The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0162 ◽

2019 ◽

Vol 11 (4) ◽

pp. 942-956 ◽

Author(s):

global sci

Keyword(s):

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Two Dimensional ◽

Fractional Diffusion Equations ◽

Fast Implementation

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A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.07.007 ◽

2018 ◽

Vol 134 ◽

pp. 66-80 ◽

Author(s):

S. Chen ◽

F. Liu ◽

I. Turner ◽

V. Anh

Keyword(s):

Numerical Method ◽

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Two Dimensional ◽

Bounded Region ◽

Fractional Diffusion Equations

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A preconditioner based on sine transform for two-dimensional semi-linear Riesz space fractional diffusion equations in convex domains

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.07.003 ◽

2021 ◽

Author(s):

Xin Huang ◽

Hai-Wei Sun

Keyword(s):

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Two Dimensional ◽

Convex Domains ◽

Fractional Diffusion Equations ◽

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Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2014.07.023 ◽

2014 ◽

Vol 276 ◽

pp. 26-38 ◽

Author(s):

Weiping Bu ◽

Yifa Tang ◽

Jiye Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Fractional Diffusion Equations ◽

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Fast direct solver for CN-ADI-FV scheme to two-dimensional Riesz space-fractional diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126033 ◽

2021 ◽

Vol 401 ◽

pp. 126033

Author(s):

Wei Qu ◽

Zhi Li

Keyword(s):

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Two Dimensional ◽

Direct Solver ◽

Fractional Diffusion Equations ◽

Fast Direct Solver

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Numerical simulation for the two-dimensional and three-dimensional Riesz space fractional diffusion equations with delay and a nonlinear reaction term

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1544366 ◽

2018 ◽

Vol 96 (10) ◽

pp. 1957-1978

Author(s):

Shuiping Yang

Keyword(s):

Numerical Simulation ◽

Three Dimensional ◽

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Two Dimensional ◽

Fractional Diffusion Equations ◽

Reaction Term ◽

Nonlinear Reaction ◽

Equations With Delay

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Numerical analysis and fast implementation of a fourth-order difference scheme for two-dimensional space-fractional diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.057 ◽

2019 ◽

Vol 346 ◽

pp. 155-166

Author(s):

Zhiyong Xing ◽

Liping Wen

Keyword(s):

Numerical Analysis ◽

Difference Scheme ◽

Fourth Order ◽

Dimensional Space ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Order Difference ◽

Fractional Diffusion Equations ◽

Fast Implementation

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A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.10.015 ◽

2021 ◽

Vol 160 ◽

pp. 331-348

Author(s):

Jun Liu ◽

Chen Zhu ◽

Yanping Chen ◽

Hongfei Fu

Keyword(s):

Collocation Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Spline Collocation ◽

Quadratic Spline ◽

Spline Collocation Method ◽

Fractional Diffusion Equations ◽

Liouville Space ◽

Quadratic Spline Collocation

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An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126091 ◽

2021 ◽

Vol 402 ◽

pp. 126091

Author(s):

Kejia Pan ◽

Hai-Wei Sun ◽

Yuan Xu ◽

Yufeng Xu

Keyword(s):

Fractional Diffusion ◽

Variable Coefficients ◽

Diffusion Equations ◽

Two Dimensional ◽

Multigrid Solver ◽

Fractional Diffusion Equations

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Finite difference schemes for the two-dimensional multi-term time-fractional diffusion equations with variable coefficients

Computational and Applied Mathematics ◽

10.1007/s40314-021-01551-1 ◽

2021 ◽

Vol 40 (5) ◽

Author(s):

Mingrong Cui

Keyword(s):

Finite Difference ◽

Fractional Diffusion ◽

Variable Coefficients ◽

Difference Schemes ◽

Diffusion Equations ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Fractional Diffusion Equations

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Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations

Applied Mathematics Letters ◽

10.1016/j.aml.2016.03.005 ◽

2016 ◽

Vol 59 ◽

pp. 38-47 ◽

Author(s):

Y. Zhao ◽

Y. Zhang ◽

D. Shi ◽

F. Liu ◽

I. Turner

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Nonconforming Finite Element ◽

Two Dimensional ◽

Nonconforming Finite Element Method ◽

Fractional Diffusion Equations ◽

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