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## Hon, Yiu-Chung

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 Author ID: hon.yiu-chung Published as: Hon, Benny; Hon, Benny Y. C.; Hon, Y. C.; Hon, Y.-C.; Hon, Yiu Chung; Hon, Yiu-Chung; Hon, Yiu-chung Homepage: http://www6.cityu.edu.hk/ma/people/profile/honb.htm
 Documents Indexed: 137 Publications since 1987, including 3 Books
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#### Co-Authors

 4 single-authored 17 Fan, Engui 12 Wei, Ting 11 Cheng, Jin 10 Yamamoto, Masahiro 9 Wen, Pihua H. 6 Chen, Ching-Shyang 6 Ling, Leevan 6 Schaback, Robert 6 Zhou, Xu 5 Sladek, Jan 5 Sladek, Vladimir 5 Wu, Zongmin 5 Xiong, Xiangtuan 5 Yang, Zonghang 5 Zhang, Yufeng 4 Wong, Siman 3 Chen, Wen 3 Deng, Zuicha 3 Dou, Fangfang 3 Golberg, Michael A. 3 Kansa, Edward J. 3 Li, Jichun 3 Li, Tak Sing 3 Wang, Yanbo 3 Xue, Weimin 2 Chan, Chi-Yuan 2 Korakianitis, Theodosios 2 Lee, June-Yub 2 Li, Mengze 2 Li, Ming 2 Li, Munan 2 Liew, Kim Meow 2 Mao, Xiuzhen 2 Mei, Jianqin 2 Sam, C. N. 2 Stoll, Martin 2 Takeuchi, Tomoya 2 Xu, Dinghua 2 Yang, Liu 2 Yu, Yue 2 Yun, Dongfang 2 Zhang, Jian 2 Zhong, Min 1 Armstrong, Cecil G. 1 Cheung, Kwok Fai 1 Chung, Siu-Leung 1 Dong, Huanhe 1 Duan, Yangyang 1 Feng, Binlu 1 Hickernell, Fred J. 1 Isakov, V. I. 1 Jiang, Tongsong 1 Krahulec, Slavomir 1 Lei, Miaoxin 1 Li, Meizhu 1 Li, Mengyang 1 Li, Mu 1 Li, Yuanxu 1 Liu, Gui-Rong 1 Liu, Yujiong 1 Lu, Maowang 1 Lu, Mingwan 1 Lu, Minwei 1 Lu, Shuai 1 McKeag, R. M. 1 Melnikov, Yuri A. 1 Qian, Zhi 1 Qin, Zhenyun 1 Šarler, Božidar 1 Seo, Jin Keun 1 Shi, Wanxia 1 Su, Mingde 1 Tian, Zhaolu 1 Wang, Jenn-Nan 1 Wang, Weiqung 1 Wei, Song 1 Wen, Pihua 1 Wen, Zhonghua 1 Wong, Anita S. M. 1 Xu, Xiaoxiao 1 Yun, Dong Fa 1 Zhao, Liping 1 Zhao, Wei 1 Zhao, Wei 1 Zhao, Wei 1 Zhao, Wen-Xiao 1 Zheng, Yanjun 1 Zhou, Qian 1 Zhu, Jielin 1 Zhu, Yuming
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#### Serials

 27 Engineering Analysis with Boundary Elements 11 Applied Mathematics and Computation 9 Computers & Mathematics with Applications 6 Chaos, Solitons and Fractals 5 International Journal for Numerical Methods in Engineering 5 Applied Mathematical Modelling 4 Inverse Problems 4 Journal of Inverse and Ill-Posed Problems 4 Advances in Computational Mathematics 3 Modern Physics Letters B 3 Applicable Analysis 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Quarterly of Applied Mathematics 2 Computational Mechanics 2 Journal of Scientific Computing 2 Chinese Journal of Numerical Mathematics and Applications 2 CMES. Computer Modeling in Engineering & Sciences 2 International Journal of Computational Methods 2 Inverse Problems in Science and Engineering 1 International Journal of Modern Physics B 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Zeitschrift fuer Naturforschung, A: Physical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Southeast Asian Bulletin of Mathematics 1 Applied Numerical Mathematics 1 Finite Elements in Analysis and Design 1 Journal of Complexity 1 Numerical Methods for Partial Differential Equations 1 Numerical Algorithms 1 Dynamic Systems and Applications 1 Numerical Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 RIMS Kokyuroku 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics 1 CMC. Computers, Materials, and Continua 1 Communications in Theoretical Physics 1 Journal of Mathematical Research with Applications
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#### Fields

 80 Numerical analysis (65-XX) 65 Partial differential equations (35-XX) 18 Fluid mechanics (76-XX) 15 Dynamical systems and ergodic theory (37-XX) 10 Mechanics of deformable solids (74-XX) 10 Classical thermodynamics, heat transfer (80-XX) 8 Ordinary differential equations (34-XX) 5 Geophysics (86-XX) 4 General and overarching topics; collections (00-XX) 4 Potential theory (31-XX) 4 Integral equations (45-XX) 4 Quantum theory (81-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Topological groups, Lie groups (22-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Nonassociative rings and algebras (17-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

120 Publications have been cited 2,223 times in 1,434 Documents Cited by Year
Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations. Zbl 0955.65086
Kansa, E. J.; Hon, Y. C.
2000
An efficient numerical scheme for Burger equation. Zbl 0943.65101
Hon, Y. C.; Mao, X. Z.
1998
On unsymmetric collocation by radial basis functions. Zbl 1026.65107
Hon, Y. C.; Schaback, R.
2001
A fundamental solution method for inverse heat conduction problem. Zbl 1073.80002
Hon, Y. C.; Wei, T.
2004
Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Zbl 1195.65206
Wei, Ting; Hon, Y. C.; Ling, Leevan
2007
Multiquadric method for the numerical solution of a biphasic mixture model. Zbl 0910.76059
Hon, Y. C.; Lu, M. W.; Xue, W. M.; Zhu, Y. M.
1997
Identification of source locations in two-dimensional heat equations. Zbl 1112.35147
Ling, Leevan; Yamamoto, Masahiro; Hon, Y. C.; Takeuchi, Tomoya
2006
Overlapping domain decomposition method by radial basis functions. Zbl 1013.65134
Zhou, X.; Hon, Y. C.; Li, Jichun
2003
Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation. Zbl 0980.35167
Hon, Y. C.; Wei, T.
2001
Domain decomposition for radial basis meshless methods. Zbl 1048.65124
Li, Jichun; Hon, Y. C.
2004
Numerical comparisons of two meshless methods using radial basis functions. Zbl 1003.65132
Li, Jichun; Hon, Y. C.; Chen, C. S.
2002
Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection-diffusion problems. Zbl 1050.76040
Chen, W.; Hon, Y. C.
2003
Multizone decomposition for simulation of time-dependent problems using the multiquadratic scheme. Zbl 0951.76066
Wong, A. S. M.; Hon, Y. C.; Li, T. S.; Chung, S. L.; Kansa, E. J.
1999
The method of fundamental solutions and quasi-Monte Carlo method for diffusion equations. Zbl 0929.76098
Chen, C. S.; Golberg, M. A.; Hon, Y. C.
1998
Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry. Zbl 1072.76048
Hon, Y. C.; Chen, W.
2003
A quasi-radial basis functions method for American options pricing. Zbl 1073.91588
Hon, Y. C.
2002
Applications of extended tanh method to ‘special’ types of nonlinear equations. Zbl 1027.65128
Fan, Engui; Hon, Y. C.
2003
A computational method for inverse free boundary determination problem. Zbl 1158.80328
Hon, Y. C.; Li, M.
2008
Inverse heat conduction problems by meshless local Petrov-Galerkin method. Zbl 1195.80020
2006
An adaptive greedy algorithm for solving large RBF collocation problems. Zbl 1019.65093
Hon, Y. C.; Schaback, R.; Zhou, X.
2003
Compactly supported radial basis functions for shallow water equations. Zbl 1126.76352
Wong, S. M.; Hon, Y. C.; Golberg, M. A.
2002
A quasi-interpolation method for solving stiff ordinary differential equations. Zbl 0962.65060
Hon, Y. C.; Wu, Zongmin
2000
A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves. Zbl 1031.76008
Fan, Enguiu; Hon, Y. C.
2003
A numerical computation for inverse boundary determination problem. Zbl 0972.65085
Hon, Y. C.; Wu, Zongmin
2000
A kind of explicit quasi-periodic solution and its limit for the Toda lattice equation. Zbl 1151.82320
Hon, Y. C.; Fan, Engui; Qin, Zhenyun
2008
A multiquadric interpolation method for solving initial value problems. Zbl 0907.65062
Hon, Y. C.; Mao, X. Z.
1997
Convergence error estimate in solving free boundary diffusion problem by radial basis functions method. Zbl 1040.91058
Wu, Zongmin; Hon, Y. C.
2003
Numerical computation of a Cauchy problem for Laplace’s equation. Zbl 0999.65100
Cheng, J.; Hon, Y. C.; Wei, T.; Yamamoto, M.
2001
Hon, Y. C.; Wu, Z.
2000
A discrepancy principle for the source points location in using the MFS for solving the BHCP. Zbl 1264.80031
Hon, Y. C.; Li, M.
2009
Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface. Zbl 1403.76140
Hon, Yiu-Chung; Šarler, Božidar; Yun, Dong-fang
2015
A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems. Zbl 1110.74871
Liu, Y.; Hon, Y. C.; Liew, K. M.
2006
Reconstruction of numerical derivates from scattered noisy data. Zbl 1071.65026
Wei, T.; Hon, Y. C.; Wang, Y. B.
2005
Super extension of Bell polynomials with applications to supersymmetric equations. Zbl 1273.81107
Fan, Engui; Hon, Y. C.
2012
Improved numerical solver for Kansa’s method based on affine space decomposition. Zbl 1182.65176
Ling, L.; Hon, Y. C.
2005
A new complex line soliton for the two-dimensional KdV-Burgers equation. Zbl 0979.35126
Fan, Engui; Zhang, Jian; Hon, Benny Y. C.
2001
Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation. Zbl 1352.65309
Dou, F. F.; Hon, Y. C.
2012
An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization. Zbl 1245.35144
Xiong, Xiangtuan; Zhou, Qian; Hon, Y. C.
2012
Inverse source identification by Green’s function. Zbl 1244.65162
Hon, Y. C.; Li, M.; Melnikov, Y. A.
2010
Conditional stability estimation for an inverse boundary problem with non-smooth boundary in $$\mathcal{R}^3$$. Zbl 0970.35163
Cheng, J.; Hon, Y. C.; Yamamoto, M.
2001
Double periodic solutions with Jacobi elliptic functions for two generalized Hirota-Satsuma coupled KdV systems. Zbl 1098.35559
Fan, Engui; Hon, Benny Y. C.
2002
A constructive solution for a generalized Thomas-Fermi theory of ionized atoms. Zbl 0639.34021
Chan, C. Y.; Hon, Y. C.
1987
Finite integration method for partial differential equations. Zbl 1427.65308
Wen, P. H.; Hon, Y. C.; Li, M.; Korakianitis, T.
2013
Inverse source identification for Poisson equation. Zbl 1194.65130
Ling, Leevan; Hon, Y. C.; Yamamoto, M.
2005
A meshless method based on RBFs method for nonhomogeneous backward heat conduction problem. Zbl 1244.80023
Li, Ming; Jiang, Tongsong; Hon, Y. C.
2010
A series of new exact solutions for a complex coupled KdV system. Zbl 1068.35130
Hon, Y. C.; Fan, E. G.
2004
Improved localized radial basis function collocation method for multi-dimensional convection-dominated problems. Zbl 1403.65106
Yun, Dong Fa; Hon, Y. C.
2016
Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem. Zbl 1208.65141
Hon, Y. C.; Takeuchi, Tomoya
2011
Solvability of partial differential equations by meshless kernel methods. Zbl 1136.65111
Hon, Y. C.; Schaback, Robert
2008
Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations. Zbl 1068.35156
Hon, Y. C.; Fan, Engui
2005
A new formulation and computation of the triphasic model for mechano-electrochemical mixtures. Zbl 0946.76097
Hon, Y. C.; Lu, M. W.; Xue, W. M.; Zhou, X.
1999
Numerical computation for backward time-fractional diffusion equation. Zbl 1297.65112
Dou, F. F.; Hon, Y. C.
2014
Finite integration method for nonlocal elastic bar under static and dynamic loads. Zbl 1287.74051
Li, M.; Hon, Y. C.; Korakianitis, T.; Wen, P. H.
2013
On a direct procedure for the quasi-periodic wave solutions of the supersymmetric Ito’s equation. Zbl 1236.81114
Fan, E. G.; Hon, Y. C.
2010
Geometrically nonlinear analysis of Reissner-Mindlin plate by meshless computation. Zbl 1232.74068
Wen, P. H.; Hon, Y. C.
2007
Numerical differentiation by radial basis functions approximation. Zbl 1138.65025
Wei, T.; Hon, Y. C.
2007
An algebro-geometric solution for a Hamiltonian system with application to dispersive long wave equation. Zbl 1076.37058
Hon, Y. C.; Fan, E. G.
2005
A grid-free, nonlinear shallow-water model with moving boundary. Zbl 1130.76405
Zhou, X.; Hon, Y. C.; Cheung, K. F.
2004
Radial basis function approximations as smoothing splines. Zbl 0927.41008
Hickernell, Fred J.; Hon, Y. C.
1999
A numerical method for the discontinuous solutions of Abel integral equations. Zbl 1064.65153
Cheng, J.; Hon, Y. C.; Wang, Y. B.
2004
A decomposition method for the Thomas-Fermi equation. Zbl 0858.34017
Hon, Y. C.
1996
Computation for multidimensional Cauchy problem. Zbl 1044.65074
Wei, T.; Hon, Y. C.; Cheng, J.
2003
Solving the 3D Laplace equation by meshless collocation via harmonic kernels. Zbl 1272.65096
Hon, Y. C.; Schaback, R.
2013
Some evolution hierarchies derived from self-dual Yang-Mills equations. Zbl 1247.37075
Zhang, Yu-Feng; Hon, Y. C.
2011
Quasiperiodic wave solutions of $${\mathcal N}=2$$ supersymmetric KdV equation in superspace. Zbl 1202.81035
Fan, E. G.; Hon, Y. C.
2010
Reconstruction of high order derivatives from input data. Zbl 1115.65022
Wang, Y. B.; Hon, Y. C.; Cheng, J.
2006
Solitary wave and doubly periodic wave solutions for the Kersten-Krasil’shchik coupled KdV-mKdV system. Zbl 1068.35131
Hon, Y. C.; Fan, E. G.
2004
Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equations. Zbl 1251.35127
Hon, Y. C.; Fan, Engui
2012
A meshless method for solving nonhomogeneous Cauchy problems. Zbl 1259.65193
Li, Ming; Chen, C. S.; Hon, Y. C.
2011
Meshless analyses for time-fractional heat diffusion in functionally graded materials. Zbl 1403.74305
2016
Meshless collocation method by delta-shaped basis functions for default barrier model. Zbl 1244.65154
Hon, Y. C.; Yang, Zonghang
2009
A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation. Zbl 1172.35480
Hon, Y. C.; Fan, E. G.
2009
Soliton solutions and doubly periodic wave solutions for a new generalized Hirota-Satsuma coupled system. Zbl 1038.35092
Hon, Y. C.; Fan, E. G.
2003
Special issue: Radial basis functions and partial differential equations. Zbl 0993.00504
Kansa, Edward J. (ed.); Hon, Yiu-Chung (ed.)
2002
Stability in line unique continuation of harmonic functions: General dimensions. Zbl 0914.31002
Cheng, J.; Hon, Y. C.; Yamamoto, M.
1998
Improved finite integration method for partial differential equations. Zbl 1403.65264
Li, M.; Tian, Zhao Lu; Hon, Y. C.; Chen, C. S.; Wen, P. H.
2016
The inverse problem of determining heat transfer coefficients by the meshless local Petrov-Galerkin method. Zbl 1231.65163
2009
Hamiltonian structures of two integrable couplings of the modified AKNS hierarchy. Zbl 1141.37027
Zhang, Yufeng; Hon, Y. C.
2007
A meshless computational method for solving inverse heat conduction problem. Zbl 1011.65065
Hon, Y. C.; Wei, T.
2002
A meshless multilayer model for a coastal system by radial basis functions. Zbl 1073.86501
Wong, S. M.; Hon, Y. C.; Li, T. S.
2002
Numerical justification of fundamental solutions and the quasi-Monte Carlo method for Poisson-type equations. Zbl 0940.65133
Chen, C. S.; Golberg, M. A.; Hon, Y. C.
1998
Computational methods for generalized Thomas-Fermi models of neutral atoms. Zbl 0674.34023
Chan, C. Y.; Hon, Y. C.
1988
Finite integration method with radial basis function for solving stiff problems. Zbl 1402.65051
Li, Yan; Hon, Yiu-Chung
2017
Recovery of time-dependent volatility in option pricing model. Zbl 1371.91191
Deng, Zui-Cha; Hon, Y. C.; Isakov, V.
2016
Adaptive least squares finite integration method for higher-dimensional singular perturbation problems with multiple boundary layers. Zbl 1410.65273
Yun, D. F.; Wen, Z. H.; Hon, Y. C.
2015
An optimal control method for nonlinear inverse diffusion coefficient problem. Zbl 1301.49094
Deng, Zui-Cha; Hon, Y.-C.; Yang, Liu
2014
Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain. Zbl 1308.65161
Xiong, X. T.; Hon, Y. C.
2013
Dynamic responses of shear flows over a deformable porous surface layer in a cylindrical tube. Zbl 1167.76332
Wen, P. H.; Hon, Y. C.; Wang, W.
2009
Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems. Zbl 1409.65081
Zhao, Wei; Hon, Yiu-chung; Stoll, Martin
2018
Characterizing time dependent anomalous diffusion process: a survey on fractional derivative and nonlinear models. Zbl 1400.65047
Wei, Song; Chen, Wen; Hon, Y. C.
2016
Simultaneous identification of unknown initial temperature and heat source. Zbl 1362.35337
Yang, Liu; Deng, Zui-Cha; Hon, Yiu-Chung
2016
The meshless kernel-based method of lines for parabolic equations. Zbl 1369.65109
Hon, Y. C.; Schaback, R.; Zhong, M.
2014
Numerical algorithm for triphasic model of charged and hydrated soft tissues. Zbl 1076.74570
Hon, Y. C.; Lu, M. W.; Xue, W. M.; Zhou, X.
2002
Fundamental kernel-based method for backward space-time fractional diffusion problem. Zbl 1443.65174
Dou, F. F.; Hon, Y. C.
2016
Finite integration method for solving multi-dimensional partial differential equations. Zbl 1443.65391
Li, M.; Chen, C. S.; Hon, Y. C.; Wen, P. H.
2015
Reconstruction of inaccessible boundary value in a sideways parabolic problem with variable coefficients – forward collocation with finite integration method. Zbl 1403.65054
Yu, Yue; Xu, Dinghua; Hon, Y. C.
2015
Numerical solution of two-dimensional radially symmetric inverse heat conduction problem. Zbl 06425416
Qian, Zhi; Hon, Benny Y. C.; Xiong, Xiang Tuan
2015
Super quasiperiodic wave solutions and asymptotic analysis for $$\mathcal N=1$$ supersymmetric KdV-type equations. Zbl 1274.35326
Hon, Y. C.; Fan, Engui
2011
Meshless computation for partial differential equations of fractional order. Zbl 1244.76093
Wen, P. H.; Hon, Y. C.
2011
Inverse fracture problems in piezoelectric solids by local integral equation method. Zbl 1244.74123
2009
Generalized finite integration method for solving multi-dimensional partial differential equations. Zbl 07006033
Sam, C. N.; Hon, Y. C.
2019
Localized radial basis functions-based pseudo-spectral method (LRBF-PSM) for nonlocal diffusion problems. Zbl 1409.65081
Zhao, Wei; Hon, Yiu-chung; Stoll, Martin
2018
Finite integration method with radial basis function for solving stiff problems. Zbl 1402.65051
Li, Yan; Hon, Yiu-Chung
2017
Improved localized radial basis function collocation method for multi-dimensional convection-dominated problems. Zbl 1403.65106
Yun, Dong Fa; Hon, Y. C.
2016
Meshless analyses for time-fractional heat diffusion in functionally graded materials. Zbl 1403.74305
2016
Improved finite integration method for partial differential equations. Zbl 1403.65264
Li, M.; Tian, Zhao Lu; Hon, Y. C.; Chen, C. S.; Wen, P. H.
2016
Recovery of time-dependent volatility in option pricing model. Zbl 1371.91191
Deng, Zui-Cha; Hon, Y. C.; Isakov, V.
2016
Characterizing time dependent anomalous diffusion process: a survey on fractional derivative and nonlinear models. Zbl 1400.65047
Wei, Song; Chen, Wen; Hon, Y. C.
2016
Simultaneous identification of unknown initial temperature and heat source. Zbl 1362.35337
Yang, Liu; Deng, Zui-Cha; Hon, Yiu-Chung
2016
Fundamental kernel-based method for backward space-time fractional diffusion problem. Zbl 1443.65174
Dou, F. F.; Hon, Y. C.
2016
Local radial basis function collocation method for solving thermo-driven fluid-flow problems with free surface. Zbl 1403.76140
Hon, Yiu-Chung; Šarler, Božidar; Yun, Dong-fang
2015
Adaptive least squares finite integration method for higher-dimensional singular perturbation problems with multiple boundary layers. Zbl 1410.65273
Yun, D. F.; Wen, Z. H.; Hon, Y. C.
2015
Finite integration method for solving multi-dimensional partial differential equations. Zbl 1443.65391
Li, M.; Chen, C. S.; Hon, Y. C.; Wen, P. H.
2015
Reconstruction of inaccessible boundary value in a sideways parabolic problem with variable coefficients – forward collocation with finite integration method. Zbl 1403.65054
Yu, Yue; Xu, Dinghua; Hon, Y. C.
2015
Numerical solution of two-dimensional radially symmetric inverse heat conduction problem. Zbl 06425416
Qian, Zhi; Hon, Benny Y. C.; Xiong, Xiang Tuan
2015
A one-dimensional inverse problem in composite materials: regularization and error estimates. Zbl 1443.74130
Xiong, X. T.; Shi, W. X.; Hon, Y. C.
2015
Direct meshless kernel techniques for time-dependent equations. Zbl 1339.65190
Hon, Y. C.; Schaback, R.
2015
Multiscale support vector approach for solving ill-posed problems. Zbl 1331.65181
Zhong, Min; Hon, Yiu Chung; Lu, Shuai
2015
Numerical computation for backward time-fractional diffusion equation. Zbl 1297.65112
Dou, F. F.; Hon, Y. C.
2014
An optimal control method for nonlinear inverse diffusion coefficient problem. Zbl 1301.49094
Deng, Zui-Cha; Hon, Y.-C.; Yang, Liu
2014
The meshless kernel-based method of lines for parabolic equations. Zbl 1369.65109
Hon, Y. C.; Schaback, R.; Zhong, M.
2014
Stability estimate and the modified regularization method for a Cauchy problem of the fractional diffusion equation. Zbl 1294.65090
Xiong, Xiangtuan; Zhao, Liping; Hon, Y. C.
2014
Finite integration method for partial differential equations. Zbl 1427.65308
Wen, P. H.; Hon, Y. C.; Li, M.; Korakianitis, T.
2013
Finite integration method for nonlocal elastic bar under static and dynamic loads. Zbl 1287.74051
Li, M.; Hon, Y. C.; Korakianitis, T.; Wen, P. H.
2013
Solving the 3D Laplace equation by meshless collocation via harmonic kernels. Zbl 1272.65096
Hon, Y. C.; Schaback, R.
2013
Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain. Zbl 1308.65161
Xiong, X. T.; Hon, Y. C.
2013
Stability estimate on meshless unsymmetric collocation method for solving boundary value problems. Zbl 1297.65167
Duan, Y.; Hon, Y. C.; Zhao, W.
2013
Super extension of Bell polynomials with applications to supersymmetric equations. Zbl 1273.81107
Fan, Engui; Hon, Y. C.
2012
Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation. Zbl 1352.65309
Dou, F. F.; Hon, Y. C.
2012
An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization. Zbl 1245.35144
Xiong, Xiangtuan; Zhou, Qian; Hon, Y. C.
2012
Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equations. Zbl 1251.35127
Hon, Y. C.; Fan, Engui
2012
Inverse heat conduction problems in three-dimensional anisotropic functionally graded solids. Zbl 1259.80011
2012
Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem. Zbl 1208.65141
Hon, Y. C.; Takeuchi, Tomoya
2011
Some evolution hierarchies derived from self-dual Yang-Mills equations. Zbl 1247.37075
Zhang, Yu-Feng; Hon, Y. C.
2011
A meshless method for solving nonhomogeneous Cauchy problems. Zbl 1259.65193
Li, Ming; Chen, C. S.; Hon, Y. C.
2011
Super quasiperiodic wave solutions and asymptotic analysis for $$\mathcal N=1$$ supersymmetric KdV-type equations. Zbl 1274.35326
Hon, Y. C.; Fan, Engui
2011
Meshless computation for partial differential equations of fractional order. Zbl 1244.76093
Wen, P. H.; Hon, Y. C.
2011
Inverse source identification by Green’s function. Zbl 1244.65162
Hon, Y. C.; Li, M.; Melnikov, Y. A.
2010
A meshless method based on RBFs method for nonhomogeneous backward heat conduction problem. Zbl 1244.80023
Li, Ming; Jiang, Tongsong; Hon, Y. C.
2010
On a direct procedure for the quasi-periodic wave solutions of the supersymmetric Ito’s equation. Zbl 1236.81114
Fan, E. G.; Hon, Y. C.
2010
Quasiperiodic wave solutions of $${\mathcal N}=2$$ supersymmetric KdV equation in superspace. Zbl 1202.81035
Fan, E. G.; Hon, Y. C.
2010
A systematic method for solving differential-difference equations. Zbl 1222.37082
Zhang, Yufeng; Hon, Y. C.; Mei, Jianqin
2010
A rational generalization of Fan’s method and its application to generalized shallow water wave equations. Zbl 1425.76195
Yang, Zonghang; Hon, Y. C.
2010
A discrepancy principle for the source points location in using the MFS for solving the BHCP. Zbl 1264.80031
Hon, Y. C.; Li, M.
2009
Meshless collocation method by delta-shaped basis functions for default barrier model. Zbl 1244.65154
Hon, Y. C.; Yang, Zonghang
2009
A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation. Zbl 1172.35480
Hon, Y. C.; Fan, E. G.
2009
The inverse problem of determining heat transfer coefficients by the meshless local Petrov-Galerkin method. Zbl 1231.65163
2009
Dynamic responses of shear flows over a deformable porous surface layer in a cylindrical tube. Zbl 1167.76332
Wen, P. H.; Hon, Y. C.; Wang, W.
2009
Inverse fracture problems in piezoelectric solids by local integral equation method. Zbl 1244.74123
2009
Quasi-periodic solutions for modified Toda lattice equation. Zbl 1197.37093
Hon, Y. C.; Fan, E. G.
2009
A computational method for inverse free boundary determination problem. Zbl 1158.80328
Hon, Y. C.; Li, M.
2008
A kind of explicit quasi-periodic solution and its limit for the Toda lattice equation. Zbl 1151.82320
Hon, Y. C.; Fan, Engui; Qin, Zhenyun
2008
Solvability of partial differential equations by meshless kernel methods. Zbl 1136.65111
Hon, Y. C.; Schaback, Robert
2008
Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Zbl 1195.65206
Wei, Ting; Hon, Y. C.; Ling, Leevan
2007
Geometrically nonlinear analysis of Reissner-Mindlin plate by meshless computation. Zbl 1232.74068
Wen, P. H.; Hon, Y. C.
2007
Numerical differentiation by radial basis functions approximation. Zbl 1138.65025
Wei, T.; Hon, Y. C.
2007
Hamiltonian structures of two integrable couplings of the modified AKNS hierarchy. Zbl 1141.37027
Zhang, Yufeng; Hon, Y. C.
2007
A generalized coth-function method for exact solution of differential-difference equation. Zbl 1153.35397
Yang, Zonghang; Hon, Y. C.
2007
Identification of source locations in two-dimensional heat equations. Zbl 1112.35147
Ling, Leevan; Yamamoto, Masahiro; Hon, Y. C.; Takeuchi, Tomoya
2006
Inverse heat conduction problems by meshless local Petrov-Galerkin method. Zbl 1195.80020
2006
A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems. Zbl 1110.74871
Liu, Y.; Hon, Y. C.; Liew, K. M.
2006
Reconstruction of high order derivatives from input data. Zbl 1115.65022
Wang, Y. B.; Hon, Y. C.; Cheng, J.
2006
An improved modified extended tanh-function method. Zbl 1186.35195
Yang, Zonghang; Hon, Benny Y. C.
2006
Reconstruction of numerical derivates from scattered noisy data. Zbl 1071.65026
Wei, T.; Hon, Y. C.; Wang, Y. B.
2005
Improved numerical solver for Kansa’s method based on affine space decomposition. Zbl 1182.65176
Ling, L.; Hon, Y. C.
2005
Inverse source identification for Poisson equation. Zbl 1194.65130
Ling, Leevan; Hon, Y. C.; Yamamoto, M.
2005
Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations. Zbl 1068.35156
Hon, Y. C.; Fan, Engui
2005
An algebro-geometric solution for a Hamiltonian system with application to dispersive long wave equation. Zbl 1076.37058
Hon, Y. C.; Fan, E. G.
2005
Numerical analysis of parameters in a laminated beam model by radial basis functions. Zbl 1160.74424
Hon, Y. C.; Ling, L.; Liew, K. M.
2005
A fundamental solution method for inverse heat conduction problem. Zbl 1073.80002
Hon, Y. C.; Wei, T.
2004
Domain decomposition for radial basis meshless methods. Zbl 1048.65124
Li, Jichun; Hon, Y. C.
2004
A series of new exact solutions for a complex coupled KdV system. Zbl 1068.35130
Hon, Y. C.; Fan, E. G.
2004
A grid-free, nonlinear shallow-water model with moving boundary. Zbl 1130.76405
Zhou, X.; Hon, Y. C.; Cheung, K. F.
2004
A numerical method for the discontinuous solutions of Abel integral equations. Zbl 1064.65153
Cheng, J.; Hon, Y. C.; Wang, Y. B.
2004
Solitary wave and doubly periodic wave solutions for the Kersten-Krasil’shchik coupled KdV-mKdV system. Zbl 1068.35131
Hon, Y. C.; Fan, E. G.
2004
Conditional stability for an inverse Neumann boundary problem. Zbl 1047.35131
Cheng, J.; Hon, Y. C.; Yamamoto, M.
2004
Overlapping domain decomposition method by radial basis functions. Zbl 1013.65134
Zhou, X.; Hon, Y. C.; Li, Jichun
2003
Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection-diffusion problems. Zbl 1050.76040
Chen, W.; Hon, Y. C.
2003
Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry. Zbl 1072.76048
Hon, Y. C.; Chen, W.
2003
Applications of extended tanh method to ‘special’ types of nonlinear equations. Zbl 1027.65128
Fan, Engui; Hon, Y. C.
2003
An adaptive greedy algorithm for solving large RBF collocation problems. Zbl 1019.65093
Hon, Y. C.; Schaback, R.; Zhou, X.
2003
A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves. Zbl 1031.76008
Fan, Enguiu; Hon, Y. C.
2003
Convergence error estimate in solving free boundary diffusion problem by radial basis functions method. Zbl 1040.91058
Wu, Zongmin; Hon, Y. C.
2003
Computation for multidimensional Cauchy problem. Zbl 1044.65074
Wei, T.; Hon, Y. C.; Cheng, J.
2003
Soliton solutions and doubly periodic wave solutions for a new generalized Hirota-Satsuma coupled system. Zbl 1038.35092
Hon, Y. C.; Fan, E. G.
2003
A meshless scheme for solving inverse problems of Laplace equation. Zbl 1037.65111
Hon, Y. C.; Wei, T.
2003
Numerical comparisons of two meshless methods using radial basis functions. Zbl 1003.65132
Li, Jichun; Hon, Y. C.; Chen, C. S.
2002
A quasi-radial basis functions method for American options pricing. Zbl 1073.91588
Hon, Y. C.
2002
Compactly supported radial basis functions for shallow water equations. Zbl 1126.76352
Wong, S. M.; Hon, Y. C.; Golberg, M. A.
2002
Double periodic solutions with Jacobi elliptic functions for two generalized Hirota-Satsuma coupled KdV systems. Zbl 1098.35559
Fan, Engui; Hon, Benny Y. C.
2002
Special issue: Radial basis functions and partial differential equations. Zbl 0993.00504
Kansa, Edward J. (ed.); Hon, Yiu-Chung (ed.)
2002
A meshless computational method for solving inverse heat conduction problem. Zbl 1011.65065
Hon, Y. C.; Wei, T.
2002
A meshless multilayer model for a coastal system by radial basis functions. Zbl 1073.86501
Wong, S. M.; Hon, Y. C.; Li, T. S.
2002
Numerical algorithm for triphasic model of charged and hydrated soft tissues. Zbl 1076.74570
Hon, Y. C.; Lu, M. W.; Xue, W. M.; Zhou, X.
2002
Threshold of global existence for 3-D attractive nonlinear Schrödinger equations under confined potentials. Zbl 1050.35103
Hon, Yiu-Chung; Zhang, Jian; Zhou, Xu
2002
An orthonormal basis functions method for moment problems. Zbl 1037.65133
Hon, Y. C.; Wei, T.
2002
On unsymmetric collocation by radial basis functions. Zbl 1026.65107
Hon, Y. C.; Schaback, R.
2001
Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation. Zbl 0980.35167
Hon, Y. C.; Wei, T.
2001
Numerical computation of a Cauchy problem for Laplace’s equation. Zbl 0999.65100
Cheng, J.; Hon, Y. C.; Wei, T.; Yamamoto, M.
2001
A new complex line soliton for the two-dimensional KdV-Burgers equation. Zbl 0979.35126
Fan, Engui; Zhang, Jian; Hon, Benny Y. C.
2001
...and 20 more Documents
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#### Cited by 1,941 Authors

 65 Hon, Yiu-Chung 48 Dehghan Takht Fooladi, Mehdi 36 Chen, Wen 34 Ling, Leevan 24 Fu, Chuli 24 Lesnic, Daniel 24 Liu, Chein-Shan 23 Zhang, Hongqing 20 Chen, Ching-Shyang 20 Wu, Zongmin 20 Xiong, Xiangtuan 18 Kansa, Edward J. 16 Wei, Ting 15 Schaback, Robert 15 Zhang, Yufeng 14 Fan, Chia-Ming 14 Fan, Engui 14 Ferreira, António Joaquim Mendes 14 Marin, Liviu 13 Lin, Ji 13 Tian, Shoufu 13 Wen, Pihua H. 12 Chen, Yong 12 Fu, Zhuojia 12 Gu, Yan 12 Haq, Sirajul 12 Roque, C. M. C. 12 Siraj-ul-Islam 11 Abbaszadeh, Mostafa 11 Dou, Fangfang 11 Power, Henry 10 Abbasbandy, Saeid 10 Duan, Yong 10 Johansson, B. Tomas 10 Karageorghis, Andreas 10 Li, Jichun 10 Liu, Gui-Rong 10 Sladek, Jan 10 Sladek, Vladimir 10 Uddin, Marjan 10 Zhang, Tiantian 9 Parand, Kourosh 9 Rad, Jamal Amani 9 Reutskiy, Sergiy Yu 9 Shokri, Ali 9 Wang, Fajie 9 Wang, Lihua 9 Yamamoto, Masahiro 9 Yan, Liang 9 Yang, Fenglian 9 Young, Dennis L. 9 Zhao, Zhenyu 8 Chen, Jiun-Shyan 8 Divo, Eduardo A. 8 Feng, Xiaoli 8 Kassab, Alain J. 8 Nguyen Huy Tuan 8 Šarler, Božidar 8 Shirzadi, Ahmad 8 Young, Der-Liang 8 Zhang, Yunxin 7 Boyd, John Philip 7 Cavoretto, Roberto 7 Cheng, Hao 7 Cheng, Jin 7 De Rossi, Alessandra 7 Esmaeilbeigi, Mohsen 7 Fornberg, Bengt 7 Gao, Wenwu 7 Golbabai, Ahmad 7 Hu, Hsin-Yun 7 Larsson, Elisabeth 7 Mai-Duy, Nam 7 Qu, Wenzhen 7 Reeve, Thomas 7 Tan, Yongji 7 Zhang, Chuanzeng 6 Assari, Pouria 6 Cheng, Alexander H.-D. 6 Jin, Bangti 6 Li, Biao 6 Li, Guangyao 6 Ma, Yunjie 6 Mirzaei, Davoud 6 Natal Jorge, Renato Manuel 6 O’Regan, Donal 6 Qian, Ai-Lin 6 Sun, Linlin 6 Sun, Yao 6 Tran-Cong, Thanh 6 Wazwaz, Abdul-Majid Abdul-Rahman 6 Wen, Peihan 6 Wen, Pihua 6 Yang, Fan 6 Zhao, Zhonglong 5 Biswas, Anjan 5 Dereli, Yılmaz 5 Djidjeli, K. 5 Fasshauer, Gregory E. 5 Gepreel, Khaled A. ...and 1,841 more Authors
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#### Cited in 171 Serials

 313 Engineering Analysis with Boundary Elements 142 Applied Mathematics and Computation 91 Computers & Mathematics with Applications 56 Journal of Computational and Applied Mathematics 52 Applied Mathematical Modelling 50 Inverse Problems in Science and Engineering 30 Applied Numerical Mathematics 29 Journal of Computational Physics 26 International Journal for Numerical Methods in Engineering 25 Computational Mechanics 23 International Journal of Computer Mathematics 22 Computer Methods in Applied Mechanics and Engineering 20 Chaos, Solitons and Fractals 20 Communications in Nonlinear Science and Numerical Simulation 16 Applicable Analysis 16 Numerical Methods for Partial Differential Equations 16 International Journal of Computational Methods 15 Numerical Algorithms 14 Applied Mathematics Letters 14 Advances in Computational Mathematics 13 Mathematical Methods in the Applied Sciences 13 Journal of Applied Mathematics 12 Mathematical Problems in Engineering 11 Journal of Mathematical Analysis and Applications 11 Mathematics and Computers in Simulation 11 Journal of Scientific Computing 11 Advances in Difference Equations 10 Journal of Inverse and Ill-Posed Problems 10 Nonlinear Dynamics 10 Abstract and Applied Analysis 9 Journal of Mathematical Physics 9 International Journal of Numerical Methods for Heat & Fluid Flow 9 International Journal of Applied and Computational Mathematics 8 Computational and Applied Mathematics 8 European Journal of Mechanics. A. Solids 8 Boundary Value Problems 8 Advances in Mathematical Physics 7 Computer Physics Communications 7 International Journal of Heat and Mass Transfer 7 SIAM Journal on Scientific Computing 5 Acta Mechanica 5 Numerische Mathematik 5 Mathematical and Computer Modelling 5 Communications in Numerical Methods in Engineering 5 International Journal of Modern Physics C 5 Nonlinear Analysis. Real World Applications 4 Computers and Fluids 4 International Journal for Numerical Methods in Fluids 4 Reports on Mathematical Physics 4 Theoretical and Mathematical Physics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Studies in Applied Mathematics 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Advances in Numerical Analysis 4 International Journal of Differential Equations 3 International Journal of Modern Physics B 3 Journal of Engineering Mathematics 3 Physics Letters. A 3 Wave Motion 3 BIT 3 Calcolo 3 SIAM Journal on Numerical Analysis 3 Applied Mathematics and Mechanics. (English Edition) 3 Computational Mathematics and Mathematical Physics 3 Archive of Applied Mechanics 3 Applied Mathematics. Series B (English Edition) 3 Computational Geosciences 3 Iranian Journal of Science and Technology. Transaction A: Science 3 Complex Variables and Elliptic Equations 3 Inverse Problems and Imaging 3 International Journal for Computational Methods in Engineering Science and Mechanics 2 Modern Physics Letters B 2 International Journal of Solids and Structures 2 Inverse Problems 2 Journal of the Mechanics and Physics of Solids 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Complexity 2 Computational Mathematics and Modeling 2 Journal of Global Optimization 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Advances in Engineering Software 2 Numerical Linear Algebra with Applications 2 Journal of Difference Equations and Applications 2 Differential Equations and Dynamical Systems 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 2 Journal of Applied Mathematics and Computing 2 Waves in Random and Complex Media 2 Journal of Zhejiang University. Science A 2 Frontiers of Mathematics in China 2 International Journal for Numerical Methods in Biomedical Engineering 2 ISRN Mathematical Analysis 2 East Asian Journal on Applied Mathematics 2 Mathematics 2 Journal of Linear and Topological Algebra 2 Nonlinear Analysis. Theory, Methods & Applications 2 Computational Methods for Differential Equations 2 AMM. Applied Mathematics and Mechanics. (English Edition) ...and 71 more Serials
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#### Cited in 41 Fields

 986 Numerical analysis (65-XX) 647 Partial differential equations (35-XX) 183 Mechanics of deformable solids (74-XX) 158 Fluid mechanics (76-XX) 114 Classical thermodynamics, heat transfer (80-XX) 92 Dynamical systems and ergodic theory (37-XX) 63 Approximations and expansions (41-XX) 55 Ordinary differential equations (34-XX) 43 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Integral equations (45-XX) 22 Operator theory (47-XX) 21 Probability theory and stochastic processes (60-XX) 21 Computer science (68-XX) 20 Optics, electromagnetic theory (78-XX) 19 Quantum theory (81-XX) 19 Geophysics (86-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 11 Potential theory (31-XX) 10 Algebraic geometry (14-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Systems theory; control (93-XX) 9 Operations research, mathematical programming (90-XX) 8 Special functions (33-XX) 7 Real functions (26-XX) 7 Functional analysis (46-XX) 7 Information and communication theory, circuits (94-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Nonassociative rings and algebras (17-XX) 6 Integral transforms, operational calculus (44-XX) 6 Biology and other natural sciences (92-XX) 5 Statistics (62-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)