Two finite difference schemes for time fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-012-9689-0 ◽

2013 ◽

Vol 64 (4) ◽

pp. 707-720 ◽

Author(s):

Jianfei Huang ◽

Yifa Tang ◽

Luis Vázquez ◽

Jiye Yang

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Fractional Diffusion ◽

Difference Schemes ◽

Finite Difference Schemes ◽

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Second-Order Stable Finite Difference Schemes for the Time-Fractional Diffusion-Wave Equation

Journal of Scientific Computing ◽

10.1007/s10915-014-9966-2 ◽

2014 ◽

Vol 65 (1) ◽

pp. 411-430 ◽

Author(s):

Fanhai Zeng

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Fractional Diffusion ◽

Second Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

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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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Optimal staggered-grid finite-difference schemes by combining Taylor-series expansion and sampling approximation for wave equation modeling

Journal of Computational Physics ◽

10.1016/j.jcp.2016.09.019 ◽

2016 ◽

Vol 326 ◽

pp. 913-930 ◽

Author(s):

Hongyong Yan ◽

Lei Yang ◽

Xiang-Yang Li

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Difference Schemes ◽

Staggered Grid ◽

Equation Modeling ◽

Finite Difference Schemes

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A block-centered finite difference method for the distributed-order time-fractional diffusion-wave equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.04.013 ◽

2018 ◽

Vol 131 ◽

pp. 123-139 ◽

Author(s):

Xiaoli Li ◽

Hongxing Rui

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Distributed Order

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The conservative and fourth-order compact finite difference schemes for regularized long wave equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.036 ◽

2019 ◽

Vol 356 ◽

pp. 98-117 ◽

Author(s):

Bo Wang ◽

Tongjun Sun ◽

Dong Liang

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Fourth Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Compact Finite Difference ◽

Long Wave ◽

Regularized Long Wave Equation ◽

Compact Finite Difference Schemes

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Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2014.08.012 ◽

2014 ◽

Vol 277 ◽

pp. 1-15 ◽

Author(s):

Zhibo Wang ◽

Seakweng Vong

Keyword(s):

Wave Equation ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Difference Schemes ◽

Diffusion Wave ◽

Compact Difference Schemes ◽

Compact Difference

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Construction Analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142993246445 ◽

1996 ◽

Vol 33 (4) ◽

pp. 1266-1302 ◽

Author(s):

Gary Cohen ◽

Patrick Joly

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Acoustic Wave ◽

Fourth Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Acoustic Wave Equation ◽

Nonhomogeneous Media

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Optimal staggered-grid finite-difference schemes based on least-squares for wave equation modelling

Geophysical Journal International ◽

10.1093/gji/ggu032 ◽

2014 ◽

Vol 197 (2) ◽

pp. 1033-1047 ◽

Author(s):

Yang Liu

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Least Squares ◽

Difference Schemes ◽

Staggered Grid ◽

Finite Difference Schemes ◽

Equation Modelling

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Compact finite difference schemes for the time fractional diffusion equation with nonlocal boundary conditions

Computational and Applied Mathematics ◽

10.1007/s40314-017-0553-7 ◽

2017 ◽

Vol 37 (3) ◽

pp. 3906-3926 ◽

Author(s):

Mingrong Cui

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Fractional Diffusion ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Compact Finite Difference ◽

Time Fractional Diffusion Equation

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Comparison of Finite Difference Schemes for the Wave Equation Based on Dispersion

Journal of Applied Mathematics and Physics ◽

10.4236/jamp.2015.311179 ◽

2015 ◽

Vol 03 (11) ◽

pp. 1544-1562 ◽

Author(s):

Yahya Ali Abdulkadir

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes

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