## Chen, Wen

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 Author ID: chen.wen Published as: Chen, Wen; Chen, W. External Links: ORCID · ResearchGate · dblp
 Documents Indexed: 235 Publications since 1996, including 3 Books 3 Contributions as Editor Biographic References: 1 Publication Co-Authors: 121 Co-Authors with 195 Joint Publications 5,048 Co-Co-Authors
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### Co-Authors

 8 single-authored 36 Fu, Zhuojia 25 Gu, Yan 21 Sun, Hongguang 18 Lin, Ji 16 Liang, Yingjie 13 Li, Junpu 13 Zhang, Chuanzeng 12 Qu, Wenzhen 10 Wang, Fajie 8 Chen, Ching-Shyang 8 Sun, Linlin 7 Pang, Guofei 7 Qin, Qinghua 7 Wei, Xing 6 Cheng, Alexander H.-D. 6 Khan, Hasib 5 Băleanu, Dumitru I. 5 Hua, Qingsong 5 Jiang, Xinrong 5 Li, Weiwei 5 Sze, Kam-Yim 5 Tanaka, Masataka 5 Wang, Fuzhang 4 Gao, Hongwei 4 Khan, Aziz 4 Shu, Chang 3 Avazzadeh, Zakieh 3 Bounaïm, A. 3 Cai, Wei 3 Chen, Yangquan 3 Hon, Yiu-Chung 3 Hong, Yongxing 3 Li, Xicheng 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 Gao, Tan 2 Hei, Xindong 2 Hosseini, Vahid Reza 2 Hu, Dongliang 2 Katehakis, Michael N. 2 Khan, Mushtaq Ahmad 2 Li, Tao 2 Li, Xudong 2 Ling, Leevan 2 Ma, Ji 2 Machado, José António Tenreiro 2 Magin, Richard Lloyd 2 Qiu, Lin 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 Gan, Rundong 1 Gao, Feifei 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, Shuai 1 Hu, Zhenhua 1 Jin, Bangti 1 Jin, Bingtao 1 Jin, Juening 1 Kanavetas, Odysseas 1 Kang, Wenbin ...and 92 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 Physica A 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 3 Communications in Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 Fractals 2 Mathematical Problems in Engineering 2 Discrete Dynamics in Nature and Society 2 Journal of Nonlinear and Convex Analysis 2 Journal of Applied Mathematics 2 Chinese Journal of Computational Mechanics 2 Mathematical Biosciences and Engineering 2 Journal of Applied Analysis and Computation 1 Modern Physics Letters B 1 Acta Mechanica 1 Analysis Mathematica 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 Science China. Information Sciences 1 International Journal for Numerical Methods in Biomedical Engineering 1 International Journal of Applied and Computational Mathematics 1 International Journal of Systems Science. Principles and Applications of Systems and Integration 1 Fractional Calculus in Applied Sciences and Engineering 1 SpringerBriefs in Applied Sciences and Technology
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### Fields

 145 Numerical analysis (65-XX) 69 Partial differential equations (35-XX) 43 Mechanics of deformable solids (74-XX) 28 Fluid mechanics (76-XX) 20 Real functions (26-XX) 17 Ordinary differential equations (34-XX) 11 Classical thermodynamics, heat transfer (80-XX) 10 Information and communication theory, circuits (94-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Biology and other natural sciences (92-XX) 5 Measure and integration (28-XX) 5 Approximations and expansions (41-XX) 5 Probability theory and stochastic processes (60-XX) 5 Computer science (68-XX) 5 Optics, electromagnetic theory (78-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral transforms, operational calculus (44-XX) 4 Statistics (62-XX) 3 Integral equations (45-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Geophysics (86-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 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

193 Publications have been cited 3,302 times in 1,599 Documents Cited by Year
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 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
Anomalous diffusion modeling by fractal and fractional derivatives. Zbl 1189.35355
Chen, Wen; Sun, Hongguang; Zhang, Xiaodi; Korošak, Dean
2010
Fractional diffusion equations by the Kansa method. Zbl 1189.35356
Chen, Wen; Ye, Linjuan; Sun, Hongguang
2010
Chen, Wen; Fu, Zhuo-Jia; Chen, C. S.
2014
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 method of fundamental solutions without fictitious boundary. Zbl 1244.65219
Chen, Wen; Wang, F. Z.
2010
Method of approximate particular solutions for constant- and variable-order fractional diffusion models. Zbl 1403.65087
Fu, Zhuo-Jia; Chen, Wen; Ling, Leevan
2015
Space-fractional advection-dispersion equations by the Kansa method. Zbl 1349.65522
Pang, Guofei; Chen, Wen; Fu, Zhuojia
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 investigation into regularization techniques for the method of fundamental solutions. Zbl 1210.65198
Lin, Ji; Chen, Wen; Wang, Fuzhang
2011
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
Finite difference schemes for variable-order time fractional diffusion equation. Zbl 1258.65079
Sun, Hongguang; Chen, Wen; Li, Changpin; Chen, Yangquan
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
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 speculative study of 2/3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures. Zbl 1146.37312
Chen, Wen
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
Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry. Zbl 1072.76048
Hon, Y. C.; Chen, W.
2003
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
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 variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures. Zbl 1312.76058
Chen, Wen; Zhang, Jianjun; Zhang, Jinyang
2013
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
New insights in boundary-only and domain-type RBF methods. Zbl 0954.65084
Chen, W.; Tanaka, M.
2000
Meshfree boundary particle method applied to Helmholtz problems. Zbl 1013.65128
Chen, W.
2002
A modified singular boundary method for three-dimensional high frequency acoustic wave problems. Zbl 1480.74151
Li, Junpu; Chen, Wen
2018
Singular boundary method for heat conduction problems with certain spatially varying conductivity. Zbl 1364.65217
Wei, Xing; Chen, Wen; Chen, Bin; Sun, Linlin
2015
Potential problems by singular boundary method satisfying moment condition. Zbl 1231.65245
Chen, Wen; Fu, Zhuojia; Wei, Xing
2009
Dual reciprocity BEM applied to transient elastodynamic problem with differential quadrature method in time. Zbl 1048.74050
Tanaka, Masataka; Chen, Wen
2001
Boundary knot method for heat conduction in nonlinear functionally graded material. Zbl 1259.80025
Fu, Zhuo-Jia; Chen, Wen; Qin, Qing-Hua
2011
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
The localized RBFs collocation methods for solving high dimensional PDEs. Zbl 1287.65115
Li, Ming; Chen, Wen; Chen, C. S.
2013
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 new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction. Zbl 1351.80001
Chen, Wen; Pang, Guofei
2016
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 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
Free vibration analysis of curvilinear quadrilateral plates by the differential quadrature method. Zbl 0999.74061
Shu, C.; Chen, W.; Du, H.
2000
Infinite domain potential problems by a new formulation of singular boundary method. Zbl 1349.65686
Gu, Yan; Chen, Wen
2013
Winkler plate bending problems by a truly boundary-only boundary particle method. Zbl 1259.74019
Fu, Zhuojia; Chen, Wen; Yang, Wei
2009
The structure of weighting coefficient matrices of harmonic differential quadrature and its applications. Zbl 0860.65012
Chen, Wen; Wang, X.; Zhong, T.
1996
New RBF collocation methods and kernel RBF with applications. Zbl 1016.65094
Chen, Wen
2002
Boundary knot method for Poisson equations. Zbl 1182.74250
Chen, W.; Shen, L. J.; Shen, Z. J.; Yuan, G. W.
2005
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
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
Boundary knot method based on geodesic distance for anisotropic problems. Zbl 1093.65116
Jin, Bangti; Chen, Wen
2006
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
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
Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with $$p$$-Laplacian operator. Zbl 1483.35320
Khan, Hasib; Li, Yongjin; Chen, Wen; Baleanu, Dumitru; Khan, Aziz
2017
Coupling dual reciprocity BEM and differential quadrature method for time-dependent diffusion problems. Zbl 0985.65122
Tanaka, M.; Chen, W.
2001
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
Multiscale statistical model of fully-developed turbulence particle accelerations. Zbl 1386.76089
Chen, Wen; Sun, Hongguang
2009
Singular boundary method for modified Helmholtz equations. Zbl 1297.65174
Chen, Wen; Zhang, Jin-Yang; Fu, Zhuo-Jia
2014
Boundary particle method for Cauchy inhomogeneous potential problems. Zbl 1242.65227
Fu, Zhuojia; Chen, Wen; Zhang, Chuanzeng
2012
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
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
Analytical evaluation of the origin intensity factor of time-dependent diffusion fundamental solution for a matrix-free singular boundary method formulation. Zbl 1480.65243
Wang, Fajie; Chen, Wen; Zhang, Chuanzeng; Lin, Ji
2017
Stability analysis and a numerical scheme for fractional Klein-Gordon equations. Zbl 1408.35213
Khan, Hasib; Khan, Aziz; Chen, Wen; Shah, Kamal
2019
A new radial basis function for Helmholtz problems. Zbl 1352.65568
Lin, J.; Chen, W.; Sze, K. Y.
2012
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
Structural derivative based on inverse Mittag-Leffler function for modeling ultraslow diffusion. Zbl 06663384
Chen, Wen; Liang, Yingjie; Hei, Xindong
2016
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
Fractional derivative anomalous diffusion equation modeling prime number distribution. Zbl 1391.11112
Chen, Wen; Liang, Yingjie; Hu, Shuai; Sun, Hongguang
2015
Singular boundary method: three regularization approaches and exteriorwave applications. Zbl 1357.65279
Fu, Zhuo-Jia; Chen, Wen; Chen, Jeng-Tzong; Qu, Wen-Zhen
2014
An intuitive study of fractional derivative modeling and fractional quantum in soft matter. Zbl 1229.74009
Chen, Wen
2008
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
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
Singular boundary method using time-dependent fundamental solution for transient diffusion problems. Zbl 1403.65056
Chen, Wen; Wang, Fajie
2016
Reducing the computational requirements of the differential quadrature method. Zbl 0868.65014
Chen, Wen; Yu, Yongxi; Wang, Xinwei
1996
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
An ACA accelerated MFS for potential problems. Zbl 1297.65198
Wei, Xing; Chen, Wen; Chen, Bin
2014
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
The study on the nonlinear computations of the DQ and DC methods. Zbl 0866.65080
Chen, Wen; Zhong, Tingxiu
1997
A local RBF collocation method for band structure computations of 2D solid/fluid and fluid/solid phononic crystals. Zbl 1378.74027
2017
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
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 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
A modified multilevel algorithm for large-scale scientific and engineering computing. Zbl 1442.65429
Li, Junpu; Chen, Wen; Qin, Qing-Hua; Fu, Zhuojia
2019
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
Simulation of elastic wave propagation in layered materials by the method of fundamental solutions. Zbl 1403.74309
Lin, Ji; Chen, Wen; Sun, Linlin
2015
Non-Euclidean distance fundamental solution of Hausdorff derivative partial differential equations. Zbl 1403.65252
Chen, Wen; Wang, Fajie; Zheng, Bin; Cai, Wei
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
Fractal derivative multi-scale model of fluid particle transverse accelerations in fully developed turbulence. Zbl 1386.76090
Sun, Hongguang; Chen, Wen
2009
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
A novel numerical method for infinite domain potential problems. Zbl 1196.65183
Chen, Wen; Fu, Zhuojia
2010
Regularized meshless method for nonhomogeneous problems. Zbl 1259.65200
Chen, Wen; Lin, Ji; Wang, Fuzhang
2011
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
Band gap calculations of photonic crystals by singular boundary method. Zbl 1421.65028
Li, Weiwei; Chen, Wen
2017
Local method of approximate particular solutions for two-dimensional unsteady Burgers’ equations. Zbl 1368.35239
Zhang, Xueying; Tian, Haiyan; Chen, Wen
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
Analytical study on the fractional anomalous diffusion in a half-plane. Zbl 1205.82108
Li, Xicheng; Chen, Wen
2010
Singular boundary method for inverse heat conduction problems in general anisotropic media. Zbl 1329.65284
Gu, Yan; Chen, Wen; Fu, Zhuo-Jia
2014
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
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
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
Numerical approximations for space-time fractional Burgers’ equations via a new semi-analytical method. Zbl 07362373
Safari, Farzaneh; Chen, Wen
2021
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
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 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
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
Stability analysis and a numerical scheme for fractional Klein-Gordon equations. Zbl 1408.35213
Khan, Hasib; Khan, Aziz; Chen, Wen; Shah, Kamal
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
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 the band structure for scalar waves in 2D phononic crystals by the singular boundary method. Zbl 1464.74291
Li, Weiwei; Chen, Wen
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
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
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
Three-dimensional transient heat conduction analysis by boundary knot method. Zbl 07316751
Fu, Zhuo-jia; Shi, Jin-hong; Chen, Wen; Yang, Li-wen
2019
From fractal to a generalized fractal: non-power-function structal metric. Zbl 1434.28026
Liang, Yingjie; Xu, Wei; Chen, Wen; Weberszpil, Jose
2019
Inverse Mittag-Leffler stability of structural derivative nonlinear dynamical systems. Zbl 1448.34113
Hu, D. L.; Chen, W.; Liang, Y. J.
2019
Numerical simulation of non-linear Schrödinger equations in arbitrary domain by the localized method of approximate particular solution. Zbl 1488.65504
Hong, Yongxing; Lu, Jun; Lin, Ji; Chen, Wen
2019
A dual-level method of fundamental solutions in conjunction with kernel-independent fast multipole method for large-scale isotropic heat conduction problems. Zbl 1488.65718
Li, Junpu; Fu, Zhuojia; Chen, Wen; Liu, Xiaoting
2019
A time-space Hausdorff derivative model for anomalous transport in porous media. Zbl 1434.76127
Liang, Yingjie; Su, Ninghu; Chen, Wen
2019
Hausdorff calculus. Applications to fractal systems. Zbl 1414.28002
Liang, Yingjie; Chen, Wen; Cai, Wei
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
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 fractal roughness model for the transport of fractional non-Newtonian fluid in microtubes. Zbl 1448.76015
Yang, Xu; Liang, Yingjie; 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 1480.74151
Li, Junpu; Chen, Wen
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
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
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
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
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 space fractional constitutive equation model for non-Newtonian fluid flow. Zbl 1470.76019
Sun, HongGuang; Zhang, Yong; Wei, Song; Zhu, Jianting; Chen, Wen
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 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
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 typical backward substitution method for the simulation of Helmholtz problems in arbitrary 2D domains. Zbl 1403.65158
Hong, Yongxing; Lin, Ji; Chen, Wen
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
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
Singular boundary method based on time-dependent fundamental solutions for active noise control. Zbl 1407.76091
Li, Junpu; Chen, Wen
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
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
A regularized singular boundary method for inverse Cauchy problem in three-dimensional elastostatics. Zbl 1488.65590
Zhang, Aixia; Gu, Yan; Hua, Qingsong; Chen, Wen
2018
Fast multipole singular boundary method for Stokes flow problems. Zbl 1482.76085
Qu, Wenzhen; Chen, Wen; Fu, Zhuojia; Gu, Yan
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
A non-local structural derivative model for characterization of ultraslow diffusion in dense colloids. Zbl 07263231
Liang, Yingjie; Chen, Wen
2018
Feasibility study on the least square method for fitting non-Gaussian noise data. Zbl 07546948
Xu, Wei; Chen, Wen; Liang, Yingjie
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
Stretched exponential stability of nonlinear Hausdorff dynamical systems. Zbl 1390.37044
Chen, Wen; Hei, Xindong; Sun, Hongguang; Hu, Dongliang
2018
Regularized formulation of potential field gradients in singular boundary method. Zbl 1403.65222
Qu, Wenzhen; Chen, Wen
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
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
Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with $$p$$-Laplacian operator. Zbl 1483.35320
Khan, Hasib; Li, Yongjin; Chen, Wen; Baleanu, Dumitru; Khan, Aziz
2017
Analytical evaluation of the origin intensity factor of time-dependent diffusion fundamental solution for a matrix-free singular boundary method formulation. Zbl 1480.65243
Wang, Fajie; Chen, Wen; Zhang, Chuanzeng; Lin, Ji
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
Band gap calculations of photonic crystals by singular boundary method. Zbl 1421.65028
Li, Weiwei; Chen, Wen
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
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
Inequalities for new class of fractional integral operators. Zbl 1412.26036
Khan, Hasib; Sun, Hongguang; Chen, Wen; Baleanu, Dumitru
2017
Effects of surface tension on the nanoindentation with a conical indenter. Zbl 1394.74131
Long, Jianmin; Chen, Wen
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
Precorrected-FFT accelerated singular boundary method for large-scale three-dimensional potential problems. Zbl 1488.65691
Li, Weiwei; Chen, Wen; Fu, Zhuojia
2017
Evaluating the origin intensity factor in the singular boundary method for three-dimensional Dirichlet problems. Zbl 1488.65703
Sun, Linlin; Chen, Wen; Cheng, Alexander H.-D.
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
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 new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction. Zbl 1351.80001
Chen, Wen; Pang, Guofei
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
Structural derivative based on inverse Mittag-Leffler function for modeling ultraslow diffusion. Zbl 06663384
Chen, Wen; Liang, Yingjie; Hei, Xindong
2016
Singular boundary method using time-dependent fundamental solution for transient diffusion problems. Zbl 1403.65056
Chen, Wen; Wang, Fajie
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
The singular boundary method for two-dimensional static thermoelasticity analysis. Zbl 1368.74072
Chen, Bin; Chen, Wen; Cheng, Alexander H. D.; Wei, Xing
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
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
Singular boundary method using time-dependent fundamental solution for scalar wave equations. Zbl 1398.74457
Chen, Wen; Li, Junpu; 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
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
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
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
Singular boundary method for acoustic eigenanalysis. Zbl 1359.76202
Li, Weiwei; Chen, Wen; Pang, Guofei
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
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
Crack analysis by using the enriched singular boundary method. Zbl 1403.74086
Ma, Ji; Chen, Wen; Lin, Ji
2016
Numerical investigation on convergence rate of singular boundary method. Zbl 1400.65061
Li, Junpu; Chen, Wen; Fu, Zhuojia
2016
A new variational approach for restoring images with multiplicative noise. Zbl 1443.94032
Ullah, Asmat; Chen, Wen; Khan, Mushtaq Ahmad
2016
Singular boundary method for 2D dynamic poroelastic problems. Zbl 1468.76053
Sun, Linlin; Chen, Wen; Cheng, Alexander H.-D.
2016
Method of approximate particular solutions for constant- and variable-order fractional diffusion models. Zbl 1403.65087
Fu, Zhuo-Jia; Chen, Wen; Ling, Leevan
2015
Space-fractional advection-dispersion equations by the Kansa method. Zbl 1349.65522
Pang, Guofei; Chen, Wen; Fu, Zhuojia
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
Singular boundary method for heat conduction problems with certain spatially varying conductivity. Zbl 1364.65217
Wei, Xing; Chen, Wen; Chen, Bin; Sun, Linlin
2015
Fractional derivative anomalous diffusion equation modeling prime number distribution. Zbl 1391.11112
Chen, Wen; Liang, Yingjie; Hu, Shuai; Sun, Hongguang
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
Simulation of elastic wave propagation in layered materials by the method of fundamental solutions. Zbl 1403.74309
Lin, Ji; Chen, Wen; Sun, Linlin
2015
Singular boundary method for various exterior wave applications. Zbl 1360.65298
Fu, Zhuo-Jia; Chen, Wen; Lin, Ji; Cheng, Alexander H.-D.
2015
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