A numerical scheme for the solution of Sivashinsky equation

Shaher Momani

doi:10.1016/j.amc.2004.10.019

A numerical scheme for the solution of Sivashinsky equation

Shaher Momani

University of Mutah

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1273-1280
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	168
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2004.10.019
State	Published - 15 Sep 2005
Externally published	Yes

Keywords

Decomposition method
Initial value problem
Sivashinsky equation

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10.1016/j.amc.2004.10.019

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title = "A numerical scheme for the solution of Sivashinsky equation",

abstract = "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.",

keywords = "Decomposition method, Initial value problem, Sivashinsky equation",

author = "Shaher Momani",

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AB - 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.

KW - Decomposition method

KW - Initial value problem

KW - Sivashinsky equation

UR - https://www.scopus.com/pages/publications/26044441926

U2 - 10.1016/j.amc.2004.10.019

DO - 10.1016/j.amc.2004.10.019

M3 - Article

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SN - 0096-3003

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SP - 1273

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

A numerical scheme for the solution of Sivashinsky equation

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Keywords

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