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

Afshan Kanwal; Chang Phang; Umer Iqbal

doi:10.3390/computation6030040

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 ◽

Cited By ~ 7

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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Direct meshless local Petrov–Galerkin method for the two-dimensional Klein–Gordon equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2016.10.002 ◽

2017 ◽

Vol 74 ◽

pp. 1-13 ◽

Cited By ~ 10

Author(s):

Mohammadreza Ahmadi Darani

Keyword(s):

Galerkin Method ◽

Gordon Equation ◽

Two Dimensional ◽

Klein Gordon ◽

Klein Gordon Equation

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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 ◽

Cited By ~ 2

Author(s):

Z. Barikbin

Keyword(s):

Wave Equation ◽

Galerkin Method ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

Satisfier Function

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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 ◽

Cited By ~ 1

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 ◽

Diffusion Wave

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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 ◽

Element Free

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A Lie-group Approach for Solving Backward Two-dimensional Nonlinear Klein-gordon Equation

Procedia Engineering ◽

10.1016/j.proeng.2014.06.384 ◽

2014 ◽

Vol 79 ◽

pp. 590-598 ◽

Cited By ~ 2

Author(s):

Chih-Wen Chang ◽

Chia-Chen Kuo

Keyword(s):

Lie Group ◽

Gordon Equation ◽

Two Dimensional ◽

Group Approach ◽

Klein Gordon ◽

Klein Gordon Equation

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Relativistic Wave Equation: Klein-Gordon Equation

Relativistic Quantum Mechanics and Quantum Fields ◽

10.1142/9789814439459_0002 ◽

1991 ◽

pp. 10-21

Keyword(s):

Wave Equation ◽

Gordon Equation ◽

Relativistic Wave Equation ◽

Relativistic Wave ◽

Klein Gordon ◽

Klein Gordon Equation

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Numerical solution of a nonlinear Klein-Gordon equation

Journal of Computational Physics ◽

10.1016/0021-9991(78)90038-4 ◽

1978 ◽

Vol 28 (2) ◽

pp. 271-278 ◽

Cited By ~ 198

Author(s):

Walter Strauss ◽

Luis Vazquez

Keyword(s):

Numerical Solution ◽

Gordon Equation ◽

Klein Gordon ◽

Klein Gordon Equation

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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 ◽

Cited By ~ 13

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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Relativistic Wave Equation for Spin-O Particles The Klein-Gordon Equation and Its Applications

Relativistic Quantum Mechanics ◽

10.1007/978-3-642-88082-7_1 ◽

1990 ◽

pp. 1-73 ◽

Cited By ~ 1

Author(s):

Walter Greiner

Keyword(s):

Wave Equation ◽

Gordon Equation ◽

Relativistic Wave Equation ◽

Relativistic Wave ◽

Klein Gordon ◽

Klein Gordon Equation

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