Journal of Applied Mathematics
Volume 2012 (2012), Article ID 714681, 9 pages
http://dx.doi.org/10.1155/2012/714681
Research Article

Approximation Algorithm for a System of Pantograph Equations

Sabir Widatalla1,2 and Mohammed Abdulai Koroma1

1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
2Department of Physics and Mathematics, College of Education, Sinnar University, Singa, Sudan

Received 23 November 2011; Accepted 2 January 2012

Academic Editor: Yuantong Gu

Copyright © 2012 Sabir Widatalla and Mohammed Abdulai Koroma. 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.

Abstract

We show how to adapt an efficient numerical algorithm to obtain an approximate solution of a system of pantograph equations. This algorithm is based on a combination of Laplace transform and Adomian decomposition method. Numerical examples reveal that the method is quite accurate and efficient, it approximates the solution to a very high degree of accuracy after a few iterates.