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Journal of Applied Mathematics
Volume 1, Issue 4, Pages 141-155

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

Department of Computer Science, Mathematics and Statistics, American University of Sharjah, United Arab Emirates

Received 24 January 2001; Revised 22 June 2001

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.