A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.871000 ◽

2014 ◽

Vol 91 (10) ◽

pp. 2215-2231 ◽

Author(s):

Xiuling Hu ◽

Luming Zhang

Keyword(s):

Difference Scheme ◽

Fourth Order ◽

Fractional Diffusion ◽

Wave System ◽

Compact Difference Scheme ◽

Diffusion Wave ◽

Compact Difference

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A compact finite difference scheme for the fourth-order fractional diffusion-wave system

Computer Physics Communications ◽

10.1016/j.cpc.2011.04.013 ◽

2011 ◽

Vol 182 (8) ◽

pp. 1645-1650 ◽

Author(s):

Xiuling Hu ◽

Luming Zhang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Fractional Diffusion ◽

Wave System ◽

Diffusion Wave ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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Sixth-order non-uniform combined compact difference scheme for multi-term time fractional diffusion-wave equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.04.006 ◽

2018 ◽

Vol 131 ◽

pp. 72-94 ◽

Author(s):

Z. Soori ◽

A. Aminataei

Keyword(s):

Wave Equation ◽

Difference Scheme ◽

Fractional Diffusion ◽

Sixth Order ◽

Compact Difference Scheme ◽

Diffusion Wave ◽

Compact Difference

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A compact difference scheme for the fractional diffusion-wave equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2010.01.008 ◽

2010 ◽

Vol 34 (10) ◽

pp. 2998-3007 ◽

Author(s):

R. Du ◽

W.R. Cao ◽

Z.Z. Sun

Keyword(s):

Wave Equation ◽

Difference Scheme ◽

Fractional Diffusion ◽

Compact Difference Scheme ◽

Diffusion Wave ◽

Compact Difference

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Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains

Journal of Computational Physics ◽

10.1016/j.jcp.2015.06.025 ◽

2015 ◽

Vol 298 ◽

pp. 652-660 ◽

Author(s):

H. Ye ◽

F. Liu ◽

V. Anh

Keyword(s):

Wave Equation ◽

Difference Scheme ◽

Fractional Diffusion ◽

Bounded Domains ◽

Compact Difference Scheme ◽

Diffusion Wave ◽

Compact Difference ◽

Distributed Order

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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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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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A Fourth-Order Accurate Compact Difference Scheme for Solving the Three-Dimensional Poisson Equation With Arbitrary Boundaries

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-0805 ◽

2020 ◽

Author(s):

Shirzad Hosseinverdi ◽

Hermann F. Fasel

Keyword(s):

Difference Scheme ◽

Poisson Equation ◽

Fourth Order ◽

Three 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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Maximum norm error estimates of fourth-order compact difference scheme for the nonlinear Schrödinger equation involving a quintic term

Journal of Inequalities and Applications ◽

10.1186/s13660-018-1775-y ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Hanqing Hu ◽

Hanzhang Hu

Keyword(s):

Schrödinger Equation ◽

Difference Scheme ◽

Error Estimates ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Maximum Norm ◽

Compact Difference Scheme ◽

Compact Difference ◽

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A Compact Difference Scheme for Fourth-Order Temporal Multi-Term Fractional Wave Equations and Maximum Error Estimates

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.171118.060119 ◽

2019 ◽

Vol 9 (4) ◽

Author(s):

Guang-Hua Gao ◽

Rui Liu

Keyword(s):

Difference Scheme ◽

Error Estimates ◽

Fourth Order ◽

Wave Equations ◽

Maximum Error ◽

Compact Difference Scheme ◽

Compact Difference ◽

Fractional Wave Equations

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