A backward Euler alternating direction implicit difference scheme for the three-dimensional fractional evolution equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22239 ◽

2017 ◽

Vol 34 (3) ◽

pp. 938-958 ◽

Author(s):

Hongbin Chen ◽

Da Xu ◽

Jiliang Cao ◽

Jun Zhou

Keyword(s):

Evolution Equation ◽

Difference Scheme ◽

Three Dimensional ◽

Implicit Difference Scheme ◽

Alternating Direction Implicit ◽

Fractional Evolution Equation ◽

Alternating Direction ◽

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A second order BDF alternating direction implicit difference scheme for the two-dimensional fractional evolution equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2016.05.047 ◽

2017 ◽

Vol 41 ◽

pp. 54-67 ◽

Author(s):

Hongbin Chen ◽

Da Xu ◽

Yulong Peng

Keyword(s):

Evolution Equation ◽

Difference Scheme ◽

Second Order ◽

Two Dimensional ◽

Implicit Difference Scheme ◽

Alternating Direction Implicit ◽

Fractional Evolution Equation ◽

Alternating Direction

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Alternating direction implicit compact difference scheme for the two-dimensional fractional evolution equation

Scientia Sinica Mathematica ◽

10.1360/n012014-00172 ◽

2015 ◽

Vol 45 (8) ◽

pp. 1265-1280

Author(s):

LiMei LI ◽

Long PENG ◽

ShuHua ZHANG

Keyword(s):

Evolution Equation ◽

Difference Scheme ◽

Two Dimensional ◽

Compact Difference Scheme ◽

Alternating Direction Implicit ◽

Fractional Evolution Equation ◽

Compact Difference ◽

Alternating Direction

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An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2014.975694 ◽

2014 ◽

Vol 92 (10) ◽

pp. 2178-2197 ◽

Author(s):

Hongbin Chen ◽

Da Xu ◽

Yulong Peng

Keyword(s):

Evolution Equation ◽

Difference Scheme ◽

Trapezoidal Rule ◽

Two Dimensional ◽

Alternating Direction Implicit ◽

Fractional Evolution Equation ◽

Alternating Direction ◽

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Alternating direction implicit difference scheme for the multi-term time-fractional integro-differential equation with a weakly singular kernel

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.06.027 ◽

2020 ◽

Vol 79 (2) ◽

pp. 244-255 ◽

Author(s):

Jun Zhou ◽

Da Xu

Keyword(s):

Differential Equation ◽

Difference Scheme ◽

Singular Kernel ◽

Implicit Difference Scheme ◽

Weakly Singular Kernel ◽

Alternating Direction Implicit ◽

Integro Differential Equation ◽

Weakly Singular ◽

Alternating Direction

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Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.01.022 ◽

2016 ◽

Vol 71 (5) ◽

pp. 1114-1128 ◽

Author(s):

Pengde Wang ◽

Chengming Huang

Keyword(s):

Schrödinger Equation ◽

Difference Scheme ◽

Schrodinger Equation ◽

Two Dimensions ◽

Implicit Difference Scheme ◽

Alternating Direction Implicit ◽

Fractional Schrödinger Equation ◽

Alternating Direction ◽

Fractional Schrodinger Equation

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Alternating Direction Implicit Galerkin Finite Element Method for the Two-Dimensional Time Fractional Evolution Equation

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2014.y11051 ◽

2014 ◽

Vol 7 (1) ◽

pp. 41-57 ◽

Author(s):

Limei Li and Da Xu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Evolution Equation ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Alternating Direction Implicit ◽

Galerkin Finite Element ◽

Fractional Evolution Equation ◽

Alternating Direction ◽

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Pointwise error estimate of an alternating direction implicit difference scheme for two-dimensional time-fractional diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.08.012 ◽

2021 ◽

Vol 99 ◽

pp. 155-161

Author(s):

Yue Wang ◽

Hu Chen

Keyword(s):

Diffusion Equation ◽

Error Estimate ◽

Difference Scheme ◽

Fractional Diffusion ◽

Two Dimensional ◽

Implicit Difference Scheme ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Pointwise Error ◽

Time Fractional Diffusion Equation

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An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.10.021 ◽

2021 ◽

Vol 102 ◽

pp. 233-247

Author(s):

Xuehua Yang ◽

Wenlin Qiu ◽

Haixiang Zhang ◽

Liang Tang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Telegraph Equation ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Implicit Finite Difference Scheme ◽

Fractional Telegraph Equation ◽

Implicit Finite Difference

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Notice of Retraction: A Fourth-order compact finite alternating direction implicit difference scheme for the unsteady streamfunction-vorticity formulation of the Navier-StokesB/Boussinesq equations

2010 International Conference on Computer Application and System Modeling (ICCASM 2010) ◽

10.1109/iccasm.2010.5619039 ◽

2010 ◽

Author(s):

Yan Wang ◽

J. S. Wang

Keyword(s):

Difference Scheme ◽

Fourth Order ◽

Boussinesq Equations ◽

Implicit Difference Scheme ◽

Alternating Direction Implicit ◽

Alternating Direction

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Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation

Journal of Computational Physics ◽

10.1016/j.jcp.2012.11.005 ◽

2013 ◽

Vol 236 ◽

pp. 157-168 ◽

Author(s):

Limei Li ◽

Da Xu

Keyword(s):

Evolution Equation ◽

Euler Method ◽

Two Dimensional ◽

Alternating Direction Implicit ◽

Implicit Euler Method ◽

Fractional Evolution Equation ◽

Alternating Direction

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