Publications

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Issue DateTitleAuthor(s)SourceWOSFulltext/Archive link
12023Meshless 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
22022A 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
32022Developments of Dynamic Shoreline Planform of Crenulate-Shaped Bay by a Novel Evolution FormulationTao, Hung-Cheng; Hsu, Tai-Wen ; Fan, Chia-Ming WATER1
42022The 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
52022A 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
62022Numerical analysis of two spheres falling side by sideChiu, Chia-Lin; Fan, Chia-Ming ; Chu, Chia-RenPHYSICS OF FLUIDS1
72022The 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
82022Localized Method of Fundamental Solutions for Two-Dimensional Inhomogeneous Inverse Cauchy ProblemsZhang, Junli; Zheng, Hui; Fan, Chia-Ming ; Fu, Ming-FuMATHEMATICS0
92022Meshless Generalized Finite Difference Method for the Propagation of Nonlinear Water Waves under Complex Wave ConditionsHuang, Ji; Fan, Chia-Ming ; Chen, Jiahn-Horng ; Yan, JinMATHEMATICS2
102022Numerical 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
112021Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: TheoryGu, Yan; Fan, Chia-Ming ; Fu, ZhuojiaADVANCES IN APPLIED MATHEMATICS AND MECHANICS38
122021Numerical 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
132021Analysis of in-plane crack problems using the localized method of fundamental solutionsGu, Yan; Golub, Mikhail, V; Fan, Chia-Ming ENGINEERING FRACTURE MECHANICS13
142021A 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
152021Localized 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
162021A generalized finite difference method for solving elasticity interface problemsXing, Yanan; Song, Lina; Fan, Chia-Ming ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS3
172021Fracture mechanics analysis of bimaterial interface cracks using the generalized finite difference methodJiang, Songwei; Gu, Yan; Fan, Chia-Ming ; Qu, WenzhenTHEORETICAL AND APPLIED FRACTURE MECHANICS18
182021Localized 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
192021Numerical 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
202021Localized method of fundamental solutions for two-dimensional anisotropic elasticity problemsLiu, Q. G.; Fan, C. M. ; Sarler, B.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS8
212021Estimation 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
222021Improvement of generalized finite difference method for stochastic subsurface flow modelingChen, Shang-Ying; Hsu, Kuo-Chin; Fan, Chia-Ming JOURNAL OF COMPUTATIONAL PHYSICS8
232021Localized 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
242021Local 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
252020On 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
262020A 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
272020Topology 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
282020A 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
292020Generalized 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
302020A 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
312020Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutionsWenzhen Qu; Chia-Ming Fan ; Xiaolin LiComputers & Mathematics with Applications52
322020Wave-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
332020Generalized 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
342020A 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
352020Solving Boussinesq equations with a meshless finite difference methodTing Zhang; Zhen-Huan Lin; Guan-Yi Huang; Chia-Ming Fan ; Po-Wei LiOcean Engineering14
362020Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equationsFajie Wang; Chia-Ming Fan ; Qingsong Hua; Yan GuApplied Mathematics and Computation66
372019Localized 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
382019Analysis 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
392019Analysis of three-dimensional interior acoustic fields by using the localized method of fundamental solutionsWenzhen Qu; Chia-Ming Fan ; Yan Gu; Fajie WangApplied Mathematical Modelling32
402019A 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
412019Localized method of fundamental solutions for interior Helmholtz problems with high wave numberQu Wenzhen; Chia-Ming Fan ; Gu YanEngineering Analysis with Boundary Elements12
422019The 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
432019Localized 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
442019A 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
452019Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problemsYan Gu; Chia-Ming Fan ; Rui-Ping XuApplied Mathematics Letters76
462019The 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
472019Localized 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
482019A 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
492019Numerical solutions of waves-current interactions by generalized finite difference methodChia-Ming Fan ; Chu Chi-Nan; Božidar Šarler; Li Tsung-HanEngineering Analysis with Boundary Elements7
502019On 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
512019The generalized finite difference method for in-plane crack problemsLei Jun; Xu Yanjie; Gu Yan; Chia-Ming Fan Engineering Analysis with Boundary Elements24
522019A 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
532018New 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
542018Generalized 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
552018Domain-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
562018The 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
572018The method of particular solutions using trigonometric basis functionsZhaolu Tian; Xinxiang Li; C.M. Fan ; C.S. ChenJournal of Computational and Applied Mathematics9
582018The method of fundamental solutions for solving non-linear Berger equation of thin elastic plateBin Lei; C.M. Fan ; Ming LiEngineering Analysis with Boundary Elements4
592018Numerical 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
602017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
612017Generalized finite difference method for solving inverse Cauchy problem in linear elasticityPo-Wei Li; Yan Gu; Chia-Ming Fan 
622017On 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
632017Bragg reflection in a two-dimensional numerical wave flume by the generalized finite difference methodChia-Ming Fan ; Chi-Nan Chu; Tsung-Han Li
642017Generalized finite difference method for two-dimensional shallow water equationsPo-Wei Li; Chia-Ming Fan Engineering Analysis with Boundary Elements72
652017Solving Inverse Laplace Equation with Singularity by Weighted Reproducing Kernel Collocation MethodJudy P. Yang; Pai-Chen Guan ; Chia-Ming Fan International Journal of Applied Mechanics14
662017A localized scheme for the method of fundamental solutions for two-dimensional boundary value problemsChia-Ming Fan ; Yu-Kai Huang
672017The generalized finite difference method for two-dimensional shallow water equationsPo-Wei Li; Chia-Ming Fan 
682017Numerical Modeling for Periodic Oscillation of Free Overfall in a Vertical Drop PoolChia-Lin Chiu; Chia-Ming Fan ; Shun-Chung TsungJournal of Hydraulic Engineering9
692016Application 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
702016Weighted Reproducing Kernel Collocation Method and Error Analysis for Inverse Cauchy ProblemsJudy P. Yang; Pai-Chen Guan ; Chia-Ming Fan International Journal of Applied Mechanics20
712016Simulation of two-dimensional sloshing phenomenon by generalized finite difference methodTing Zhang; Yu-Fei Ren; Chia-Ming Fan ; Po-Wei LiEngineering Analysis with Boundary Elements29
722015Boundary 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
732015Generalized finite difference method for transient heat conduction problems in functionally graded materialsTsai-Jung Kuo; Chia-Ming Fan ; Chien-Chung Chang; Po-Wei Li
742015Singular boundary method for two-dimensional numerical wave flumeChia-Ming Fan ; Li-Jen Chang; Chieh-Lin Chen; Po-Wei Li; Yu-Kai Huang
752015The generalized finite difference method for two-dimensional shallow water equationsPo-Wei Li; Chia-Ming Fan 
762015Numerical 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 
772015Numerical 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
782015Generalized finite difference method for two-dimensional transient free-surface flowsPo-Wei Li; Chia-Ming Fan 
792015Numerical solutions of Signorini problems by singular boundary methodYu-Kai Huang; Chia-Ming Fan 
802015Determining 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 
812015A characteristic-based meshless model for numerical solutions of shallow water equationsPo-Wei Li; Chia-Ming Fan 
822015Generalized finite difference method for solving inverse Cauchy problemsChia-Ming Fan ; Tsung-Han Li; Chien-Chung Chang; Po-Wei Li; Yu-Kai Huang
832015A nonsingular boundary collocation method for the inverse problems in elasticityYing-Te Lee ; Chia-Ming Fan ; Shyh-Rong Kuo 
842015NUMERICAL 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
852015Numerical 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
862015Generalized finite difference method for solving two-dimensional inverse Cauchy problemsChia-Ming Fan ; Po-Wei Li; Wei-Chung Yeih Inverse Problems in Science and Engineering52
872015Numerical solutions of sloshing phenomenon by singular boundary methodChia-Ming Fan ; Chieh-Lin Chen; Po-Wei Li; Yu-Kai Huang
882015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 
892015Generalized 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)
902015SOLVING 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
912015Numerical Solutions of Two-dimensional Stokes Flows by the Boundary Knot MethodFan, CM ; Huang, YK; Li, PW; Lee, YT Cmes-Computer Modeling in Engineering & Sciences
922015Numerical 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
932014Meshless method for solving inverse problems governed by fourth-order partial differential equationsW.S. Lai; C.M. Fan ; M,H, Gu
942014The boundary knot method for two-dimensional Stokes flowsY.K. Huang; C.M. Fan ; P.W. Li; Y.T. Lee
952014Numerical solutions of three-dimensional inverse Cauchy problems by using generalized finite difference methodC.C. Chang; C.M. Fan ; P.W. Li
962014Generalized finite difference method for solving double-diffusive natural convection in fluid-saturated porous mediaP.W. Li; C.M. Fan 
972014Application of generalized finite difference method to groundwater flow in confined aquiferT.H. Li; P.W. Li; C.M. Fan 
982014Boundary knot method for boundary value problem in elasticityY.T. Lee; C.M. Fan ; Y.K. Huang
992014Generalized Finite Difference Method for Numerical Solutions of Density-driven Groundwater FlowsLi, PW; Fan, CM ; Chen, CY; Ku, CY Cmes-Computer Modeling in Engineering & Sciences
1002014Solving inverse Stokes problems by modified collocation Trefftz methodChia-Ming Fan ; Hong-Huei Li; Chuan-Yen Hsu; Chun-Hung LinJournal of Computational and Applied Mathematics7
1012014Generalized finite difference method for numerical solutions of density-driven groundwater flowP.W. Li; C.M. Fan ; C.Y. Chen; C.Y. Ku
1022014Numerical solutions of two-dimensional Stokes flow by the boundary knot methodC.M. Fan ; Y.K. Huang; P.W. Li; Y.T. Lee
1032014A 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
1042014Solving 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
1052014APPLICATION 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
1062014Solutions 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
1072014Applications of the local RBF collocation method and the fictitious time integration method for Burgers'equationsChia-Ming Fan ; Chi-Hung Yang; Meng-Huang GuProcedia Engineering
1082014Generalized finite difference method for solving two-dimensional Burgers’ equationsChia-Ming Fan ; Po-Wei Li
1092013Numerical solutions of fluid flow field by using the localized method of approximate particular solutionsC.M. Fan 
1102013THE 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
1112013Numerical solutions of velocity-vorticity formulation by local RBF collocation methodC.M. Fan ; C.H. Yang
1122013Applications of the local RBF collocation method and the fictitious time integration method for Burgers’ equationsC.M. Fan ; C.H. Yang; M.H. Gu
1132013Applications of the generalized finite difference method for inverse Cauchy problemsC.M. Fan ; P.W. Li; C.C. Chang; W. Yeih
1142013Generalized finite difference method for solving two-dimensional Burgers’ equationsChia-Ming Fan ; Po-Wei Li
1152013Generalized finite difference method for solving two-dimensional Navier-Stokes equationsC.M. Fan ; W.Y. Ding; P.W. Li
1162013Numerical solutions of velocity-vorticity formulation by using the local RBF collocation methodC.M. Fan ; C.H. Yang
1172013Generalized 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
1182013Generalized finite difference method for solving two-dimensional non-linear obstacle problemsHsin-Fang Chan; Chia-Ming Fan ; Chia-Wen KuoEngineering Analysis with Boundary Elements59
1192013Generalized finite difference method for solving two-dimensional nonlinear obstacle problemsHsin-Fang Chan; Chia-Ming Fan ; Chia-Wen KuoEngineering Analysis with Boundary Elements
1202013THE 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
1212013The Local Radial Basis Function Collocation Method for Solving Two-Dimensional Inverse Cauchy ProblemsHsin-Fang Chan; Chia-Ming Fan Numerical Heat Transfer Part B-Fundamentals39
1222013The 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
1232013Solving the inverse Stokes problems by the modified collocation Trefftz method and Laplacian decompositionChia-Ming Fan ; Hong-Huei LiApplied Mathematics and Computation11
1242012The method of fundamental solutions and Laplacian decomposition for solving two-dimensional Stokes problemsC.M. Fan ; P.W. Li
1252012The local RBF collocation method for solving the non-linear obstacle problemsC.H. Yang; C.M. Fan ; H.F. Chan; M.H. Gu
1262012The local RBF collocation method for solving the two-dimensional inverse Cauchy problemsW.Y. Ding; C.M. Fan ; H.F. Chan
1272012Solution of the inverse impedance problem by using the modified collocation Trefftz methodP.W. Li; C.M. Fan ; Y.C. Liu; S.S. Hsiao
1282012Numerical solutions of direct and inverse Stokes problems by the method of fundamental solutions and Laplacian decompositionC.M. Fan ; H.F. Chan
1292012Local RBF collocation method and fictitious time integration method for solving the obstacle problemsH.F. Chan; C.M. Fan 
1302012The method of approximate particular solutions for solving certain partial differential equationsC.S. Chen; C.M. Fan ; P.H. WenNumerical Methods for Partial Differential Equations137
1312012Numerical 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
1322011The 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
1332011Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for analyzing cathodic protectionC.Y. Hsu; C.M. Fan ; H.F. Chan
1342011The local RBF-based differential quadrature method for free surface Stefan problemC.H. Lin; C.M. Fan ; H.F. Chan
1352011Trefftz method and exponentially convergent scalar homotopy algorithm for solving free-surface seepage problemsH.F. Chan; C.M. Fan 
1362011THE METHOD OF FUNDEMENTAL SOLUTIONS FOR THE MULTI-DIMENSIONAL WAVE EQUATIONSGu, MH; Fan, CM ; Young, DLJournal of Marine Science and Technology-Taiwan11
1372011The 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
1382011Fictitious time integration method for solving diffusion equation with non-local boundary conditionC.H. Lin; C.M. Fan ; H.F. Chan
1392011The 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 
1402011Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for heat conduction problem with material nonlinearityC.Y. Hsu; C.M. Fan ; H.F. Chan
1412011Solving 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
1422011Modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the shape optimization of an inverse Stokes problemH.F. Chan; C.M. Fan 
1432011THE 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
1442011Solving inverse Stokes problems by modified collocation Trefftz methodC.M. Fan ; H.H. Li; C.H. Lin
1452011THE METHOD OF APPROXIMATE PARTICULAR SOLUTIONS FOR SOLVING ELLIPTIC PROBLEMS WITH VARIABLE COEFFICIENTSC. S. CHEN; C. M. FAN ; P. H. WENInternational Journal of Computational Methods88
1462011Solution of Inverse Boundary Optimization Problem by Trefftz Method and Exponentially Convergent Scalar Homotopy AlgorithmChu, HF; Fan, CM ; Yeih, WC Cmc-Computers Materials & Continua
1472011The 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
1482011Frequency response analyses in vibroacoustics using the method of fundamental solutionsC. S. Wu; D. L. Young; C. M. Fan Computational Mechanics6
1492011Solving 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
1502011The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the inverse boundary optimization problemH.F. Chan; C.M. Fan 
1512011The method of fundamental solutions for the harbor oscillation problemY.C. Liu; C.M. Fan ; H.F. Chan; S.S. Hsiao
1522011A novel perturbed dynamical method for solving singular systems of nonlinear equationsC.Y. Ku; C.S. Liu; W. Yeih; C.M. Fan 
1532011The modified collocation Trefftz method and exponentially convergent scalar homotopy algorithm for the inverse boundary determination problemH.F. Chan; C.M. Fan 
1542011The least squares Trefftz method with external source for the eigenfrequencies of waveguidesY.C. Liu; C.M. Fan ; H.F. Chan; S.S. Hsiao
1552011Solving the direct and inverse Stokes problems by the boundary knot method and Laplacian decompositionH.H. Li; C.M. Fan ; H.F. Chan
1562011Modified Collocation Trefftz Method for the Geometry Boundary Identification Problem of Heat ConductionChia-Ming Fan ; Hsin-Fang ChanNumerical Heat Transfer Part B-Fundamentals37
1572010The 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
1582010The Scalar Homotopy Method for Solving Non-Linear Obstacle ProblemChia-Ming Fan ; Chein-Shan Liu ; Wei-Chung Yeih ; Hsin-Fang ChanCmc-Computers Materials & Continua
1592009The time-marching method of fundamental solutions for wave equationsD.L. Young; M.H. Gu; C.M. Fan Engineering Analysis with Boundary Elements40
1602009METHOD OF FUNDAMENTAL SOLUTIONS WITH EXTERNAL SOURCE FOR THE EIGENFREQUENCIES OF WAVEGUIDESFan, CM ; Young, DL; Chu, CLJournal of Marine Science and Technology-Taiwan
1612009The 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
1622009Numerical 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
1632009The Method of Fundamental Solutions for One-Dimensional Wave EquationsGu, MH; Young, DL; Fan, CM Cmc-Computers Materials & Continua
1642009The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable CoefficientsFan, CM ; Chen, CS; Monroe, JAdvances in Applied Mathematics and Mechanics
16520093D 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
1662009The 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
1672008The Meshless Method for One-Dimensional Hyperbolic EquationMeng-Huang Gu; Der-Liang Young; Chia-Ming Fan Journal of Aeronautics, Astronautics and Aviation.
1682008The 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
1692008The 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
1702008Convective 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
1712008FDMFS for diffusion equation with unsteady forcing functionHu, SP; Young, DL; Fan, CM Cmes-Computer Modeling in Engineering & Sciences
1722007A 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
1732007Meshless numerical solutions for Burgers' equations by Multiquadrics method and Cole-Hopf transformationChiu C.L.; Chia-Ming Fan ; Der-Liang Young
1742006Global 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
1752006MFS with time-dependent fundamental solutions for unsteady Stokes equationsC.C. Tsai ; D.L. Young; C.M. Fan ; C.W. ChenEngineering Analysis with Boundary Elements38
1762006Method of fundamental solutions for plate vibrations in multiply connected domainsC. C. Tsai; D. L. Young; C. M. Fan Journal of Mechanics7
1772006The 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
1782006Nonsingular boundary integral equation for two-dimensional electromagnetic scattering problemsD. L. Young; C. L. Chiu; C. M. Fan Microwave and Optical Technology Letters
1792006Non-singular boundary integral equation for two-dimensional electromagnetic scattering problemsD. L. Young; C. L. Chiu; C. M. Fan 
1802006The 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
1812006The 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
1822006The 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
1832006Eulerian-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
1842006Method of fundamental solutions and Cole-Hopf transformation for Burgers’ equationsD.L. Young; S.P. Hu; C.M. Fan ; C.W. ChenComputational Fluid Dynamics Journal
1852005The 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
1862005Eigenanalysis 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
1872005Method of fundamental solutions for Stokes' first and second problemsS. P. Hu; C. M. Fan ; C. W. Chen; D. L. YoungJournal of Mechanics19
1882005Analysis 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
1892004Time-dependent fundamental solutions for homogeneous diffusion problemsD.L. Young; C.C. Tsai ; K. Murugesan; C.M. Fan ; C.W. ChenEngineering Analysis with Boundary Elements97
1902004Direct 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
1912002Analysis of the 2D Stokes flows by the non-singular boundary integral equation methodChia-Ming Fan ; Der-Liang Youngnternational Mathematical Journal