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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Error analysis of direct discontinuous Galerkin method for two-dimensional fractional diffusion-wave equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.12.048 ◽

2019 ◽

Vol 349 ◽

pp. 148-157 ◽

Author(s):

Na An ◽

Chaobao Huang ◽

Xijun Yu

Keyword(s):

Wave Equation ◽

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Two Dimensional ◽

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Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7077 ◽

2020 ◽

Author(s):

Hadi Mohammadi‐Firouzjaei ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Laplace Transform ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin ◽

Distributed Order

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A fast element-free Galerkin method for the fractional diffusion-wave equation

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107529 ◽

2021 ◽

pp. 107529

Author(s):

Xiaolin Li ◽

Shuling Li

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Fractional Diffusion ◽

Element Free Galerkin Method ◽

Diffusion Wave ◽

Element Free Galerkin ◽

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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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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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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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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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