Juin; Chu, Chiung-Lin; Fan, Chia-Ming MATHEMATICS AND COMPUTERS IN SIMULATION0
412020A meshless collocation scheme for inverse heat conduction problem in three-dimensional functionally graded materialsWen Hu; Yan Gu; Chia-Ming Fan Engineering Analysis with Boundary Elements11
422020Solving Boussinesq equations with a meshless finite difference methodTing Zhang; Zhen-Huan Lin; Guan-Yi Huang; Chia-Ming Fan ; Po-Wei LiOcean Engineering14
432020Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equationsFajie Wang; Chia-Ming Fan ; Qingsong Hua; Yan GuApplied Mathematics and Computation66
442019Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB codeYan Gu; Chia-Ming Fan ; Wenzhen Qu; Fajie Wang; Chuanzeng ZhangComputational Mechanics28
452019Analysis of three-dimensional heat conduction in functionally graded materials by using a hybrid numerical methodWenzhen Qu; Chia-Ming Fan ; Yaoming ZhangInternational Journal of Heat and Mass Transfer22
462019Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutionsWenzhen Qu; Chia-Ming Fan ; Yan Gu; Fajie WangApplied Mathematical Modelling32
472019A Spacetime Meshless Method for Modeling Subsurface Flow with a Transient Moving BoundaryCheng-Yu Ku ; Chih-Yu Liu; Jing-En Xiao ; Wei-Chung Yeih ; Chia-Ming Fan Water4
482019Localized method of fundamental solutions for interior Helmholtz problems with high wave numberQu Wenzhen; Chia-Ming Fan ; Gu YanEngineering Analysis with Boundary Elements12
492019The method of two-point angular basis function for solving Laplace equationChung-Lun Kuo ; Wei-Chung Yeih ; Cheng-Yu Ku ; Chia-Ming Fan Engineering Analysis with Boundary Elements3
502019Localized method of fundamental solutions for large-scale modelling of three-dimensional anisotropic heat conduction problems - Theory and MATLAB codeYan Gu; Chia-Ming Fan ; WenZhen Qu; Fajie WangComputers & Structures8
512019A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equationsBai Zi-Qiang; Gu Yan; Fan Chia-Ming Engineering Analysis with Boundary Elements15
522019Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problemsYan Gu; Chia-Ming Fan ; Rui-Ping XuApplied Mathematics Letters76
532019The MAPS based on trigonometric basis functions for solving elliptic partial differential equations with variable coefficients and Cauchy-Navier equationsDan Wang; C.S. Chen; C.M. Fan ; Ming LiMathematics and Computers in Simulation6
542019Localized method of fundamental solutions for solving two-dimensional Laplace and biharmonic equationsC.M. Fan ; Y.K. Huang; C.S. Chen; S.R. Kuo Engineering Analysis with Boundary Elements61
552019A novel space-time meshless method for solving the backward heat conduction problemCheng-Yu Ku ; Chih-Yu Liu; Wei-Chung Yeih ; Chein-Shan Liu ; Chia-Ming Fan International Journal of Heat and Mass Transfer18
562019Numerical solutions of waves-current interactions by generalized finite difference methodChia-Ming Fan ; Chu Chi-Nan; Božidar Šarler; Li Tsung-HanEngineering Analysis with Boundary Elements7
572019On modeling subsurface flow using a novel hybrid Trefftz-MFS methodCheng-Yu Ku ; Jing-En Xiao; Chih-Yu Liu ; Chia-Ming Fan Engineering Analysis with Boundary Elements3
582019The generalized finite difference method for in-plane crack problemsLei Jun; Xu Yanjie; Gu Yan; Chia-Ming Fan Engineering Analysis with Boundary Elements24
592019A combined scheme of generalized finite difference method and Krylov deferred correction technique for highly accurate solution of transient heat conduction problemsWenzhen Qu; Yan Gu; Yaoming Zhang; Chia-Ming Fan ; Chuanzeng ZhangInternational Journal for Numerical Methods in Engineering21
602018New explicit iteration algorithms for solving coupled continuous Markovian jump Lyapunov matrix equationsZhaolu Tian; C.M. Fan ; Youjun Deng; P.H. WenJournal of the Franklin Institute-Engineering and Applied Mathematics6
612018Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous mediaLi Po-Wei; Wen Chen; Fu Zhuo-Jia; Chia-Ming Fan Engineering Analysis with Boundary Elements12
622018Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materialsWang, Y. Y.; Gu, Y.; Chia-Ming Fan ; Chen, W.; Zhang, C. Z.Engineering Analysis with Boundary Elements2
632018The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equationYan Gu; Jun Lei; Chia-Ming Fan ; Xiao-Qiao HeEngineering Analysis with Boundary Elements28
642018The method of particular solutions using trigonometric basis functionsZhaolu Tian; Xinxiang Li; C.M. Fan ; C.S. ChenJournal of Computational and Applied Mathematics9
652018The method of fundamental solutions for solving non-linear Berger equation of thin elastic plateBin Lei; C.M. Fan ; Ming LiEngineering Analysis with Boundary Elements4
662018Numerical solutions of mild slope equation by generalized finite difference methodZhang Ting; Huang Ying-Jie; Chyuan-Liang Lin; Chia-Ming Fan ; Li Po-WeiEngineering Analysis with Boundary Elements13
672017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
682017Generalized finite difference method for solving inverse Cauchy problem in linear elasticityPo-Wei Li; Yan Gu; Chia-Ming Fan 
692017On solving free surface problems in layered soil using the method of fundamental solutionsJing-En Xiao; Cheng-Yu Ku ; Chih-Yu Liu; Chia-Ming Fan ; Wei-Chung Yeih Engineering Analysis with Boundary Elements16
702017Bragg reflection in a two-dimensional numerical wave flume by the generalized finite difference methodChia-Ming Fan ; Chi-Nan Chu; Tsung-Han Li
712017Generalized finite difference method for two-dimensional shallow water equationsPo-Wei Li; Chia-Ming Fan Engineering Analysis with Boundary Elements72
722017Solving Inverse Laplace Equation with Singularity by Weighted Reproducing Kernel Collocation MethodJudy P. Yang; Pai-Chen Guan ; Chia-Ming Fan International Journal of Applied Mechanics14
732017A localized scheme for the method of fundamental solutions for two-dimensional boundary value problemsChia-Ming Fan ; Yu-Kai Huang
742017The generalized finite difference method for two-dimensional shallow water equationsPo-Wei Li; Chia-Ming Fan 
752017Numerical Modeling for Periodic Oscillation of Free Overfall in a Vertical Drop PoolChia-Lin Chiu; Chia-Ming Fan ; Shun-Chung TsungJournal of Hydraulic Engineering9
762016Application of generalized finite difference method to propagation of nonlinear water waves in numerical wave flumeTing Zhang; Yu-Fei Ren; Zhi-Qiang Yang; Chia-Ming Fan ; Po-Wei LiOcean Engineering24
772016Weighted Reproducing Kernel Collocation Method and Error Analysis for Inverse Cauchy ProblemsJudy P. Yang; Pai-Chen Guan ; Chia-Ming Fan International Journal of Applied Mechanics20
782016Simulation of two-dimensional sloshing phenomenon by generalized finite difference methodTing Zhang; Yu-Fei Ren; Chia-Ming Fan ; Po-Wei LiEngineering Analysis with Boundary Elements29
792015Boundary Knot method for numerical solutions of inverse problems governed by Laplace equation and biharmonic equationYin-Chi Lan; Chia-Ming Fan ; Yu-Kai Huang; Po-Wei Li
802015Generalized finite difference method for transient heat conduction problems in functionally graded materialsTsai-Jung Kuo; Chia-Ming Fan ; Chien-Chung Chang; Po-Wei Li
812015Singular boundary method for two-dimensional numerical wave flumeChia-Ming Fan ; Li-Jen Chang; Chieh-Lin Chen; Po-Wei Li; Yu-Kai Huang
822015The generalized finite difference method for two-dimensional shallow water equationsPo-Wei Li; Chia-Ming Fan 
832015Numerical solutions of transient groundwater flow in heterogeneous soil formations using the method of fundamental solutionsCheng-Yu Ku ; Jing-En Xiao; Chia-Ming Fan ; Chih-Yu Liu; Wei-Chung Yeih 
842015Numerical investigations of error in generalized finite difference method for second-order partial differential equationsChia-Ming Fan ; Yu-Kai Huang; Pai-Chen Guan ; Po-Wei Li
852015Generalized finite difference method for two-dimensional transient free-surface flowsPo-Wei Li; Chia-Ming Fan 
862015Numerical solutions of Signorini problems by singular boundary methodYu-Kai Huang; Chia-Ming Fan 
872015Determining temperature distribution and heat source for materials with nonlinear heat conduction coefficients using Cauchy dataWei-Chung Yeih ; I-Yao Chan; Cheng-Yu Ku ; Chia-Ming Fan ; Jiang-Jhy Chang 
882015A characteristic-based meshless model for numerical solutions of shallow water equationsPo-Wei Li; Chia-Ming Fan 
892015Generalized finite difference method for solving inverse Cauchy problemsChia-Ming Fan ; Tsung-Han Li; Chien-Chung Chang; Po-Wei Li; Yu-Kai Huang
902015A nonsingular boundary collocation method for the inverse problems in elasticityYing-Te Lee ; Chia-Ming Fan ; Shyh-Rong Kuo 
912015NUMERICAL SOLUTIONS OF DIRECT AND INVERSE STOKES PROBLEMS BY THE METHOD OF FUNDAMENTAL SOLUTIONS AND THE LAPLACIAN DECOMPOSITIONChia-Ming Fan ; Po-Wei LiNumerical Heat Transfer Part B-Fundamentals10
922015Numerical solutions of two-dimensional flow fields by using the localized method of approximate particular solutionsChia-Ming Fan ; Chi-Hung Yang; Wei-Shiang LaiEngineering Analysis with Boundary Elements12
932015Generalized finite difference method for solving two-dimensional inverse Cauchy problemsChia-Ming Fan ; Po-Wei Li; Wei-Chung Yeih Inverse Problems in Science and Engineering52
942015Numerical solutions of sloshing phenomenon by singular boundary methodChia-Ming Fan ; Chieh-Lin Chen; Po-Wei Li; Yu-Kai Huang
952015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 
962015Generalized 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)
972015SOLVING 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-Taiwan7
982015Numerical Solutions of Two-dimensional Stokes Flows by the Boundary Knot MethodFan, CM ; Huang, YK; Li, PW; Lee, YT Cmes-Computer Modeling in Engineering & Sciences
992015Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz methodCheng-Yu Ku ; Chung Lun Kuo ; Chia-Ming Fan ; Chein-Shan Liu ; Pai-Chen Guan Engineering Analysis with Boundary Elements26
1002014Meshless method for solving inverse problems governed by fourth-order partial differential equationsW.S. Lai; C.M. Fan ; M,H, Gu
1012014The boundary knot method for two-dimensional Stokes flowsY.K. Huang; C.M. Fan ; P.W. Li; Y.T. Lee
1022014Numerical solutions of three-dimensional inverse Cauchy problems by using generalized finite difference methodC.C. Chang; C.M. Fan ; P.W. Li
1032014Generalized finite difference method for solving double-diffusive natural convection in fluid-saturated porous mediaP.W. Li; C.M. Fan 
1042014Application of generalized finite difference method to groundwater flow in confined aquiferT.H. Li; P.W. Li; C.M. Fan 
1052014Boundary knot method for boundary value problem in elasticityY.T. Lee; C.M. Fan ; Y.K. Huang
1062014Generalized Finite Difference Method for Numerical Solutions of Density-driven Groundwater FlowsLi, PW; Fan, CM ; Chen, CY; Ku, CY Cmes-Computer Modeling in Engineering & Sciences
1072014Solving inverse Stokes problems by modified collocation Trefftz methodChia-Ming Fan ; Hong-Huei Li; Chuan-Yen Hsu; Chun-Hung LinJournal of Computational and Applied Mathematics7
1082014Generalized finite difference method for numerical solutions of density-driven groundwater flowP.W. Li; C.M. Fan ; C.Y. Chen; C.Y. Ku
1092014Numerical solutions of two-dimensional Stokes flow by the boundary knot methodC.M. Fan ; Y.K. Huang; P.W. Li; Y.T. Lee
1102014A Double Iteration Process for Solving the Nonlinear Algebraic Equations, Especially for Ill-posed Nonlinear Algebraic EquationsWei-Chung Yeih ; I-Yao Chan; Cheng-Yu Ku ; Chia-Ming Fan ; Pai-Chen Guan Cmes-Computer Modeling in Engineering & Sciences
1112014Solving the Cauchy Problem of the Nonlinear Steady-state Heat Equation Using Double Iteration ProcessWei-Chung Yeih ; Chia-Ming Fan ; I.-Y. Chan; Jeng Chang ; C.-S. LiuCmes-Computer Modeling in Engineering & Sciences
1122014APPLICATION OF THE GENERALIZED FINITE-DIFFERENCE METHOD TO INVERSE BIHARMONIC BOUNDARY-VALUE PROBLEMSChia-Ming Fan ; Yu-Kai Huang; Po-Wei Li; Chia-Lin ChiuNumerical Heat Transfer Part B-Fundamentals53
1132014Solutions of boundary detection problem for modified Helmholtz equation by Trefftz methodC.M. Fan ; Y.C. Liu; H.F. Chan; S.S. HsiaoInverse Problems in Science and Engineering14
1142014Applications of the local RBF collocation method and the fictitious time integration method for Burgers'equationsChia-Ming Fan ; Chi-Hung Yang; Meng-Huang GuProcedia Engineering
1152014Generalized finite difference method for solving two-dimensional Burgers’ equationsChia-Ming Fan ; Po-Wei Li
1162013Numerical solutions of fluid flow field by using the localized method of approximate particular solutionsC.M. Fan 
1172013THE LEAST SQUARES TREFFTZ METHOD AND THE METHOD OF EXTERNAL SOURCE FOR THE EIGENFREQUENCIES OF WAVEGUIDESHui-Ming Fang ; Chia-Ming Fan ; Yan-Cheng Liu; Sung-Shan Hsiao Journal of Marine Science and Technology-Taiwan3
1182013Numerical solutions of velocity-vorticity formulation by local RBF collocation methodC.M. Fan ; C.H. Yang
1192013Applications of the local RBF collocation method and the fictitious time integration method for Burgers’ equationsC.M. Fan ; C.H. Yang; M.H. Gu
1202013Applications of the generalized finite difference method for inverse Cauchy problemsC.M. Fan ; P.W. Li; C.C. Chang; W. Yeih
1212013Generalized finite difference method for solving two-dimensional Burgers’ equationsChia-Ming Fan ; Po-Wei Li
1222013Generalized finite difference method for solving two-dimensional Navier-Stokes equationsC.M. Fan ; W.Y. Ding; P.W. Li
1232013Numerical solutions of velocity-vorticity formulation by using the local RBF collocation methodC.M. Fan ; C.H. Yang
1242013Generalized finite difference method for solving inverse problems governed by fourth-order partial differential equationsC.M. Fan ; Y.K. Huang; P.W. Li; C.L. Chiu
1252013Generalized finite difference method for solving two-dimensional non-linear obstacle problemsHsin-Fang Chan; Chia-Ming Fan ; Chia-Wen KuoEngineering Analysis with Boundary Elements59
1262013Generalized finite difference method for solving two-dimensional nonlinear obstacle problemsHsin-Fang Chan; Chia-Ming Fan ; Chia-Wen KuoEngineering Analysis with Boundary Elements
1272013THE MODIFIED COLLOCATION TREFFTZ METHOD AND EXPONENTIALLY CONVERGENT SCALAR HOMOTOPY ALGORITHM FOR THE INVERSE BOUNDARY DETERMINATION PROBLEM FOR THE BIHARMONIC EQUATIONH.-F. Chan; C.-M. Fan Journal of Mechanics6
1282013The Local Radial Basis Function Collocation Method for Solving Two-Dimensional Inverse Cauchy ProblemsHsin-Fang Chan; Chia-Ming Fan Numerical Heat Transfer Part B-Fundamentals39
1292013The local RBF collocation method for solving the double-diffusive natural convection in fluid-saturated porous mediaChia-Ming Fan ; Chih-Shuan Chien; Hsin-Fang Chan; Chia-Lin ChiuInternational Journal of Heat and Mass Transfer49
1302013Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decompositionChia-Ming Fan ; Hong-Huei LiApplied Mathematics and Computation11
1312012The method of fundamental solutions and Laplacian decomposition for solving two-dimensional Stokes problemsC.M. Fan ; P.W. Li
1322012The local RBF collocation method for solving the non-linear obstacle problemsC.H. Yang; C.M. Fan ; H.F. Chan; M.H. Gu
1332012The local RBF collocation method for solving the two-dimensional inverse Cauchy problemsW.Y. Ding; C.M. Fan ; H.F. Chan
1342012Solution of the inverse impedance problem by using the modified collocation Trefftz methodP.W. Li; C.M. Fan ; Y.C. Liu; S.S. Hsiao
1352012Numerical solutions of direct and inverse Stokes problems by the method of fundamental solutions and Laplacian decompositionC.M. Fan ; H.F. Chan
1362012Local RBF collocation method and fictitious time integration method for solving the obstacle problemsH.F. Chan; C.M. Fan 
1372012The method of approximate particular solutions for solving certain partial differential equationsC.S. Chen; C.M. Fan ; P.H. WenNumerical Methods for Partial Differential Equations137
1382012Numerical solutions of boundary detection problems using modified collocation Trefftz method and exponentially convergent scalar homotopy algorithmChia-Ming Fan ; Hsin-Fang Chan; Chung Lun Kuo ; Wei-Chung Yeih Engineering Analysis with Boundary Elements46
1392011The local RBF collocation method for solving the double-diffusive nature convection in parallelogrammic enclosures filled with fluid-saturated porous media problemC.S. Chien; C.M. Fan ; Y.C. Liu
1402011Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for analyzing cathodic protectionC.Y. Hsu; C.M. Fan ; H.F. Chan
1412011The local RBF-based differential quadrature method for free surface Stefan problemC.H. Lin; C.M. Fan ; H.F. Chan
1422011Trefftz method and exponentially convergent scalar homotopy algorithm for solving free-surface seepage problemsH.F. Chan; C.M. Fan 
1432011THE METHOD OF FUNDEMENTAL SOLUTIONS FOR THE MULTI-DIMENSIONAL WAVE EQUATIONSGu, MH; Fan, CM ; Young, DLJournal of Marine Science and Technology-Taiwan11
1442011The finite difference method combined with exponentially convergent scalar homotopy algorithm for solving the density-driven groundwater flow problemsP.W. Li; C.M. Fan ; C.S. Chien
1452011Fictitious time integration method for solving diffusion equation with non-local boundary conditionC.H. Lin; C.M. Fan ; H.F. Chan
1462011The local RBF collocation method for solving the double diffusive natural convection in a vertical porous enclosure with localized heating and salting from on sideC.S. Chien; C.M. Fan 
1472011Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for heat conduction problem with material nonlinearityC.Y. Hsu; C.M. Fan ; H.F. Chan
1482011Solving the boundary detection problem governed by modified Helmholtz equation by the least-squares Trefftz methodY.C. Liu; C.M. Fan ; H.F. Chan; S.S. Hsiao
1492011Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the shape optimization of an inverse Stokes problemH.F. Chan; C.M. Fan 
1502011THE MODIFIED COLLOCATION TREFFTZ METHOD AND LAPLACIAN DECOMPOSITION FOR SOLVING TWO-DIMENSIONAL STOKES PROBLEMSFan, CM ; Li, HH; Kuo, CL Journal of Marine Science and Technology-Taiwan
1512011Solving inverse Stokes problems by modified collocation Trefftz methodC.M. Fan ; H.H. Li; C.H. Lin
1522011THE METHOD OF APPROXIMATE PARTICULAR SOLUTIONS FOR SOLVING ELLIPTIC PROBLEMS WITH VARIABLE COEFFICIENTSC. S. CHEN; C. M. FAN ; P. H. WENInternational Journal of Computational Methods88
1532011Solution of Inverse Boundary Optimization Problem by Trefftz Method and Exponentially Convergent Scalar Homotopy AlgorithmChu, HF; Fan, CM ; Yeih, WC Cmc-Computers Materials & Continua
1542011The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for solving Signorini problemsH.F. Chan; C.M. Fan ; Y.C. Liu; C.Y. Hsu
1552011Frequency response analyses in vibroacoustics using the method of fundamental solutionsC. S. Wu; D. L. Young; C. M. Fan Computational Mechanics6
1562011Solving 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
1572011The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the inverse boundary optimization problemH.F. Chan; C.M. Fan 
1582011The method of fundamental solutions for the harbor oscillation problemY.C. Liu; C.M. Fan ; H.F. Chan; S.S. Hsiao
1592011A novel perturbed dynamical method for solving singular systems of nonlinear equationsC.Y. Ku; C.S. Liu; W. Yeih; C.M. Fan 
1602011The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the inverse boundary determination problemH.F. Chan; C.M. Fan 
1612011The least squares Trefftz method with external source for the eigenfrequencies of waveguidesY.C. Liu; C.M. Fan ; H.F. Chan; S.S. Hsiao
1622011Solving the direct and inverse Stokes problems by the boundary knot method and Laplacian decompositionH.H. Li; C.M. Fan ; H.F. Chan
1632011Modified Collocation Trefftz Method for the Geometry Boundary Identification Problem of Heat ConductionChia-Ming Fan ; Hsin-Fang ChanNumerical Heat Transfer Part B-Fundamentals37
1642010The meshless analog equation method for solving heat transfer to molten polymer flow in tubesS.P. Hu; C.M. Fan ; D.L. YoungInternational Journal of Heat and Mass Transfer9
1652010The Scalar Homotopy Method for Solving Non-Linear Obstacle ProblemChia-Ming Fan ; Chein-Shan Liu ; Wei-Chung Yeih ; Hsin-Fang ChanCmc-Computers Materials & Continua
1662009The time-marching method of fundamental solutions for wave equationsD.L. Young; M.H. Gu; C.M. Fan Engineering Analysis with Boundary Elements40
1672009METHOD OF FUNDAMENTAL SOLUTIONS WITH EXTERNAL SOURCE FOR THE EIGENFREQUENCIES OF WAVEGUIDESFan, CM ; Young, DL; Chu, CLJournal of Marine Science and Technology-Taiwan
1682009The method of fundamental solutions for solving incompressible Navier-Stokes problemsD.L. Young; Y.C. Lin; C.M. Fan ; C.L. ChiuEngineering Analysis with Boundary Elements35
1692009Numerical analysis of acoustic modes using the linear least squares method of fundamental solutionsC.C. Tsai; D.L. Young; C.L. Chiu; C.M. Fan Journal of Sound and Vibration11
1702009The Method of Fundamental Solutions for One-Dimensional Wave EquationsGu, MH; Young, DL; Fan, CM Cmc-Computers Materials & Continua
1712009The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable CoefficientsFan, CM ; Chen, CS; Monroe, JAdvances in Applied Mathematics and Mechanics
17220093D hybrid Cartesian/immersed-boundary finite-element analysis of heat and flow patterns in a two-roll millC.L. Chiu; C.M. Fan ; D.L. YoungInternational Journal of Heat and Mass Transfer6
1732009The Method of Fundamental Solutions with Eigenfunctions Expansion Method for 3D Nonhomogeneous Diffusion EquationsD.L. Young; C.H. Chen; C.M. Fan ; L.H. ShenNumerical Methods for Partial Differential Equations4
1742008The Meshless Method for One-Dimensional Hyperbolic EquationMeng-Huang Gu; Der-Liang Young; Chia-Ming Fan Journal of Aeronautics, Astronautics and Aviation.
1752008The Eulerian-Lagrangian method of fundamental solutions for two-dimensional unsteady Burgers' equationsD.L. Young; C.M. Fan ; S.P. Hu; S.N. AtluriEngineering Analysis with Boundary Elements58
1762008The method of fundamental solutions and condition number analysis for inverse problems of Laplace equationD. L. Young; C.C. Tsai ; C. W. Chen; C.M. Fan Computers & Mathematics with Applications57
1772008Convective drying analysis of three-dimensional porous solid by mass lumping finite element techniqueK. Murugesan; D. C. Lo; D. L. Young; C. W. Chen; C. M. Fan Heat and Mass Transfer4
1782008FDMFS for diffusion equation with unsteady forcing functionHu, SP; Young, DL; Fan, CM Cmes-Computer Modeling in Engineering & Sciences
1792007A hybrid Cartesian/immersed-boundary finite-element method for simulating heat and flow patterns in a two-roll millD. L. Young; C. L. Chiu; C. M. Fan Numerical Heat Transfer Part B-Fundamentals20
1802007Meshless numerical solutions for Burgers' equations by Multiquadrics method and Cole-Hopf transformationChiu C.L.; Chia-Ming Fan ; Der-Liang Young
1812006Global matrix-free finite-element scheme for natural convection in a square cavity with step blockageK. Murugesan; D. C. Lo; D. L. Young; Chia-Ming Fan ; C. W. ChenNumerical Heat Transfer Part B-Fundamentals10
1822006MFS with time-dependent fundamental solutions for unsteady Stokes equationsC.C. Tsai ; D.L. Young; C.M. Fan ; C.W. ChenEngineering Analysis with Boundary Elements38
1832006Method of fundamental solutions for plate vibrations in multiply connected domainsC. C. Tsai; D. L. Young; C. M. Fan Journal of Mechanics7
1842006The method of fundamental solutions for eigenproblems in domains with and without interior holesC.M Fan ; C. W. Chen; D. L. Young; C.M. Fan Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences45
1852006Nonsingular boundary integral equation for two-dimensional electromagnetic scattering problemsD. L. Young; C. L. Chiu; C. M. Fan Microwave and Optical Technology Letters
1862006Non-singular boundary integral equation for two-dimensional electromagnetic scattering problemsD. L. Young; C. L. Chiu; C. M. Fan 
1872006The method of fundamental solutions and domain decomposition method for degenerate seepage flownet problemsDer‐Liang Young; Chia-Ming Fan ; Chia-Cheng Tsai ; Chi‐Wei ChenJournal of the Chinese Institute of Engineers27
1882006The method of fundamental solutions for 2D and 3D Stokes problemsD. L. Young; S. C. Jane; C.M. Fan ; K. Murugesan; C.C. Tsai Journal of Computational Physics124
1892006The method of fundamental solutions with eigenfunction expansion method for nonhomogeneous diffusion equationD. L. Young; C. W. Chen; C.M. Fan ; C. C. Tsai Numerical Methods for Partial Differential Equations9
1902006Eulerian-Lagrangian method of fundamental solutions for multi-dimensional advection-diffusion equationD.L. Young; C.M. Fan ; C.C. Tsai; C.W. Chen; K. MurugesanInternational Mathematical Forum
1912006Method of fundamental solutions and Cole-Hopf transformation for Burgers’ equationsD.L. Young; S.P. Hu; C.M. Fan ; C.W. ChenComputational Fluid Dynamics Journal
1922005The method of fundamental solutions for Stokes flow in a rectangular cavity with cylindersD. L. Young; C. W. Chen; C. M. Fan ; K. Murugesan; C.C. Tsai European Journal of Mechanics B-Fluids32
1932005Eigenanalysis for membranes with stringers using the methods of fundamental solutions and domain decompositionChen, CW; Fan, CM ; Young, DL; Murugesan, K; Tsai, CCCmes-Computer Modeling in Engineering & Sciences34
1942005Method of fundamental solutions for Stokes' first and second problemsS. P. Hu; C. M. Fan ; C. W. Chen; D. L. YoungJournal of Mechanics19
1952005Analysis of elliptical waveguides by the method of fundamental solutionsD. L. Young; S. P. Hu; C. W. Chen; C. M. Fan ; K. MurugesanMicrowave and Optical Technology Letters29
1962004Time-dependent fundamental solutions for homogeneous diffusion problemsD.L. Young; C.C. Tsai ; K. Murugesan; C.M. Fan ; C.W. ChenEngineering Analysis with Boundary Elements97
1972004Direct approach to solve nonhomogeneous diffusion problems using fundamental solutions and dual reciprocity methodsDer‐Liang Young; Chia-Cheng Tsai ; Chia-Ming Fan Journal of the Chinese Institute of Engineers24
1982002Analysis of the 2D Stokes flows by the non-singular boundary integral equation methodChia-Ming Fan ; Der-Liang Youngnternational Mathematical Journal

 

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