Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-020-01454-0 ◽

2020 ◽

Author(s):

Xin Lu ◽

Zhi-Wei Fang ◽

Hai-Wei Sun

Keyword(s):

Fractional Diffusion ◽

Riesz Space ◽

Time Dependent ◽

Diffusion Equations ◽

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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Stability and convergence analysis of the quadratic spline collocation method for time-dependent fractional diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.046 ◽

2019 ◽

Vol 346 ◽

pp. 633-648 ◽

Author(s):

Jun Liu ◽

Hongfei Fu ◽

Xiaochao Chai ◽

Yanan Sun ◽

Hui Guo

Keyword(s):

Convergence Analysis ◽

Collocation Method ◽

Fractional Diffusion ◽

Time Dependent ◽

Diffusion Equations ◽

Stability And Convergence ◽

Spline Collocation ◽

Quadratic Spline ◽

Fractional Diffusion Equations ◽

Quadratic Spline Collocation

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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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Efficient second-order ADI difference schemes for three-dimensional Riesz space-fractional diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.06.016 ◽

2021 ◽

Vol 98 ◽

pp. 24-39

Author(s):

Chen Zhu ◽

Bingyin Zhang ◽

Hongfei Fu ◽

Jun Liu

Keyword(s):

Three Dimensional ◽

Fractional Diffusion ◽

Second Order ◽

Riesz Space ◽

Difference Schemes ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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A Fast Finite Difference Method for Three-Dimensional Time-Dependent Space-Fractional Diffusion Equations with Fractional Derivative Boundary Conditions

Journal of Scientific Computing ◽

10.1007/s10915-017-0478-8 ◽

2017 ◽

Vol 74 (2) ◽

pp. 1009-1033 ◽

Author(s):

Meng Zhao ◽

Hong Wang ◽

Aijie Cheng

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Fractional Derivative ◽

Difference Method ◽

Three Dimensional ◽

Fractional Diffusion ◽

Time Dependent ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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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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Banded Preconditioners for Riesz Space Fractional Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-020-01398-4 ◽

2021 ◽

Vol 86 (3) ◽

Author(s):

Zi-Hang She ◽

Cheng-Xue Lao ◽

Hong Yang ◽

Fu-Rong Lin

Keyword(s):

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

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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A multigrid method for linear systems arising from time-dependent two-dimensional space-fractional diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2017.02.008 ◽

2017 ◽

Vol 336 ◽

pp. 69-86 ◽

Author(s):

Xue-lei Lin ◽

Michael K. Ng ◽

Hai-Wei Sun

Keyword(s):

Linear Systems ◽

Multigrid Method ◽

Dimensional Space ◽

Fractional Diffusion ◽

Time Dependent ◽

Diffusion Equations ◽

Two Dimensional ◽

Fractional Diffusion Equations

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Determination of time dependent factors of coefficients in fractional diffusion equations

Mathematical Control and Related Fields ◽

10.3934/mcrf.2016003 ◽

2016 ◽

Vol 6 (2) ◽

pp. 251-269 ◽

Author(s):

Kenichi Fujishiro ◽

Yavar Kian

Keyword(s):

Fractional Diffusion ◽

Time Dependent ◽

Diffusion Equations ◽

Fractional Diffusion Equations

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