Fast Crank-Nicolson compact difference scheme for the two-dimensional time-fractional mobile/immobile transport equation

AIMS Mathematics ◽

10.3934/math.2021366 ◽

2021 ◽

Vol 6 (6) ◽

pp. 6242-6254

Author(s):

Lijuan Nong ◽

◽

An Chen ◽

Qian Yi ◽

Congcong Li ◽

...

Keyword(s):

Difference Scheme ◽

Transport Equation ◽

Two Dimensional ◽

Compact Difference Scheme ◽

Compact Difference ◽

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Compact difference scheme for two‐dimensional fourth‐order nonlinear hyperbolic equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22511 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1938-1961

Author(s):

Qing Li ◽

Qing Yang ◽

Huanzhen Chen

Keyword(s):

Difference Scheme ◽

Hyperbolic Equation ◽

Fourth Order ◽

Nonlinear Hyperbolic Equation ◽

Two Dimensional ◽

Compact Difference Scheme ◽

Compact Difference

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Compact difference scheme for two-dimensional fourth-order hyperbolic equation

Advances in Difference Equations ◽

10.1186/s13662-019-2094-4 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Qing Li ◽

Qing Yang

Keyword(s):

Difference Scheme ◽

Hyperbolic Equation ◽

Fourth Order ◽

Two Dimensional ◽

Compact Difference Scheme ◽

Compact Difference ◽

Order Hyperbolic Equation

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On the compact difference scheme for the two‐dimensional coupled nonlinear Schrödinger equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22855 ◽

2021 ◽

Author(s):

Mohamed Rahmeni ◽

Khaled Omrani

Keyword(s):

Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Two Dimensional ◽

Coupled Nonlinear Schrödinger Equations ◽

Compact Difference Scheme ◽

Nonlinear Schrödinger ◽

Compact Difference ◽

Nonlinear Schrodinger Equations

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A compact difference scheme for a two dimensional fractional Klein–Gordon equation with Neumann boundary conditions

Journal of Computational Physics ◽

10.1016/j.jcp.2014.06.022 ◽

2014 ◽

Vol 274 ◽

pp. 268-282 ◽

Author(s):

Seakweng Vong ◽

Zhibo Wang

Keyword(s):

Boundary Conditions ◽

Difference Scheme ◽

Gordon Equation ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Two Dimensional ◽

Compact Difference Scheme ◽

Compact Difference ◽

Klein Gordon ◽

Klein Gordon Equation

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An ADI compact difference scheme for the two-dimensional semilinear time-fractional mobile–immobile equation

Computational and Applied Mathematics ◽

10.1007/s40314-020-01345-x ◽

2020 ◽

Vol 39 (4) ◽

Author(s):

Huifa Jiang ◽

Da Xu ◽

Wenlin Qiu ◽

Jun Zhou

Keyword(s):

Difference Scheme ◽

Two Dimensional ◽

Compact Difference Scheme ◽

Compact Difference

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A compact difference scheme for a two dimensional nonlinear fractional Klein–Gordon equation in polar coordinates

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.04.005 ◽

2016 ◽

Vol 71 (12) ◽

pp. 2524-2540 ◽

Author(s):

Zhibo Wang ◽

Seakweng Vong

Keyword(s):

Difference Scheme ◽

Gordon Equation ◽

Polar Coordinates ◽

Two Dimensional ◽

Compact Difference Scheme ◽

Compact Difference ◽

Klein Gordon ◽

Klein Gordon Equation

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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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New cascadic multigrid methods for two-dimensional Poisson problem based on the fourth-order compact difference scheme

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3831 ◽

2016 ◽

Vol 41 (3) ◽

pp. 920-928 ◽

Author(s):

Ming Li ◽

Chenliang Li

Keyword(s):

Difference Scheme ◽

Fourth Order ◽

Multigrid Methods ◽

Two Dimensional ◽

Compact Difference Scheme ◽

Compact Difference ◽

Poisson Problem ◽

Cascadic Multigrid

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Direct calculation of waves in fluid flows using high-order compact difference scheme

AIAA Journal ◽

10.2514/3.12172 ◽

1994 ◽

Vol 32 (9) ◽

pp. 1766-1773 ◽

Author(s):

Sheng-Tao Yu ◽

Lennart S. Hultgren ◽

Nan-Suey Liu

Keyword(s):

Difference Scheme ◽

Fluid Flows ◽

Direct Calculation ◽

Compact Difference Scheme ◽

Compact Difference

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An explicit fourth-order compact difference scheme for solving the 2D wave equation

Advances in Difference Equations ◽

10.1186/s13662-020-02870-z ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Yunzhi Jiang ◽

Yongbin Ge

Keyword(s):

Wave Equation ◽

Difference Scheme ◽

Fourth Order ◽

Compact Difference Scheme ◽

Compact Difference

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