Numerical simulation of the \(N\)-dimensional sine-Gordon equation via operational matrices

DOI10.1016/j.cpc.2011.12.012zbMath1280.35119OpenAlexW2054075722MaRDI QIDQ1948831

Francisco de la Hoz, Fernando Vadillo

Publication date: 25 April 2013

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2011.12.012

zbMATH Keywords

conservation of energysine-Gordon equationintegrating factormatrix differential equationspseudo-spectral methods

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) PDEs in connection with quantum mechanics (35Q40) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items

A numerical meshless method of soliton-like structures model via an optimal sampling density based kernel interpolation, An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons, Numerical simulations of time-dependent partial differential equations, Numerical meshless solution of high-dimensional sine-Gordon equations via Fourier HDMR-HC approximation

Uses Software

• Matlab
• Differentiation Matrix Suite
• mftoolbox

Cites Work

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