## Hon, Yiu-Chung

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 Author ID: hon.yiu-chung Published as: Hon, Y. C.; Hon, Yiu-Chung; Hon, Benny Y. C.; Hon, Benny; Hon, Yiu-chung; Hon, Yiu Chung; Hon, Y.-C. more...less Further Spellings: 韓耀宗 Homepage: http://www6.cityu.edu.hk/ma/people/profile/honb.htm
 Documents Indexed: 136 Publications since 1987 4 Contributions as Editor Co-Authors: 63 Co-Authors with 125 Joint Publications 2,092 Co-Co-Authors
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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 Sam, C. N. 3 Wang, Yanbo 3 Xue, Weimin 2 Korakianitis, Theodosios 2 Lee, June-Yub 2 Lei, Min 2 Liew, Kim Meow 2 Mei, Jianqin 2 Stoll, Martin 2 Takeuchi, Tomoya 2 Xu, Dinghua 2 Yang, Liu 2 Yu, Yue 2 Zhang, Jian 2 Zhong, Min 1 Armstrong, Cecil G. 1 Dong, Huanhe 1 Feng, Binlu 1 Hickernell, Fred J. 1 Isakov, Victor M. 1 Jiang, Tongsong 1 Krahulec, Slavomir 1 Liu, Gui-Rong 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 Wei, Song 1 Wong, Anita S. M. 1 Yun, Dong Fa 1 Yun, Dongfang 1 Zhao, Liping 1 Zhou, Qian
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### Serials

 28 Engineering Analysis with Boundary Elements 11 Applied Mathematics and Computation 10 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 International Journal of Computer Mathematics 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

 83 Numerical analysis (65-XX) 66 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 Statistical mechanics, structure of matter (82-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) 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 Optics, electromagnetic theory (78-XX) 2 Biology and other natural sciences (92-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 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

122 Publications have been cited 2,386 times in 1,566 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
Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation. Zbl 0980.35167
Hon, Y. C.; Wei, T.
2001
Overlapping domain decomposition method by radial basis functions. Zbl 1013.65134
Zhou, X.; Hon, Y. C.; Li, Jichun
2003
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
Identification of source locations in two-dimensional heat equations. Zbl 1112.35147
Ling, Leevan; Yamamoto, Masahiro; Hon, Y. C.; Takeuchi, Tomoya
2006
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
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
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
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
Inverse heat conduction problems by meshless local Petrov-Galerkin method. Zbl 1195.80020
2006
A quasi-interpolation method for solving stiff ordinary differential equations. Zbl 0962.65060
Hon, Y. C.; Wu, Zongmin
2000
Compactly supported radial basis functions for shallow water equations. Zbl 1126.76352
Wong, S. M.; Hon, Y. C.; Golberg, M. A.
2002
A computational method for inverse free boundary determination problem. Zbl 1158.80328
Hon, Y. C.; Li, M.
2008
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
Applications of extended tanh method to ‘special’ types of nonlinear equations. Zbl 1027.65128
Fan, Engui; Hon, Y. C.
2003
A multiquadric interpolation method for solving initial value problems. Zbl 0907.65062
Hon, Y. C.; Mao, X. Z.
1997
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
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
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
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
A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems. Zbl 1110.74871
Liu, Y.; Hon, Y. C.; Liew, K. M.
2006
Improved numerical solver for Kansa’s method based on affine space decomposition. Zbl 1182.65176
Ling, L.; Hon, Y. C.
2005
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
Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation. Zbl 1352.65309
Dou, F. F.; Hon, Y. C.
2012
A new complex line soliton for the two-dimensional KdV-Burgers equation. Zbl 0979.35126
Fan, Engui; Zhang, Jian; Hon, Benny Y. C.
2001
Inverse source identification for Poisson equation. Zbl 1194.65130
Ling, Leevan; Hon, Y. C.; Yamamoto, M.
2005
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
A constructive solution for a generalized Thomas-Fermi theory of ionized atoms. Zbl 0639.34021
Chan, C. Y.; Hon, Y. C.
1987
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
Finite integration method for partial differential equations. Zbl 1427.65308
Wen, P. H.; Hon, Y. C.; Li, M.; Korakianitis, T.
2013
Improved localized radial basis function collocation method for multi-dimensional convection-dominated problems. Zbl 1403.65106
Yun, Dong Fa; Hon, Y. C.
2016
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
Discretized Tikhonov regularization by reproducing kernel Hilbert space for backward heat conduction problem. Zbl 1208.65141
Hon, Y. C.; Takeuchi, Tomoya
2011
Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations. Zbl 1068.35156
Hon, Y. C.; Fan, Engui
2005
Solvability of partial differential equations by meshless kernel methods. Zbl 1136.65111
Hon, Y. C.; Schaback, Robert
2008
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
Numerical differentiation by radial basis functions approximation. Zbl 1138.65025
Wei, T.; Hon, Y. C.
2007
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
Radial basis function approximations as smoothing splines. Zbl 0927.41008
Hickernell, Fred J.; Hon, Y. C.
1999
Geometrically nonlinear analysis of Reissner-Mindlin plate by meshless computation. Zbl 1232.74068
Wen, P. H.; 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
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
Computation for multidimensional Cauchy problem. Zbl 1044.65074
Wei, T.; Hon, Y. C.; Cheng, J.
2003
A decomposition method for the Thomas-Fermi equation. Zbl 0858.34017
Hon, Y. C.
1996
A numerical method for the discontinuous solutions of Abel integral equations. Zbl 1064.65153
Cheng, J.; Hon, Y. C.; Wang, Y. B.
2004
Quasiperiodic wave solutions of $${\mathcal N}=2$$ supersymmetric KdV equation in superspace. Zbl 1202.81035
Fan, E. G.; Hon, Y. C.
2010
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
A meshless method for solving nonhomogeneous Cauchy problems. Zbl 1259.65193
Li, Ming; Chen, C. S.; Hon, Y. C.
2011
Reconstruction of high order derivatives from input data. Zbl 1115.65022
Wang, Y. B.; Hon, Y. C.; Cheng, J.
2006
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
Meshless collocation method by delta-shaped basis functions for default barrier model. Zbl 1244.65154
Hon, Y. C.; Yang, Zonghang
2009
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
Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equations. Zbl 1251.35127
Hon, Y. C.; Fan, Engui
2012
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
Special issue: Radial basis functions and partial differential equations. Zbl 0993.00504
2002
Meshless analyses for time-fractional heat diffusion in functionally graded materials. Zbl 1403.74305
2016
Stability in line unique continuation of harmonic functions: General dimensions. Zbl 0914.31002
Cheng, J.; Hon, Y. C.; Yamamoto, M.
1998
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
The inverse problem of determining heat transfer coefficients by the meshless local Petrov-Galerkin method. Zbl 1231.65163
2009
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
Finite integration method with radial basis function for solving stiff problems. Zbl 1402.65051
Li, Y.; Hon, Y. C.
2017
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
An optimal control method for nonlinear inverse diffusion coefficient problem. Zbl 1301.49094
Deng, Zui-Cha; Hon, Y.-C.; Yang, Liu
2014
Computational methods for generalized Thomas-Fermi models of neutral atoms. Zbl 0674.34023
Chan, C. Y.; Hon, Y. C.
1988
A meshless computational method for solving inverse heat conduction problem. Zbl 1011.65065
Hon, Y. C.; Wei, T.
2002
Hamiltonian structures of two integrable couplings of the modified AKNS hierarchy. Zbl 1141.37027
Zhang, Yufeng; Hon, Y. C.
2007
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
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
The meshless kernel-based method of lines for parabolic equations. Zbl 1369.65109
Hon, Y. C.; Schaback, R.; Zhong, M.
2014
Fundamental kernel-based method for backward space-time fractional diffusion problem. Zbl 1443.65174
Dou, F. F.; Hon, Y. C.
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
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
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
Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain. Zbl 1308.65161
Xiong, X. T.; Hon, Y. C.
2013
Simultaneous identification of unknown initial temperature and heat source. Zbl 1362.35337
Yang, Liu; Deng, Zui-Cha; Hon, Yiu-Chung
2016
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
A meshless scheme for solving inverse problems of Laplace equation. Zbl 1037.65111
Hon, Y. C.; Wei, T.
2003
Inverse heat conduction problems in three-dimensional anisotropic functionally graded solids. Zbl 1259.80011
2012
Numerical solution of two-dimensional radially symmetric inverse heat conduction problem. Zbl 06425416
Qian, Zhi; Hon, Benny Y. C.; Xiong, Xiang Tuan
2015
Meshless computation for partial differential equations of fractional order. Zbl 1244.76093
Wen, P. H.; Hon, Y. C.
2011
Generalized finite integration method for solving multi-dimensional partial differential equations. Zbl 1464.65280
Sam, C. N.; Hon, Y. C.
2019
An accurate and efficient numerical method for solving linear peridynamic models. Zbl 1481.65200
Zhao, Wei; 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
Numerical simulations of nonlocal phase-field and hyperbolic nonlocal phase-field models via localized radial basis functions-based pseudo-spectral method (LRBF-PSM). Zbl 1427.82029
Zhao, Wei; Hon, Y. C.; Stoll, Martin
2018
Finite integration method with radial basis function for solving stiff problems. Zbl 1402.65051
Li, Y.; Hon, Y. C.
2017
Improved localized radial basis function collocation method for multi-dimensional convection-dominated problems. Zbl 1403.65106
Yun, Dong Fa; Hon, Y. C.
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
Meshless analyses for time-fractional heat diffusion in functionally graded materials. Zbl 1403.74305
2016
Fundamental kernel-based method for backward space-time fractional diffusion problem. Zbl 1443.65174
Dou, F. F.; Hon, Y. C.
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
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
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
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
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
Multiscale support vector approach for solving ill-posed problems. Zbl 1331.65181
Zhong, Min; Hon, Yiu Chung; Lu, Shuai
2015
Direct meshless kernel techniques for time-dependent equations. Zbl 1339.65190
Hon, Y. C.; Schaback, R.
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
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
Kernel-based approximation for Cauchy problem of the time-fractional diffusion equation. Zbl 1352.65309
Dou, F. F.; 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
A meshless method for solving nonhomogeneous Cauchy problems. Zbl 1259.65193
Li, Ming; Chen, C. S.; Hon, Y. C.
2011
Some evolution hierarchies derived from self-dual Yang-Mills equations. Zbl 1247.37075
Zhang, Yu-Feng; Hon, Y. C.
2011
Meshless computation for partial differential equations of fractional order. Zbl 1244.76093
Wen, P. H.; 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
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 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 systematic method for solving differential-difference equations. Zbl 1222.37082
Zhang, Yufeng; Hon, Y. C.; Mei, Jianqin
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
Quasi-periodic solutions for modified Toda lattice equation. Zbl 1197.37093
Hon, Y. C.; Fan, E. G.
2009
Inverse fracture problems in piezoelectric solids by local integral equation method. Zbl 1244.74123
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
Numerical differentiation by radial basis functions approximation. Zbl 1138.65025
Wei, T.; Hon, Y. C.
2007
Geometrically nonlinear analysis of Reissner-Mindlin plate by meshless computation. Zbl 1232.74068
Wen, P. H.; 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
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
Applications of extended tanh method to ‘special’ types of nonlinear equations. Zbl 1027.65128
Fan, Engui; 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
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
A meshless computational method for solving inverse heat conduction problem. Zbl 1011.65065
Hon, Y. C.; Wei, T.
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
An orthonormal basis functions method for moment problems. Zbl 1037.65133
Hon, Y. C.; Wei, T.
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
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
...and 22 more Documents
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### Cited by 1,855 Authors

 67 Hon, Yiu-Chung 53 Dehghan Takht Fooladi, Mehdi 35 Ling, Leevan 33 Chen, Wen 29 Liu, Chein-Shan 25 Lesnic, Daniel 24 Fu, Chuli 23 Chen, Ching-Shyang 22 Xiong, Xiangtuan 20 Wu, Zongmin 18 Kansa, Edward J. 18 Wang, Fajie 18 Zhang, Hongqing 17 Fan, Chia-Ming 17 Schaback, Robert 16 Lin, Ji 15 Gu, Yan 15 Tian, Shoufu 15 Wei, Ting 15 Zhang, Yufeng 14 Fan, Engui 14 Ferreira, António Joaquim Mendes 14 Fu, Zhuojia 14 Karageorghis, Andreas 14 Marin, Liviu 13 Abbaszadeh, Mostafa 12 Haq, Sirajul 12 Roque, C. M. C. 12 Siraj-ul-Islam 11 Abbasbandy, Saeid 11 Dou, Fangfang 11 Johansson, B. Tomas 11 Power, Henry 11 Sladek, Jan 11 Sladek, Vladimir 11 Uddin, Marjan 11 Zhang, Tiantian 10 Chen, Yong 10 Duan, Yong 10 Li, Jichun 10 Liu, Gui-Rong 10 Rad, Jamal Amani 10 Wang, Lihua 9 Assari, Pouria 9 Feng, Xiaoli 9 Wen, Pihua H. 9 Yamamoto, Masahiro 9 Yan, Liang 9 Yang, Fenglian 9 Zhang, Chuanzeng 9 Zhao, Zhenyu 8 Cavoretto, Roberto 8 Chen, Jiun-Shyan 8 Cheng, Jin 8 Divo, Eduardo A. 8 Kassab, Alain J. 8 Nguyen Huy Tuan 8 Parand, Kourosh 8 Qu, Wenzhen 8 Šarler, Božidar 8 Shirzadi, Ahmad 8 Shokri, Ali 8 Zhang, Yunxin 7 Cheng, Hao 7 De Rossi, Alessandra 7 Esmaeilbeigi, Mohsen 7 Fornberg, Bengt 7 Gao, Wenwu 7 Golbabai, Ahmad 7 Larsson, Elisabeth 7 Mai-Duy, Nam 7 Mirzaei, Davoud 7 Qin, Qinghua 7 Reeve, Thomas 7 Tan, Yongji 7 Wazwaz, Abdul-Majid Abdul-Rahman 7 Yang, Fan 6 Boyd, John Philip 6 Cheng, Alexander H.-D. 6 Jin, Bangti 6 Kumar, Alpesh 6 Li, Guangyao 6 Liu, Songshu 6 Ma, Yunjie 6 Natal Jorge, Renato Manuel 6 O’Regan, Donal 6 Qian, Ai-Lin 6 Sun, Linlin 6 Sun, Yao 6 Tran-Cong, Thanh 6 Yao, Guangming 6 Zhao, Zhonglong 6 Zheng, Hui 5 Biswas, Anjan 5 Deng, Zhiliang 5 Dereli, Yılmaz 5 Djidjeli, K. 5 Fasshauer, Gregory E. 5 Gepreel, Khaled A. 5 Godinho, Luís M. C. ...and 1,755 more Authors
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### Cited in 191 Serials

 327 Engineering Analysis with Boundary Elements 143 Applied Mathematics and Computation 97 Computers & Mathematics with Applications 63 Inverse Problems in Science and Engineering 59 Journal of Computational and Applied Mathematics 55 Applied Mathematical Modelling 34 Journal of Computational Physics 30 Applied Numerical Mathematics 30 International Journal of Computer Mathematics 26 International Journal for Numerical Methods in Engineering 26 Computational Mechanics 24 Communications in Nonlinear Science and Numerical Simulation 23 Computer Methods in Applied Mechanics and Engineering 21 Chaos, Solitons and Fractals 18 Applicable Analysis 16 Numerical Methods for Partial Differential Equations 16 Numerical Algorithms 16 International Journal of Computational Methods 15 Applied Mathematics Letters 14 Advances in Computational Mathematics 13 Mathematical Methods in the Applied Sciences 13 Mathematics and Computers in Simulation 13 Computational and Applied Mathematics 13 Journal of Applied Mathematics 13 Advances in Applied Mathematics and Mechanics 12 Journal of Scientific Computing 12 Journal of Inverse and Ill-Posed Problems 12 Mathematical Problems in Engineering 12 Advances in Difference Equations 11 Journal of Mathematical Analysis and Applications 10 Nonlinear Dynamics 10 Abstract and Applied Analysis 10 Advances in Mathematical Physics 10 International Journal of Applied and Computational Mathematics 9 Journal of Mathematical Physics 9 International Journal of Numerical Methods for Heat & Fluid Flow 8 European Journal of Mechanics. A. Solids 8 Boundary Value Problems 7 Computer Physics Communications 7 International Journal of Heat and Mass Transfer 7 SIAM Journal on Scientific Computing 6 Acta Mechanica 6 AIMS Mathematics 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 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Computers and Fluids 4 International Journal for Numerical Methods in Fluids 4 Reports on Mathematical Physics 4 Theoretical and Mathematical Physics 4 Wave Motion 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Studies in Applied Mathematics 4 Communications in Computational Physics 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 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 Cybernetics and Systems Analysis 3 Applied Mathematics. Series B (English Edition) 3 Filomat 3 Computational Geosciences 3 Mathematical Modelling and Analysis 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 3 Journal of Mathematics 3 Computational Methods for Differential Equations 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 Physica A 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Complexity 2 Computational Mathematics and Modeling 2 Applications of Mathematics 2 Journal of Global Optimization 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 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 Differential Equations 2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 2 Journal of Applied Mathematics and Computing 2 Thai Journal of Mathematics ...and 91 more Serials
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### Cited in 41 Fields

 1,097 Numerical analysis (65-XX) 714 Partial differential equations (35-XX) 186 Mechanics of deformable solids (74-XX) 175 Fluid mechanics (76-XX) 113 Classical thermodynamics, heat transfer (80-XX) 96 Dynamical systems and ergodic theory (37-XX) 69 Approximations and expansions (41-XX) 54 Ordinary differential equations (34-XX) 49 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Integral equations (45-XX) 29 Operator theory (47-XX) 25 Probability theory and stochastic processes (60-XX) 23 Computer science (68-XX) 22 Geophysics (86-XX) 21 Optics, electromagnetic theory (78-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 18 Quantum theory (81-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Potential theory (31-XX) 13 Biology and other natural sciences (92-XX) 11 Real functions (26-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Systems theory; control (93-XX) 10 Algebraic geometry (14-XX) 10 Operations research, mathematical programming (90-XX) 8 Information and communication theory, circuits (94-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Special functions (33-XX) 7 Functional analysis (46-XX) 7 Statistics (62-XX) 6 Nonassociative rings and algebras (17-XX) 6 Integral transforms, operational calculus (44-XX) 3 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-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)