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A numerical scheme for the solution of Sivashinsky equation
Journal article   Peer reviewed

A numerical scheme for the solution of Sivashinsky equation

Shaher Momani
Applied mathematics and computation, Vol.168(2), pp.1273-1280
15/09/2005
DOI: https://doi.org/10.1016/j.amc.2004.10.019

Abstract

Decomposition method Initial value problem Sivashinsky equation
In this paper, we present a numerical scheme for the solution of the evolutionary fourth-order in space, Sivashinsky equation. The scheme is based on Adomian’s decomposition approach and the solutions are calculated in the form of a convergent series with easily computable components. Some numerical examples are presented.

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