# 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 language English 1151-1162 12 Applied Mathematics and Computation 186 2 https://doi.org/10.1016/j.amc.2006.08.057 Published - Mar 15 2007

### Fingerprint

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

### Keywords

• 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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