Analytical and numerical results for the Swift-Hohenberg equation

DOI10.1016/j.amc.2010.01.041zbMath1252.65178OpenAlexW2081649268MaRDI QIDQ961574

F. Talay Akyildiz, Robert A. van Gorder, Dennis A. Siginer, Kuppalapalle Vajravelu

Publication date: 31 March 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.041

zbMATH Keywords

series solutionSwift-Hohenberg equationFisher-Kolmogorov equationconvergent solutionhigher order parabolic model equations

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (9)

A NOVEL VARIATIONAL APPROACH TO FRACTAL SWIFT–HOHENBERG MODEL ARISING IN FLUID DYNAMICS ⋮ A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations ⋮ On the solutions of fractional Swift Hohenberg equation with dispersion ⋮ APPROXIMATE SOLUTIONS OF THE SWIFT-HOHENBERG EQUATION WITH DISPERSION ⋮ Analytical methods for solving the time-fractional Swift-Hohenberg (S-H) equation ⋮ Optimal variational asymptotic method for nonlinear fractional partial differential equations ⋮ Application of homotopy analysis method for fractional Swift Hohenberg equation -- revisited ⋮ Reproducing kernel method for the numerical solution of the 1D Swift-Hohenberg equation ⋮ Rational spline-nonstandard finite difference scheme for the solution of time-fractional Swift-Hohenberg equation

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