Accurate Boundary Treatment for Riesz Space Fractional Diffusion Equations

Journal of Scientific Computing ◽

10.1007/s10915-021-01655-0 ◽

2021 ◽

Vol 89 (2) ◽

Author(s):

Shaoqiang Tang ◽

Gang Pang

Keyword(s):

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

Boundary Treatment

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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 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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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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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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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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Analysis and efficient implementation of alternating direction implicit finite volume method for Riesz space‐fractional diffusion equations in two space dimensions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22554 ◽

2020 ◽

Vol 37 (1) ◽

pp. 818-835

Author(s):

Huan Liu ◽

Xiangcheng Zheng ◽

Hongfei Fu ◽

Hong Wang

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

Alternating Direction Implicit ◽

Fractional Diffusion Equations ◽

Alternating Direction ◽

Two Space Dimensions ◽

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An efficient quadratic finite volume method for variable coefficient Riesz space‐fractional diffusion equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6306 ◽

2020 ◽

Author(s):

Fangli Li ◽

Hongfei Fu ◽

Jun Liu

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Variable Coefficient ◽

Fractional Diffusion ◽

Riesz Space ◽

Diffusion Equations ◽

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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