An efficient spectral collocation algorithm for nonlinear Phi-four equations

DOI10.1186/1687-2770-2013-87zbMath1295.65100OpenAlexW2158514508WikidataQ59292927 ScholiaQ59292927MaRDI QIDQ2017337

Ali H. Bhrawy, Laila M. B. Assas, Mohammed Ali Alghamdi

Publication date: 25 June 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-87

zbMATH Keywords

convergenceimplicit Runge-Kutta methodnumerical experimentspectral collocation methodJacobi-Gauss-Lobatto quadratureJacobi collocation methodnonlinear time-dependent equationsnonlinear Phi-four equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items

Trigonometric B-spline collocation method for solving PHI-four and Allen-Cahn equations, New exact solutions of nonlinear conformable time-fractional Phi-4 equation, Approximate solutions of Fisher's type equations with variable coefficients, An iterative algorithm for robust simulation of the Sylvester matrix differential equations, ON THE NEW EXPLICIT SOLUTIONS OF THE FRACTIONAL NONLINEAR SPACE-TIME NUCLEAR MODEL

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