Two reliable methods for solving nonlinear evolution equations

Mohamed Ali Hajji; Kamel Al-Khaled

doi:10.1016/j.amc.2006.08.057

Two reliable methods for solving nonlinear evolution equations

Mohamed Ali Hajji, Kamel Al-Khaled

Department of Mathematical Sciences

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

5 Citations (Scopus)

Abstract

This paper aims to introduce a comparison of Adomian decomposition and wavelet basis method for the numerical solution of nonlinear evolution equations. Test problems concerning the motion and interaction of solutions are used to compare between the two methods. The comparisons shows that the Adomian decomposition method, in terms of accuracy, is efficient and easy to use.

Original language	English
Pages (from-to)	1151-1162
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	186
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.08.057
Publication status	Published - Mar 15 2007

Keywords

Adomian decomposition method
Numerical methods
Solitary wave solutions
Wavelets bases

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2006.08.057

Cite this

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abstract = "This paper aims to introduce a comparison of Adomian decomposition and wavelet basis method for the numerical solution of nonlinear evolution equations. Test problems concerning the motion and interaction of solutions are used to compare between the two methods. The comparisons shows that the Adomian decomposition method, in terms of accuracy, is efficient and easy to use.",

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AB - This paper aims to introduce a comparison of Adomian decomposition and wavelet basis method for the numerical solution of nonlinear evolution equations. Test problems concerning the motion and interaction of solutions are used to compare between the two methods. The comparisons shows that the Adomian decomposition method, in terms of accuracy, is efficient and easy to use.

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KW - Numerical methods

KW - Solitary wave solutions

KW - Wavelets bases

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Two reliable methods for solving nonlinear evolution equations

Abstract

Keywords

ASJC Scopus subject areas

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