Two reliable methods for solving nonlinear evolution equations

Mohamed Ali Hajji, Kamel Al-Khaled

Research output: Contribution to journalArticle

2 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 languageEnglish
Pages (from-to)1151-1162
Number of pages12
JournalApplied Mathematics and Computation
Volume186
Issue number2
DOIs
Publication statusPublished - Mar 15 2007

Fingerprint

Nonlinear Evolution Equations
Adomian Decomposition
Decomposition
Adomian Decomposition Method
Wavelet Bases
Test Problems
Numerical Solution
Motion
Interaction

Keywords

  • Adomian decomposition method
  • Numerical methods
  • Solitary wave solutions
  • Wavelets bases

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

Two reliable methods for solving nonlinear evolution equations. / Hajji, Mohamed Ali; Al-Khaled, Kamel.

In: Applied Mathematics and Computation, Vol. 186, No. 2, 15.03.2007, p. 1151-1162.

Research output: Contribution to journalArticle

Hajji, Mohamed Ali ; Al-Khaled, Kamel. / Two reliable methods for solving nonlinear evolution equations. In: Applied Mathematics and Computation. 2007 ; Vol. 186, No. 2. pp. 1151-1162.
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