A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.11.029 ◽

2019 ◽

Vol 78 (5) ◽

pp. 1288-1301 ◽

Author(s):

Fenling Wang ◽

Yanmin Zhao ◽

Chen Chen ◽

Yabing Wei ◽

Yifa Tang

Keyword(s):

Variable Coefficient ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Fractional Diffusion Equations ◽

Approximate Scheme

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High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2012.m1107 ◽

2012 ◽

Vol 5 (3) ◽

pp. 333-358 ◽

Author(s):

Xia Ji and Huazhong Tang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Galerkin Methods ◽

Two Dimensional ◽

Fractional Diffusion Equations ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods

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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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An efficient difference scheme for the non-Fickian time-fractional diffusion equations with variable coefficient

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107489 ◽

2021 ◽

pp. 107489

Author(s):

Zhouping Feng ◽

Maohua Ran ◽

Yang Liu

Keyword(s):

Difference Scheme ◽

Variable Coefficient ◽

Fractional Diffusion ◽

Diffusion Equations ◽

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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A High Order Finite Difference Method for Tempered Fractional Diffusion Equations with Applications to the CGMY Model

SIAM Journal on Scientific Computing ◽

10.1137/18m1172739 ◽

2018 ◽

Vol 40 (5) ◽

pp. A3322-A3343 ◽

Author(s):

Xu Guo ◽

Yutian Li ◽

Hong Wang

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Fractional Diffusion Equations ◽

High Order Finite Difference

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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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Numerical correction of finite difference solution for two-dimensional space-fractional diffusion equations with boundary singularity

Numerical Algorithms ◽

10.1007/s11075-020-00923-8 ◽

2020 ◽

Author(s):

Zhaopeng Hao ◽

Wanrong Cao ◽

Shengyue Li

Keyword(s):

Finite Difference ◽

Dimensional Space ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Boundary Singularity ◽

Fractional Diffusion Equations ◽

Finite Difference Solution ◽

Difference Solution

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A Robust Preconditioner for Two-dimensional Conservative Space-Fractional Diffusion Equations on Convex Domains

Journal of Scientific Computing ◽

10.1007/s10915-019-00966-7 ◽

2019 ◽

Vol 80 (2) ◽

pp. 1033-1057

Author(s):

Xu Chen ◽

Si-Wen Deng ◽

Siu-Long Lei

Keyword(s):

Fractional Diffusion ◽

Diffusion Equations ◽

Two Dimensional ◽

Convex Domains ◽

Fractional Diffusion Equations

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