An energy-preserving computational approach for the semilinear space fractional damped Klein-Gordon equation with a generalized scalar potential

DOI10.1016/j.apm.2022.04.009zbMath1503.65229OpenAlexW4223928959MaRDI QIDQ2109630

Mahmoud A. Zaky, Thiab R. Taha, Ahmed S. Hendy, Durvudkhan Suragan

Publication date: 21 December 2022

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2022.04.009

zbMATH Keywords

Klein-Gordon equationHiggs potentialGalerkin spectral methodenergy preserving methodsRiesz space fractional derivatives

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

Related Items (5)

Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations ⋮ A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley-Torvik differential equation ⋮ Improved uniform error bounds of exponential wave integrator method for long-time dynamics of the space fractional Klein-Gordon equation with weak nonlinearity ⋮ Tanh Jacobi spectral collocation method for the numerical simulation of nonlinear Schrödinger equations on unbounded domain ⋮ L1/LDG algorithm for time‐Caputo space‐Riesz fractional convection equation in two dimensions

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