A high-order ADI scheme for the two-dimensional time fractional diffusion-wave equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2014.915960 ◽

2014 ◽

Vol 92 (5) ◽

pp. 970-979 ◽

Author(s):

Zhibo Wang ◽

Seakweng Vong

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

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A high-order numerical algorithm for two-dimensional time–space tempered fractional diffusion-wave equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.08.005 ◽

2019 ◽

Vol 135 ◽

pp. 30-46 ◽

Author(s):

Hengfei Ding

Keyword(s):

Wave Equation ◽

Numerical Algorithm ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

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Effect of the nodes near boundary points on the stability analysis of sixth-order compact finite difference ADI scheme for the two-dimensional time fractional diffusion-wave equation

Transactions of A Razmadze Mathematical Institute ◽

10.1016/j.trmi.2018.03.003 ◽

2018 ◽

Vol 172 (3) ◽

pp. 582-605 ◽

Author(s):

Z. Soori ◽

A. Aminataei

Keyword(s):

Wave Equation ◽

Stability Analysis ◽

Finite Difference ◽

Fractional Diffusion ◽

Sixth Order ◽

Two Dimensional ◽

Diffusion Wave ◽

Compact Finite Difference ◽

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A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21976 ◽

2015 ◽

Vol 31 (5) ◽

pp. 1692-1712 ◽

Author(s):

Seakweng Vong ◽

Zhibo Wang

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

Polar Coordinates ◽

Two Dimensional ◽

Diffusion Wave ◽

Compact Adi Scheme

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A high-order scheme to approximate the Caputo fractional derivative and its application to solve the fractional diffusion wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2018.10.011 ◽

2019 ◽

Vol 376 ◽

pp. 1312-1330 ◽

Author(s):

Ruilian Du ◽

Yubin Yan ◽

Zongqi Liang

Keyword(s):

Wave Equation ◽

Fractional Derivative ◽

Caputo Fractional Derivative ◽

Fractional Diffusion ◽

Diffusion Wave ◽

High Order Scheme ◽

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Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2013.08.031 ◽

2013 ◽

Vol 255 ◽

pp. 471-485 ◽

Author(s):

Limei Li ◽

Da Xu ◽

Man Luo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Fractional Diffusion ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Diffusion Wave ◽

Alternating Direction Implicit ◽

Galerkin Finite Element ◽

Alternating Direction

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Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.06.019 ◽

2019 ◽

Vol 146 ◽

pp. 1-12 ◽

Author(s):

Hui Zhang ◽

Xiaoyun Jiang

Keyword(s):

Wave Equation ◽

Numerical Method ◽

Fractional Diffusion ◽

Two Dimensional ◽

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Two-dimensional Bernoulli wavelets with satisfier function in the Ritz–Galerkin method for the time fractional diffusion-wave equation with damping

Mathematical Sciences ◽

10.1007/s40096-017-0214-4 ◽

2017 ◽

Vol 11 (3) ◽

pp. 195-202 ◽

Author(s):

Z. Barikbin

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

Satisfier Function

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Numerical Solution of Fractional Diffusion Wave Equation and Fractional Klein–Gordon Equation via Two-Dimensional Genocchi Polynomials with a Ritz–Galerkin Method

Computation ◽

10.3390/computation6030040 ◽

2018 ◽

Vol 6 (3) ◽

pp. 40 ◽

Author(s):

Afshan Kanwal ◽

Chang Phang ◽

Umer Iqbal

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Numerical Solution ◽

Gordon Equation ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

Genocchi Polynomials ◽

Klein Gordon ◽

Klein Gordon Equation

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The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.05.020 ◽

2019 ◽

Vol 345 ◽

pp. 515-534 ◽

Author(s):

Shujun Shen ◽

Fawang Liu ◽

Vo V. Anh

Keyword(s):

Wave Equation ◽

Analytical Solution ◽

Numerical Solutions ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

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Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain

Journal of Computational Physics ◽

10.1016/j.jcp.2014.07.045 ◽

2014 ◽

Vol 276 ◽

pp. 541-562 ◽

Author(s):

Hermann Brunner ◽

Houde Han ◽

Dongsheng Yin

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Boundary Conditions ◽

Fractional Diffusion ◽

Two Dimensional ◽

Artificial Boundary ◽

Diffusion Wave ◽

Artificial Boundary Conditions ◽

Finite Difference Approximations ◽

Difference Approximations

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