Journal of Applied Mathematics 
Volume 1 (2001), Issue 4, Pages 141-155
doi:10.1155/S1110757X01000183

A Laplace decomposition algorithm applied to a class of nonlinear differential equations

Suheil A. Khuri

 Department of Computer Science, Mathematics and Statistics, American University of Sharjah, United Arab Emirates
Received 24 January 2001; Revised 22 June 2001

Abstract

In this paper, a numerical Laplace transform algorithm which is based on the decomposition method is introduced for the approximate solution of a class of nonlinear differential equations. The technique is described and illustrated with some numerical examples. The results assert that this scheme is rapidly convergent and quite accurate by which it approximates the solution using only few terms of its iterative scheme.