ADM-Padé solutions for generalized Burgers and Burgers-Huxley systems with two coupled equations

Authors:
Abir Alharbi;E. S. Fahmy
Affiliations:
Mathematics Department, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia;Mathematics Department, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

We present an approximate numerical solution to generalized Burgers and Burgers-Huxley systems with two coupled equations using the ADM-Pade technique which is a combination of the Adomian decomposition method and Pade approximation. The Pade technique is used to enhance the accuracy and speed up the convergence rate of the truncated series solution produced by the ADM. Results are given in graphical form for explicit examples of the two systems.