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## Chen, Wen

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 Author ID: chen.wen Published as: Chen, Wen; Chen, W. External Links: ORCID · ResearchGate · dblp
 Documents Indexed: 227 Publications since 1996, including 2 Books Biographic References: 1 Publication
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#### Co-Authors

 8 single-authored 35 Fu, Zhuojia 25 Gu, Yan 19 Sun, Hongguang 17 Lin, Ji 14 Liang, Yingjie 13 Li, Junpu 13 Zhang, Chuanzeng 12 Qu, Wenzhen 8 Chen, Ching-Shyang 8 Sun, Linlin 8 Wang, Fajie 7 Pang, Guofei 7 Qin, Qinghua 7 Wei, Xing 6 Cheng, Alexander H.-D. 6 Khan, Hasib 5 Băleanu, Dumitru I. 5 Jiang, Xinrong 5 Sze, Kam-Yim 5 Tanaka, Masataka 5 Wang, Fuzhang 4 Gao, Hongwei 4 Hua, Qingsong 4 Khan, Aziz 4 Li, Weiwei 4 Shu, Chang 3 Avazzadeh, Zakieh 3 Bounaïm, A. 3 Cai, Wei 3 Chen, Yangquan 3 Hon, Yiu-Chung 3 Hong, Yongxing 3 Liu, Chein-Shan 3 Ødegård, Å. 3 Wei, Hui 3 Wei, Song 3 Yang, Xu 3 Zhang, Jinyang 3 Zheng, Bin 3 Zhong, Tingxiu 2 Chen, Hua 2 Fan, Chia-Ming 2 Hei, Xindong 2 Hosseini, Vahid Reza 2 Jin, Bangti 2 Katehakis, Michael N. 2 Khan, Mushtaq Ahmad 2 Li, Xicheng 2 Ling, Leevan 2 Ma, Ji 2 Machado, José António Tenreiro 2 Magin, Richard Lloyd 2 Safari, Farzaneh 2 Shi, Jinhong 2 Song, Rencheng 2 Tian, Haiyan 2 Ullah, Asmat 2 Wang, Xinwei 2 Yao, Guangming 2 Zhang, Binwu 2 Zhang, Xueying 2 Zhang, Yaoming 1 Al-Madlal, Qasem M. 1 Cao, Haitao 1 Cao, Juan 1 Chang, AiLian 1 Chen, Dong 1 Chen, Fen 1 Chen, Jeng-Tzong 1 Chen, Jian 1 Chen, Kefei 1 Chen, Zhonggui 1 Colon-Perez, Luis 1 Deng, Yumin 1 Ding, Ming 1 Dong, Houqi 1 Dong, Ying 1 Fleischhacker, Adam J. 1 France, Stephen L. 1 Gao, Feifei 1 Gao, Tan 1 Garrard, Rhiannon M. 1 Gatto, Rodolfo G. 1 Guo, Jianzhi 1 He, Ji-Huan 1 He, Xiaoqiao 1 Heydari, Mohammad Hossien 1 Ho, Kwok-Pun 1 Htike, Htike 1 Hu, Dongliang 1 Hu, Shuai 1 Hu, Zhenhua 1 Jin, Juening 1 Kanavetas, Odysseas 1 Kang, W. B. 1 Karniadakis, George Em 1 Khan, Tahir Saeed 1 Kiryakova, Virginia S. 1 Korošak, Dean 1 Kuo, Leihsin ...and 82 more Co-Authors
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#### Serials

 46 Engineering Analysis with Boundary Elements 24 Computers & Mathematics with Applications 11 Advances in Applied Mathematics and Mechanics 8 Journal of Computational Physics 8 Communications in Nonlinear Science and Numerical Simulation 8 CMES. Computer Modeling in Engineering & Sciences 6 Computational Mechanics 6 Numerical Methods for Partial Differential Equations 6 Applied Mathematical Modelling 6 Fractional Calculus & Applied Analysis 5 Mathematics and Computers in Simulation 5 Inverse Problems in Science and Engineering 4 Computer Methods in Applied Mechanics and Engineering 4 International Journal for Numerical Methods in Engineering 4 IEEE Transactions on Signal Processing 3 Chaos, Solitons and Fractals 3 Chaos 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 International Journal of Computational Methods 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 Applied Mathematics and Computation 2 Fractals 2 Mathematical Problems in Engineering 2 Discrete Dynamics in Nature and Society 2 Journal of Applied Mathematics 2 Chinese Journal of Computational Mechanics 2 Mathematical Biosciences and Engineering 2 Communications in Computational Physics 2 Journal of Applied Analysis and Computation 1 Modern Physics Letters B 1 Acta Mechanica 1 Classical and Quantum Gravity 1 Discrete Applied Mathematics 1 IEEE Transactions on Information Theory 1 Journal of Sound and Vibration 1 Wave Motion 1 Journal of Computational and Applied Mathematics 1 Naval Research Logistics 1 Mathematics in Practice and Theory 1 Acta Mathematica Hungarica 1 Computer Aided Geometric Design 1 Applied Mathematics Letters 1 Signal Processing 1 Chinese Science Bulletin 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Communications in Numerical Methods in Engineering 1 Journal of Huazhong University of Science and Technology 1 Science in China. Series E 1 Journal of Vibration and Control 1 Nonlinear Dynamics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 Journal of Function Spaces and Applications 1 Advances in Difference Equations 1 CMC. Computers, Materials, and Continua 1 Boundary Value Problems 1 Advances in Data Analysis and Classification. ADAC 1 Journal of Physics A: Mathematical and Theoretical 1 Applied and Computational Mathematics 1 Journal of Nonlinear Science and Applications 1 International Journal for Numerical Methods in Biomedical Engineering 1 International Journal of Applied and Computational Mathematics 1 Fractional Calculus in Applied Sciences and Engineering 1 SpringerBriefs in Applied Sciences and Technology
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#### Fields

 141 Numerical analysis (65-XX) 65 Partial differential equations (35-XX) 41 Mechanics of deformable solids (74-XX) 27 Fluid mechanics (76-XX) 18 Real functions (26-XX) 18 Ordinary differential equations (34-XX) 10 Classical thermodynamics, heat transfer (80-XX) 10 Information and communication theory, circuits (94-XX) 6 General and overarching topics; collections (00-XX) 5 Measure and integration (28-XX) 5 Approximations and expansions (41-XX) 5 Computer science (68-XX) 5 Optics, electromagnetic theory (78-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 5 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral transforms, operational calculus (44-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Integral equations (45-XX) 3 Geophysics (86-XX) 2 Number theory (11-XX) 2 Operator theory (47-XX) 2 Systems theory; control (93-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

176 Publications have been cited 2,680 times in 1,336 Documents Cited by Year
A meshless, integration-free, and boundary-only RBF technique. Zbl 0999.65142
Chen, W.; Tanaka, M.
2002
Boundary particle method for Laplace transformed time fractional diffusion equations. Zbl 1291.76256
Fu, Zhuo-Jia; Chen, Wen; Yang, Hai-Tian
2013
Fractional diffusion equations by the Kansa method. Zbl 1189.35356
Chen, Wen; Ye, Linjuan; Sun, Hongguang
2010
Anomalous diffusion modeling by fractal and fractional derivatives. Zbl 1189.35355
Chen, Wen; Sun, Hongguang; Zhang, Xiaodi; Korošak, Dean
2010
Chen, Wen; Fu, Zhuo-Jia; Chen, C. S.
2014
A method of fundamental solutions without fictitious boundary. Zbl 1244.65219
Chen, Wen; Wang, F. Z.
2010
Space-fractional advection-dispersion equations by the Kansa method. Zbl 1349.65522
Pang, Guofei; Chen, Wen; Fu, Zhuojia
2015
Method of approximate particular solutions for constant- and variable-order fractional diffusion models. Zbl 1403.65087
Fu, Zhuo-Jia; Chen, Wen; Ling, Leevan
2015
Numerical solution of fractional telegraph equation by using radial basis functions. Zbl 1287.65085
Hosseini, Vahid Reza; Chen, Wen; Avazzadeh, Zakieh
2014
A new collection of real world applications of fractional calculus in science and engineering. Zbl 07265270
Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan
2018
A new investigation into regularization techniques for the method of fundamental solutions. Zbl 1210.65198
Lin, Ji; Chen, Wen; Wang, Fuzhang
2011
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
A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations. Zbl 1430.65009
Fu, Zhuo-Jia; Xi, Qiang; Chen, Wen; Cheng, Alexander H.-D.
2018
Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method. Zbl 1416.80006
Gu, Yan; He, Xiaoqiao; Chen, Wen; Zhang, Chuanzeng
2018
Finite difference schemes for variable-order time fractional diffusion equation. Zbl 1258.65079
Sun, Hongguang; Chen, Wen; Li, Changpin; Chen, Yangquan
2012
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 speculative study of 2/3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures. Zbl 1146.37312
Chen, Wen
2006
Symmetric boundary knot method. Zbl 1006.65500
Chen, W.
2002
A coupled method for inverse source problem of spatial fractional anomalous diffusion equations. Zbl 1204.65116
Wei, Hui; Chen, Wen; Sun, Hongguang; Li, Xicheng
2010
An improved formulation of singular boundary method. Zbl 1262.65157
Chen, Wen; Gu, Yan
2012
Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping. Zbl 1352.65348
Hosseini, Vahid Reza; Shivanian, Elyas; Chen, Wen
2016
A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications. Zbl 1428.34001
Sun, HongGuang; Chang, Ailian; Zhang, Yong; Chen, Wen
2019
A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures. Zbl 1312.76058
Chen, Wen; Zhang, Jianjun; Zhang, Jinyang
2013
Explicit empirical formula evaluating original intensity factors of singular boundary method for potential and Helmholtz problems. Zbl 1403.65204
Li, Junpu; Chen, Wen; Fu, Zhuojia; Sun, Linlin
2016
Meshfree boundary particle method applied to Helmholtz problems. Zbl 1013.65128
Chen, W.
2002
New insights in boundary-only and domain-type RBF methods. Zbl 0954.65084
Chen, W.; Tanaka, M.
2000
Singular boundary method for heat conduction problems with certain spatially varying conductivity. Zbl 1364.65217
Wei, Xing; Chen, Wen; Chen, Bin; Sun, Linlin
2015
Random-order fractional differential equation models. Zbl 1203.94056
Sun, HongGuang; Chen, YangQuan; Chen, Wen
2011
A simple accurate formula evaluating origin intensity factor in singular boundary method for two-dimensional potential problems with Dirichlet boundary. Zbl 1403.65263
Wei, Xing; Chen, Wen; Sun, Linlin; Chen, Bin
2015
Dual reciprocity BEM applied to transient elastodynamic problem with differential quadrature method in time. Zbl 1048.74050
Tanaka, Masataka; Chen, Wen
2001
Potential problems by singular boundary method satisfying moment condition. Zbl 1231.65245
Chen, Wen; Fu, Zhuojia; Wei, Xing
2009
Boundary knot method for heat conduction in nonlinear functionally graded material. Zbl 1259.80025
Fu, Zhuo-Jia; Chen, Wen; Qin, Qing-Hua
2011
The localized RBFs collocation methods for solving high dimensional PDEs. Zbl 1287.65115
Li, Ming; Chen, Wen; Chen, C. S.
2013
A meshless singular boundary method for three-dimensional elasticity problems. Zbl 1352.74039
Gu, Yan; Chen, Wen; Gao, Hongwei; Zhang, Chuanzeng
2016
Investigation on near-boundary solutions by singular boundary method. Zbl 1352.65587
Gu, Yan; Chen, Wen; Zhang, Jinyang
2012
A modified singular boundary method for three-dimensional high frequency acoustic wave problems. Zbl 07166586
Li, Junpu; Chen, Wen
2018
Free vibration analysis of curvilinear quadrilateral plates by the differential quadrature method. Zbl 0999.74061
Shu, C.; Chen, W.; Du, H.
2000
New RBF collocation methods and kernel RBF with applications. Zbl 1016.65094
Chen, Wen
2002
Winkler plate bending problems by a truly boundary-only boundary particle method. Zbl 1259.74019
Fu, Zhuojia; Chen, Wen; Yang, Wei
2009
A regularized approach evaluating the near-boundary and boundary solutions for three-dimensional Helmholtz equation with wideband wavenumbers. Zbl 1411.35084
Li, Junpu; Chen, Wen; Fu, Zhuojia; Qin, Qing-Hua
2019
A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy problems of steady heat conduction. Zbl 1403.80028
Wang, Fajie; Chen, Wen; Qu, Wenzhen; Gu, Yan
2016
Infinite domain potential problems by a new formulation of singular boundary method. Zbl 1349.65686
Gu, Yan; Chen, Wen
2013
A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction. Zbl 1351.80001
Chen, Wen; Pang, Guofei
2016
The structure of weighting coefficient matrices of harmonic differential quadrature and its applications. Zbl 0860.65012
Chen, Wen; Wang, X.; Zhong, T.
1996
Boundary knot method for Poisson equations. Zbl 1182.74250
Chen, W.; Shen, L. J.; Shen, Z. J.; Yuan, G. W.
2005
Error bounds of singular boundary method for potential problems. Zbl 1390.65156
Li, Junpu; Chen, Wen; Gu, Yan
2017
The sinh transformation for evaluating nearly singular boundary element integrals over high-order geometry elements. Zbl 1352.65586
Gu, Yan; Chen, Wen; Zhang, Chuanzeng
2013
Boundary knot method based on geodesic distance for anisotropic problems. Zbl 1093.65116
Jin, Bangti; Chen, Wen
2006
The comparison of three meshless methods using radial basis functions for solving fourth-order partial differential equations. Zbl 1267.65198
Yao, Guangming; Tsai, C. H.; Chen, Wen
2010
Coupling dual reciprocity BEM and differential quadrature method for time-dependent diffusion problems. Zbl 0985.65122
Tanaka, M.; Chen, W.
2001
A meshless generalized finite difference method for inverse Cauchy problems associated with three-dimensional inhomogeneous Helmholtz-type equations. Zbl 1403.65118
Hua, Qingsong; Gu, Yan; Qu, Wenzhen; Chen, Wen; Zhang, Chuanzeng
2017
A new radial basis function for Helmholtz problems. Zbl 1352.65568
Lin, J.; Chen, W.; Sze, K. Y.
2012
A truly boundary-only meshfree method for inhomogeneous problems based on recursive composite multiple reciprocity technique. Zbl 1244.65218
Chen, W.; Fu, Z. J.; Jin, B. T.
2010
An intuitive study of fractional derivative modeling and fractional quantum in soft matter. Zbl 1229.74009
Chen, Wen
2008
Boundary particle method for Cauchy inhomogeneous potential problems. Zbl 1242.65227
Fu, Zhuojia; Chen, Wen; Zhang, Chuanzeng
2012
Fractional derivative anomalous diffusion equation modeling prime number distribution. Zbl 1391.11112
Chen, Wen; Liang, Yingjie; Hu, Shuai; Sun, Hongguang
2015
Gauss-Jacobi-type quadrature rules for fractional directional integrals. Zbl 1350.65019
Pang, Guofei; Chen, Wen; Sze, K. Y.
2013
Investigation of regularized techniques for boundary knot method. Zbl 1208.65173
Wang, Fuzhang; Chen, Wen; Jiang, Xinrong
2010
Singular boundary method using time-dependent fundamental solution for transient diffusion problems. Zbl 1403.65056
Chen, Wen; Wang, Fajie
2016
An ACA accelerated MFS for potential problems. Zbl 1297.65198
Wei, Xing; Chen, Wen; Chen, Bin
2014
Singular boundary method for modified Helmholtz equations. Zbl 1297.65174
Chen, Wen; Zhang, Jin-Yang; Fu, Zhuo-Jia
2014
Structural derivative based on inverse Mittag-Leffler function for modeling ultraslow diffusion. Zbl 06663384
Chen, Wen; Liang, Yingjie; Hei, Xindong
2016
The sample solution approach for determination of the optimal shape parameter in the multiquadric function of the Kansa method. Zbl 1415.65264
Chen, Wen; Hong, Yongxing; Lin, Ji
2018
Reducing the computational requirements of the differential quadrature method. Zbl 0868.65014
Chen, Wen; Yu, Yongxi; Wang, Xinwei
1996
Multiscale statistical model of fully-developed turbulence particle accelerations. Zbl 1386.76089
Chen, Wen; Sun, Hongguang
2009
A semi-discrete finite element method for a class of time-fractional diffusion equations. Zbl 1339.65156
Sun, HongGuang; Chen, Wen; Sze, K. Y.
2013
Analysis of positive solution and Hyers-Ulam stability for a class of singular fractional differential equations with $$p$$-laplacian in Banach space. Zbl 1394.34017
Khan, Hasib; Chen, Wen; Sun, Hongguang
2018
A new formulation of regularized meshless method applied to interior and exterior anisotropic potential problems. Zbl 1426.65201
Sun, Linlin; Chen, Wen; Zhang, Chuanzeng
2013
Singular boundary method: three regularization approaches and exteriorwave applications. Zbl 1357.65279
Fu, Zhuo-Jia; Chen, Wen; Chen, Jeng-Tzong; Qu, Wen-Zhen
2014
Analytical evaluation of the origin intensity factor of time-dependent diffusion fundamental solution for a matrix-free singular boundary method formulation. Zbl 07163505
Wang, Fajie; Chen, Wen; Zhang, Chuanzeng; Lin, Ji
2017
A novel numerical method for infinite domain potential problems. Zbl 1196.65183
Chen, Wen; Fu, Zhuojia
2010
The singular boundary method: mathematical background and application in orthotropic elastic problems. Zbl 1297.74145
Gu, Yan; Chen, Wen; Fu, Zhuo-Jia; Zhang, Bo
2014
Band gap calculations of photonic crystals by singular boundary method. Zbl 1421.65028
Li, Weiwei; Chen, Wen
2017
Regularized meshless method for nonhomogeneous problems. Zbl 1259.65200
Chen, Wen; Lin, Ji; Wang, Fuzhang
2011
The study on the nonlinear computations of the DQ and DC methods. Zbl 0866.65080
Chen, Wen; Zhong, Tingxiu
1997
Analytical study on the fractional anomalous diffusion in a half-plane. Zbl 1205.82108
Li, Xicheng; Chen, Wen
2010
Simulation of elastic wave propagation in layered materials by the method of fundamental solutions. Zbl 1403.74309
Lin, Ji; Chen, Wen; Sun, Linlin
2015
Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media. Zbl 1403.76132
Li, Po-Wei; Chen, Wen; Fu, Zhuo-Jia; Fan, Chia-Ming
2018
A modified dual-level algorithm for large-scale three-dimensional Laplace and Helmholtz equation. Zbl 1459.65229
Li, Junpu; Chen, Wen; Fu, Zhuojia
2018
The method of fundamental solutions for solving exterior axisymmetric Helmholtz problems with high wave-number. Zbl 1279.35013
Chen, Wen; Lin, Ji; Chen, C. S.
2013
Numerical study of grid distribution effect on accuracy of DQ analysis of beams and plates by error estimation of derivative approximation. Zbl 1169.74657
Shu, Chang; Chen, W.; Xue, H.; Du, H.
2001
General solutions and fundamental solutions of varied orders to the vibrational thin, the Berger, and the Winkler plates. Zbl 1182.74059
Chen, Wen; Shen, Z. J.; Shen, L. J.; Yuan, G. W.
2005
Three boundary meshless methods for heat conduction analysis in nonlinear fgms with Kirchhoff and Laplace transformation. Zbl 1262.65137
Fu, Zhuojia; Chen, Wen; Qin, Qinghua
2012
Fast solution for solving the modified Helmholtz equation withthe method of fundamental solutions. Zbl 1388.65179
Chen, C. S.; Jiang, Xinrong; Chen, Wen; Yao, Guangming
2015
Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with $$p$$-Laplacian operator. Zbl 06806747
Khan, Hasib; Li, Yongjin; Chen, Wen; Baleanu, Dumitru; Khan, Aziz
2017
A typical backward substitution method for the simulation of Helmholtz problems in arbitrary 2D domains. Zbl 1403.65158
Hong, Yongxing; Lin, Ji; Chen, Wen
2018
Two general algorithms for nearly singular integrals in two dimensional anisotropic boundary element method. Zbl 1398.74047
Gu, Yan; Chen, Wen; Zhang, Bo; Qu, Wenzhen
2014
A local RBF collocation method for band structure computations of 2D solid/fluid and fluid/solid phononic crystals. Zbl 1378.74027
2017
A local radial basis function collocation method to solve the variable-order time fractional diffusion equation in a two-dimensional irregular domain. Zbl 1407.65231
Wei, Song; Chen, Wen; Zhang, Yong; Wei, Hui; Garrard, Rhiannon M.
2018
Local method of approximate particular solutions for two-dimensional unsteady Burgers’ equations. Zbl 1368.35239
Zhang, Xueying; Tian, Haiyan; Chen, Wen
2014
A study on time schemes for DRBEM analysis of elastic impact wave. Zbl 1076.74563
Chen, W.; Tanaka, M.
2002
On optimal selection of interior points for applying discretized boundary conditions in DQ vibration analysis of beams and plates. Zbl 1235.74372
Shu, C.; Chen, W.
1999
Combinations of the method of fundamental solutions for general inverse source identification problems. Zbl 1287.35103
Wang, Fuzhang; Chen, Wen; Ling, Leevan
2012
A modified dual-level fast multipole boundary element method based on the Burton-Miller formulation for large-scale three-dimensional sound field analysis. Zbl 1440.65262
Li, Junpu; Chen, Wen; Qin, Qinghua
2018
A modified multilevel algorithm for large-scale scientific and engineering computing. Zbl 1442.65429
Li, Junpu; Chen, Wen; Qin, Qing-Hua; Fu, Zhuojia
2019
Numerical investigation on the obliquely incident water wave passing through the submerged breakwater by singular boundary method. Zbl 1443.65406
Li, Junpu; Fu, Zhuojia; Chen, Wen
2016
A simple empirical formula of origin intensity factor in singular boundary method for two-dimensional Hausdorff derivative Laplace equations with Dirichlet boundary. Zbl 1425.35205
Wang, Fajie; Chen, Wen; Hua, Qingsong
2018
Non-Euclidean distance fundamental solution of Hausdorff derivative partial differential equations. Zbl 1403.65252
Chen, Wen; Wang, Fajie; Zheng, Bin; Cai, Wei
2017
Singular boundary method for various exterior wave applications. Zbl 1360.65298
Fu, Zhuo-Jia; Chen, Wen; Lin, Ji; Cheng, Alexander H.-D.
2015
Singular boundary method for inverse heat conduction problems in general anisotropic media. Zbl 1329.65284
Gu, Yan; Chen, Wen; Fu, Zhuo-Jia
2014
Meshless simulation of anti-plane crack problems by the method of fundamental solutions using the crack Green’s function. Zbl 1443.65430
Ma, Ji; Chen, Wen; Zhang, Chuanzeng; Lin, Ji
2020
A 2nd-order ADI finite difference method for a 2D fractional Black-Scholes equation governing European two asset option pricing. Zbl 07318021
Chen, Wen; Wang, Song
2020
A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications. Zbl 1428.34001
Sun, HongGuang; Chang, Ailian; Zhang, Yong; Chen, Wen
2019
A regularized approach evaluating the near-boundary and boundary solutions for three-dimensional Helmholtz equation with wideband wavenumbers. Zbl 1411.35084
Li, Junpu; Chen, Wen; Fu, Zhuojia; Qin, Qing-Hua
2019
A modified multilevel algorithm for large-scale scientific and engineering computing. Zbl 1442.65429
Li, Junpu; Chen, Wen; Qin, Qing-Hua; Fu, Zhuojia
2019
The generalized finite difference method for long-time dynamic modeling of three-dimensional coupled thermoelasticity problems. Zbl 1451.74215
Gu, Yan; Qu, Wenzhen; Chen, Wen; Song, Lina; Zhang, Chuanzeng
2019
Simulation of the band structure for scalar waves in 2D phononic crystals by the singular boundary method. Zbl 1464.74291
Li, Weiwei; Chen, Wen
2019
Stability analysis and a numerical scheme for fractional Klein-Gordon equations. Zbl 1408.35213
Khan, Hasib; Khan, Aziz; Chen, Wen; Shah, Kamal
2019
A regularized approach evaluating origin intensity factor of singular boundary method for Helmholtz equation with high wavenumbers. Zbl 1464.74288
Li, Junpu; Fu, Zhuojia; Chen, Wen; Qin, Qing-Hua
2019
Simulation of heat conduction problems in layered materials using the meshless singular boundary method. Zbl 1464.80040
Zheng, Bin; Lin, Ji; Chen, Wen
2019
Weighted mixed-norm inequality on Doob’s maximal operator and John-Nirenberg inequalities in Banach function spaces. Zbl 1438.60057
Chen, W.; Ho, K.-P-; Jiao, Y.; Zhou, D.
2019
Coupling of the improved singular boundary method and dual reciprocity method for multi-term time-fractional mixed diffusion-wave equations. Zbl 1442.65238
Safari, Farzaneh; Chen, Wen
2019
Distributed order Hausdorff derivative diffusion model to characterize non-Fickian diffusion in porous media. Zbl 1464.82017
Liang, Yingjie; Chen, Wen; Xu, Wei; Sun, HongGuang
2019
Inverse Mittag-Leffler stability of structural derivative nonlinear dynamical systems. Zbl 1448.34113
Hu, D. L.; Chen, W.; Liang, Y. J.
2019
Boundary function method for boundary identification in two-dimensional steady-state nonlinear heat conduction problems. Zbl 1464.80030
Qiu, Lin; Chen, Wen; Wang, Fajie; Liu, Chein-Shan; Hua, Qingsong
2019
Analytical and numerical study of Stokes flow problems for Hausdorff fluids. Zbl 07264558
Su, Xianglong; Xu, Wenxiang; Chen, Wen
2019
A new collection of real world applications of fractional calculus in science and engineering. Zbl 07265270
Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan
2018
A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations. Zbl 1430.65009
Fu, Zhuo-Jia; Xi, Qiang; Chen, Wen; Cheng, Alexander H.-D.
2018
Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method. Zbl 1416.80006
Gu, Yan; He, Xiaoqiao; Chen, Wen; Zhang, Chuanzeng
2018
A modified singular boundary method for three-dimensional high frequency acoustic wave problems. Zbl 07166586
Li, Junpu; Chen, Wen
2018
The sample solution approach for determination of the optimal shape parameter in the multiquadric function of the Kansa method. Zbl 1415.65264
Chen, Wen; Hong, Yongxing; Lin, Ji
2018
Analysis of positive solution and Hyers-Ulam stability for a class of singular fractional differential equations with $$p$$-laplacian in Banach space. Zbl 1394.34017
Khan, Hasib; Chen, Wen; Sun, Hongguang
2018
Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media. Zbl 1403.76132
Li, Po-Wei; Chen, Wen; Fu, Zhuo-Jia; Fan, Chia-Ming
2018
A modified dual-level algorithm for large-scale three-dimensional Laplace and Helmholtz equation. Zbl 1459.65229
Li, Junpu; Chen, Wen; Fu, Zhuojia
2018
A typical backward substitution method for the simulation of Helmholtz problems in arbitrary 2D domains. Zbl 1403.65158
Hong, Yongxing; Lin, Ji; Chen, Wen
2018
A local radial basis function collocation method to solve the variable-order time fractional diffusion equation in a two-dimensional irregular domain. Zbl 1407.65231
Wei, Song; Chen, Wen; Zhang, Yong; Wei, Hui; Garrard, Rhiannon M.
2018
A modified dual-level fast multipole boundary element method based on the Burton-Miller formulation for large-scale three-dimensional sound field analysis. Zbl 1440.65262
Li, Junpu; Chen, Wen; Qin, Qinghua
2018
A simple empirical formula of origin intensity factor in singular boundary method for two-dimensional Hausdorff derivative Laplace equations with Dirichlet boundary. Zbl 1425.35205
Wang, Fajie; Chen, Wen; Hua, Qingsong
2018
Singular boundary method based on time-dependent fundamental solutions for active noise control. Zbl 1407.76091
Li, Junpu; Chen, Wen
2018
Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials. Zbl 1403.74282
Wang, Yuanyuan; Gu, Yan; Fan, Chia-Ming; Chen, Wen; Zhang, Chuanzeng
2018
Distributed fault detection and isolation for leader-follower multi-agent systems with disturbances using observer techniques. Zbl 1398.34042
Quan, Yue; Chen, Wen; Wu, Zhihai; Peng, Li
2018
A space fractional constitutive equation model for non-Newtonian fluid flow. Zbl 1470.76019
Sun, HongGuang; Zhang, Yong; Wei, Song; Zhu, Jianting; Chen, Wen
2018
Application of the generalized finite difference method to three-dimensional transient electromagnetic problems. Zbl 1403.76131
Chen, Jian; Gu, Yan; Wang, Maohai; Chen, Wen; Liu, Lianguang
2018
Hyers-Ulam stability and existence criteria for coupled fractional differential equations involving $$p$$-Laplacian operator. Zbl 1448.34019
Khan, Hasib; Chen, Wen; Khan, Aziz; Khan, Tahir S.; Al-Madlal, Qasem M.
2018
Existence theorems and Hyers-Ulam stability for a class of hybrid fractional differential equations with $$p$$-Laplacian operator. Zbl 1461.34009
Khan, Hasib; Tunc, Cemil; Chen, Wen; Khan, Aziz
2018
3D DDA based on variational inequality theory and its solution scheme. Zbl 1404.74108
Jiang, W.; Zheng, H.; Sun, G. H.; Chen, W.; Song, P. C.
2018
Regularized formulation of potential field gradients in singular boundary method. Zbl 1403.65222
Qu, Wenzhen; Chen, Wen
2018
Characterization of elastic parameters for functionally graded material by a meshfree method combined with the NMS approach. Zbl 1388.74118
Chen, Bin; Chen, Wen; Wei, Xing
2018
A spatial fractional seepage model for the flow of non-Newtonian fluid in fractal porous medium. Zbl 07263833
Yang, Xu; Liang, Yingjie; Chen, Wen
2018
Fast multipole singular boundary method for Stokes flow problems. Zbl 07316181
Qu, Wenzhen; Chen, Wen; Fu, Zhuojia; Gu, Yan
2018
Error bounds of singular boundary method for potential problems. Zbl 1390.65156
Li, Junpu; Chen, Wen; Gu, Yan
2017
A meshless generalized finite difference method for inverse Cauchy problems associated with three-dimensional inhomogeneous Helmholtz-type equations. Zbl 1403.65118
Hua, Qingsong; Gu, Yan; Qu, Wenzhen; Chen, Wen; Zhang, Chuanzeng
2017
Analytical evaluation of the origin intensity factor of time-dependent diffusion fundamental solution for a matrix-free singular boundary method formulation. Zbl 07163505
Wang, Fajie; Chen, Wen; Zhang, Chuanzeng; Lin, Ji
2017
Band gap calculations of photonic crystals by singular boundary method. Zbl 1421.65028
Li, Weiwei; Chen, Wen
2017
Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with $$p$$-Laplacian operator. Zbl 06806747
Khan, Hasib; Li, Yongjin; Chen, Wen; Baleanu, Dumitru; Khan, Aziz
2017
A local RBF collocation method for band structure computations of 2D solid/fluid and fluid/solid phononic crystals. Zbl 1378.74027
2017
Non-Euclidean distance fundamental solution of Hausdorff derivative partial differential equations. Zbl 1403.65252
Chen, Wen; Wang, Fajie; Zheng, Bin; Cai, Wei
2017
A general algorithm for evaluating nearly strong-singular (and beyond) integrals in three-dimensional boundary element analysis. Zbl 1398.65325
Gu, Yan; Gao, Hongwei; Chen, Wen; Wang, Huijuan; Zhang, Chuanzeng
2017
A power penalty method for a 2D fractional partial differential linear complementarity problem governing two-asset American option pricing. Zbl 1411.91617
Chen, Wen; Wang, Song
2017
Effects of surface tension on the nanoindentation with a conical indenter. Zbl 1394.74131
Long, Jianmin; Chen, Wen
2017
An efficient variational method for restoring images with combined additive and multiplicative noise. Zbl 1397.94012
Ullah, Asmat; Chen, Wen; Khan, Mushtaq Ahmad; Sun, HongGuang
2017
A novel Trefftz method of the inverse Cauchy problem for 3D modified Helmholtz equation. Zbl 1398.65276
Liu, Chein-Shan; Qu, Wenzhen; Chen, Wen; Lin, Ji
2017
Vertical distribution of suspended sediment under steady flow: existing theories and fractional derivative model. Zbl 1370.76183
Nie, Shiqian; Sun, HongGuang; Zhang, Yong; Chen, Dong; Chen, Wen; Chen, Li; Schaefer, Sydney
2017
Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes. Zbl 1412.65091
Song, Fangying; Zeng, Fanhai; Cai, Wei; Chen, Wen; Karniadakis, George Em
2017
Inequalities for new class of fractional integral operators. Zbl 1412.26036
Khan, Hasib; Sun, Hongguang; Chen, Wen; Baleanu, Dumitru
2017
Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping. Zbl 1352.65348
Hosseini, Vahid Reza; Shivanian, Elyas; Chen, Wen
2016
Explicit empirical formula evaluating original intensity factors of singular boundary method for potential and Helmholtz problems. Zbl 1403.65204
Li, Junpu; Chen, Wen; Fu, Zhuojia; Sun, Linlin
2016
A meshless singular boundary method for three-dimensional elasticity problems. Zbl 1352.74039
Gu, Yan; Chen, Wen; Gao, Hongwei; Zhang, Chuanzeng
2016
A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy problems of steady heat conduction. Zbl 1403.80028
Wang, Fajie; Chen, Wen; Qu, Wenzhen; Gu, Yan
2016
A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction. Zbl 1351.80001
Chen, Wen; Pang, Guofei
2016
Singular boundary method using time-dependent fundamental solution for transient diffusion problems. Zbl 1403.65056
Chen, Wen; Wang, Fajie
2016
Structural derivative based on inverse Mittag-Leffler function for modeling ultraslow diffusion. Zbl 06663384
Chen, Wen; Liang, Yingjie; Hei, Xindong
2016
Numerical investigation on the obliquely incident water wave passing through the submerged breakwater by singular boundary method. Zbl 1443.65406
Li, Junpu; Fu, Zhuojia; Chen, Wen
2016
A multiple-scale MQ-RBF for solving the inverse Cauchy problems in arbitrary plane domain. Zbl 1403.65116
Liu, Chein-Shan; Chen, Wen; Fu, Zhuojia
2016
Average source boundary node method for potential problems. Zbl 1403.65243
Zhang, Yao-Ming; Sun, Fang-Ling; Young, Der-Liang; Chen, Wen; Gu, Yan
2016
Singular boundary method using time-dependent fundamental solution for scalar wave equations. Zbl 1398.74457
Chen, Wen; Li, Junpu; Fu, Zhuojia
2016
One-step boundary knot method for discontinuous coefficient elliptic equations with interface jump conditions. Zbl 1354.65260
Sun, Linlin; Chen, Wen; Cheng, Alexander H.-D.
2016
The singular boundary method for two-dimensional static thermoelasticity analysis. Zbl 1368.74072
Chen, Bin; Chen, Wen; Cheng, Alexander H. D.; Wei, Xing
2016
Connecting complexity with spectral entropy using the Laplace transformed solution to the fractional diffusion equation. Zbl 1400.82135
Liang, Yingjie; Chen, Wen; Magin, Richard L.
2016
A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis. Zbl 1439.65209
Gu, Yan; Gao, Hongwei; Chen, Wen; Zhang, Chuanzeng
2016
Singular boundary method for acoustic eigenanalysis. Zbl 1359.76202
Li, Weiwei; Chen, Wen; Pang, Guofei
2016
Crack analysis by using the enriched singular boundary method. Zbl 1403.74086
Ma, Ji; Chen, Wen; Lin, Ji
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
An extended exponential transformation for evaluating nearly singular integrals in general anisotropic boundary element method. Zbl 1403.74176
Gu, Yan; Dong, Houqi; Gao, Hongwei; Chen, Wen; Zhang, Yaoming
2016
Numerical investigation on convergence rate of singular boundary method. Zbl 1400.65061
Li, Junpu; Chen, Wen; Fu, Zhuojia
2016
Singular boundary method for 2D dynamic poroelastic problems. Zbl 1468.76053
Sun, Linlin; Chen, Wen; Cheng, Alexander H.-D.
2016
A fractal derivative model for the characterization of anomalous diffusion in magnetic resonance imaging. Zbl 07249785
Liang, Yingjie; Ye, Allen Q.; Chen, Wen; Gatto, Rodolfo G.; Colon-Perez, Luis; Mareci, Thomas H.; Magin, Richard L.
2016
Space-fractional advection-dispersion equations by the Kansa method. Zbl 1349.65522
Pang, Guofei; Chen, Wen; Fu, Zhuojia
2015
Method of approximate particular solutions for constant- and variable-order fractional diffusion models. Zbl 1403.65087
Fu, Zhuo-Jia; Chen, Wen; Ling, Leevan
2015
Singular boundary method for heat conduction problems with certain spatially varying conductivity. Zbl 1364.65217
Wei, Xing; Chen, Wen; Chen, Bin; Sun, Linlin
2015
A simple accurate formula evaluating origin intensity factor in singular boundary method for two-dimensional potential problems with Dirichlet boundary. Zbl 1403.65263
Wei, Xing; Chen, Wen; Sun, Linlin; Chen, Bin
2015
Fractional derivative anomalous diffusion equation modeling prime number distribution. Zbl 1391.11112
Chen, Wen; Liang, Yingjie; Hu, Shuai; Sun, Hongguang
2015
Simulation of elastic wave propagation in layered materials by the method of fundamental solutions. Zbl 1403.74309
Lin, Ji; Chen, Wen; Sun, Linlin
2015
Fast solution for solving the modified Helmholtz equation withthe method of fundamental solutions. Zbl 1388.65179
Chen, C. S.; Jiang, Xinrong; Chen, Wen; Yao, Guangming
2015
Singular boundary method for various exterior wave applications. Zbl 1360.65298
Fu, Zhuo-Jia; Chen, Wen; Lin, Ji; Cheng, Alexander H.-D.
2015
Stress analysis for two-dimensional thin structural problems using the meshless singular boundary method. Zbl 1403.74057
Gu, Yan; Chen, Wen; Zhang, Bo
2015
Solutions of 2D and 3D non-homogeneous potential problems by using a boundary element-collocation method. Zbl 1403.65223
Qu, Wenzhen; Chen, Wen; Fu, Zhuojia
2015
Fast multipole accelerated singular boundary method for the 3D Helmholtz equation in low frequency regime. Zbl 1443.65411
Qu, Wenzhen; Chen, Wen; Gu, Yan
2015
Symmetric singular boundary method for potential problems with mixed boundary conditions. Zbl 1403.65219
Pang, Guofei; Chen, Wen
2015
Interlaminar stresses in piezoelectric laminated composite shells under electric, thermal and mechanical loads. Zbl 1406.74474
Kang, W. B.; Li, Y. D.; Chen, W.; Wang, X.; Fang, C. Q.
2015
Chen, Wen; Fu, Zhuo-Jia; Chen, C. S.
2014
Numerical solution of fractional telegraph equation by using radial basis functions. Zbl 1287.65085
Hosseini, Vahid Reza; Chen, Wen; Avazzadeh, Zakieh
2014
An ACA accelerated MFS for potential problems. Zbl 1297.65198
Wei, Xing; Chen, Wen; Chen, Bin
2014
Singular boundary method for modified Helmholtz equations. Zbl 1297.65174
Chen, Wen; Zhang, Jin-Yang; Fu, Zhuo-Jia
2014
Singular boundary method: three regularization approaches and exteriorwave applications. Zbl 1357.65279
Fu, Zhuo-Jia; Chen, Wen; Chen, Jeng-Tzong; Qu, Wen-Zhen
2014
The singular boundary method: mathematical background and application in orthotropic elastic problems. Zbl 1297.74145
Gu, Yan; Chen, Wen; Fu, Zhuo-Jia; Zhang, Bo
2014
Two general algorithms for nearly singular integrals in two dimensional anisotropic boundary element method. Zbl 1398.74047
Gu, Yan; Chen, Wen; Zhang, Bo; Qu, Wenzhen
2014
Local method of approximate particular solutions for two-dimensional unsteady Burgers’ equations. Zbl 1368.35239
Zhang, Xueying; Tian, Haiyan; Chen, Wen
2014
Singular boundary method for inverse heat conduction problems in general anisotropic media. Zbl 1329.65284
Gu, Yan; Chen, Wen; Fu, Zhuo-Jia
2014
Smooth solution of partial integro-differential equations using radial basis functions. Zbl 1297.35260
Avazzadeh, Z.; Heydari, M.; Chen, W.; Loghmani, G. B.
2014
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