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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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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The Unstructured Mesh Finite Element Method for the Two-Dimensional Multi-term Time–Space Fractional Diffusion-Wave Equation on an Irregular Convex Domain

Journal of Scientific Computing ◽

10.1007/s10915-018-0694-x ◽

2018 ◽

Vol 77 (1) ◽

pp. 27-52 ◽

Author(s):

Wenping Fan ◽

Xiaoyun Jiang ◽

Fawang Liu ◽

Vo Anh

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Convex Domain ◽

Unstructured Mesh ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

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Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation

Numerical Algorithms ◽

10.1007/s11075-014-9827-y ◽

2014 ◽

Vol 67 (4) ◽

pp. 845-862 ◽

Author(s):

Huiya Dai ◽

Leilei Wei ◽

Xindong Zhang

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Numerical Algorithm ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Fully Discrete ◽

Local Discontinuous Galerkin

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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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Boundary stabilization for time-space fractional diffusion-wave equation

10.1109/icsc50472.2021.9666532 ◽

2021 ◽

Author(s):

Jianping Huang ◽

Hua-Cheng Zhou

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

Boundary Stabilization ◽

Diffusion Wave ◽

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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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Recovering space-dependent source for a time-space fractional diffusion wave equation by fractional Landweber method

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2020.1815724 ◽

2020 ◽

pp. 1-22

Author(s):

Su-Zhen Jiang ◽

Yu-Jiang Wu

Keyword(s):

Wave Equation ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Landweber Method

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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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