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Fourth-order numerical method for the space time tempered fractional diffusion-wave equation 期刊论文
APPLIED MATHEMATICS LETTERS, 2017, 卷号: 73, 期号: 11, 页码: 120-127
Authors:  Dehghan, M;  Abbaszadeh, M;  Deng, WH(邓伟华);  Dehghan, M (reprint author), Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, 424 Hafex Ave, Tehran 15914, Iran.
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Finite difference method  Space time tempered fractional  diffusion-wave equation  Integro-differential equation  Unconditional stability  Convergence  
Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 22, 期号: 1, 页码: 202-227
Authors:  Wang, SQ;  Deng, WH(邓伟华);  Yuan, JY;  Wu, YJ(伍渝江);  Deng, WH (reprint author), Lanzhou Univ, Sch Math & Stat, Gansu Key Lab Appl Math & Complex Syst, Lanzhou 730000, Peoples R China.
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Navier-Stokes equations  local discontinuous Galerkin method  symmetric variational formulation  
A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation 期刊论文
APPLIED MATHEMATICS LETTERS, 2017, 卷号: 68, 期号: 2, 页码: 87-93
Authors:  Chen, MH;  Deng, WH(邓伟华);  Chen, MH (reprint author), Lanzhou Univ, Gansu Key Lab Appl Math & Complex Syst, Sch Math & Stat, Lanzhou 730000, Peoples R China.
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Space-time tempered fractional  diffusion-wave equation  Integro-differential equation  Numerical stability and convergence  
A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2017, 卷号: 9, 期号: 1-2, 页码: 282-306
Authors:  Li, C;  Deng, WH(邓伟华);  Deng, WH (reprint author), Lanzhou Univ, Sch Math & Stat, Gansu Key Lab Appl Math & Complex Syst, Lanzhou 730000, Gansu, Peoples R China.
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Riemann-Liouville fractional derivative  WSGD operator  fractional advection diffusion equation  finite difference approximation  stability  
Numerical schemes of the time tempered fractional Feynman-Kac equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 73, 期号: 6, 页码: 1063-1076
Authors:  Deng, WH(邓伟华);  Zhang, ZJ;  Zhang, ZJ (reprint author), Lanzhou Univ, Sch Math & Stat, Gansu Key Lab Appl Math & Complex Syst, Lanzhou 730000, Peoples R China.
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Tempered fractional substantial derivative  Feynman-Kac equation  Finite difference approximation  Finite element approximation  
Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 112, 期号: 1, 页码: 126-145
Authors:  Yu, YY;  Deng, WH(邓伟华);  Wu, YJ(伍渝江);  Wu, J;  Deng, WH (reprint author), Lanzhou Univ, Gansu Key Lab Appl Math & Complex Syst, Sch Math & Stat, Lanzhou 730000, Peoples R China.
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Tempered fractional calculus  Finite difference schemes  Riemann-Liouville normalized tempered fractional derivative  
Mean exit time and escape probability for the anomalous processes with the tempered power-law waiting times 期刊论文
EPL, 2017, 卷号: 117, 期号: 1-1
Authors:  Deng, WH(邓伟华);  Wu, XC;  Wang, WL;  Deng, WH (reprint author), Lanzhou Univ, Gansu Key Lab Appl Math & Complex Syst, Sch Math & Stat, Lanzhou 730000, Peoples R China.
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HIGH-ORDER QUASI-COMPACT DIFFERENCE SCHEMES FOR FRACTIONAL DIFFUSION EQUATIONS 期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2017, 卷号: 15, 期号: 5, 页码: 1183-1209
Authors:  Yu, YY;  Deng, WH(邓伟华);  Wu, YJ(伍渝江);  Yu, YY (reprint author), Lanzhou Univ, Sch Math & Stat, Gansu Key Lab Appl Math & Complex Syst, Lanzhou 730000, Peoples R China.
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space fractional derivative  tempered space fractional derivative  WSGD discretization  quasi-compact difference scheme  numerical stability and convergence  
A Hybridized Discontinuous Galerkin Method for 2D Fractional Convection-Diffusion Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 68, 期号: 2, 页码: 826-847
Authors:  Wang, SQ;  Yuan, JY;  Deng, WH(邓伟华);  Wu, YJ(伍渝江);  Yuan, JY (reprint author), Univ Fed Parana, Dept Math, Ctr Politecn, CP 19-089, BR-81531980 Curitiba, PR, Brazil.
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2D fractional convection-diffusion equations  Hybridized discontinuous Galerkin method  Symmetric variational formula  Triangular meshes  
Effects of the Tempered Aging and the Corresponding Fokker-Planck Equation 期刊论文
JOURNAL OF STATISTICAL PHYSICS, 2016, 卷号: 164, 期号: 2, 页码: 377-398
Authors:  Deng, WH(邓伟华);  Wang, WL;  Tian, XC;  Wu, YJ(伍渝江);  Deng, WH (reprint author), Lanzhou Univ, Sch Math & Stat, Gansu Key Lab Appl Math & Complex Syst, Lanzhou 730000, Peoples R China.
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Tempered aging  CTRW  Renewal process  Fokker-Planck equation