兰州大学机构库

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Finite difference/predictor-corrector approximations for the space and time fractional Fokker-Planck equation 期刊论文
APPLIED MATHEMATICS LETTERS, 2012, 卷号: 25, 期号: 11, 页码: 1815-1821
Authors:  Deng, Kaiying;  Deng, Weihua
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Fractional Fokker-Planck equation  Predictor-corrector approach  Stability  Convergence  Subdiffusion  Levy flights  
EFFICIENT NUMERICAL ALGORITHMS FOR THREE-DIMENSIONAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2014, 卷号: 32, 期号: 4, 页码: 371-391
Authors:  Deng, Weihua;  Chen, Minghua
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Fractional partial differential equations  Numerical stability  Locally one dimensional method  Crank-Nicolson procedure  Alternating direction implicit method  
Orthogonal spline collocation methods for the subdiffusion equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 卷号: 255, 页码: 517-528
Authors:  Li, Can;  Zhao, Tinggang;  Deng, Weihua;  Wu, Yujiang
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Orthogonal spline collocation  Subdiffusion equation  Stability  Convergence  
Finite difference approximations and dynamics simulations for the Levy Fractional Klein-Kramers equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2012, 卷号: 28, 期号: 6, 页码: 1944-1965
Authors:  Li, Can;  Deng, Weihua;  Wu, Yujiang
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convergence  finite difference method  Levy flights  Levy fractional Klein-Kramers equation  stability  
Finite Difference Methods and Their Physical Constraints for the Fractional Klein-Kramers Equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2011, 卷号: 27, 期号: 6, 页码: 1561-1583
Authors:  Deng, Weihua;  Li, Can
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convergence  finite difference method  fractional Klein-Kramers equation  stability  
Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation 期刊论文
BIT NUMERICAL MATHEMATICS, 2014, 卷号: 54, 期号: 3, 页码: 623-647
Authors:  Chen, Minghua;  Wang, Yantao;  Cheng, Xiao;  Deng, Weihua
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Riesz fractional diffusion equation  Second-order discretization  Toeplitz and circulant matrices  Multigrid method  
Numerical Algorithms for the Forward and Backward Fractional Feynman-Kac Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2015, 卷号: 62, 期号: 3, 页码: 718-746
Authors:  Deng, Weihua;  Chen, Minghua;  Barkai, Eli
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Fractional Feynman-Kac equation  Fractional substantial derivative  Optimal convergent order  Numerical stability and convergence  Numerical inversion of Laplace transforms  
Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 卷号: 298, 期号: 10, 页码: 678-694
Authors:  Qiu, Liangliang;  Deng, Weihua;  Hesthaven, Jan S.
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2D fractional diffusion equation  Triangular meshes  Nodal discontinuous Galerkin methods  
Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system 期刊论文
PHYSICS LETTERS A, 2007, 卷号: 369, 期号: 5-6, 页码: 438-443
Authors:  Deng, Weihua;  Lu, Jinhu
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Exact Solutions and Their Asymptotic Behaviors for the Averaged Generalized Fractional Elastic Models 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 卷号: 62, 期号: 4, 页码: 443-450
Authors:  Li Can;  Deng Wei-Hua;  Shen Xiao-Qin
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Fourier transform  Laplace transform  Fox's H-function  Green's functions  asymptotic behaviors