, Volume 19, Issue 1-2, pp 415-425

Decomposition method for solving nonlinear integro-differential equations

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Abstract

This paper outlines a reliable strategy for solving nonlinear Volterra-Fredholm integro-differential equations. The modified form of Adomian decomposition method is found to be fast and accurate. Numerical examples are presented to illustrate the accuracy of the method.

Kamel Al-Khaled: Received his Ph. D from the University of Nebraska-Lincoln (USA) in 1996 under the direction of Thomas Shores. Since 2002 he is on leave from Jordan University of Science and Technology (irbid, Jordan). His current research interests include, ordinary and partial differential equations that arise from modeling in applied mathematics, Sinc methods, and Adomian decomposition method as applied to numerical solutions to partial differential equations.
Fathi Allan: Received his Ph. D from University of Colorado at Boulder, (USA) in 1992 under the direction of James H. Curry. Since 1992 he has been at Birzeit University in Palestine. In 2002, he received Fulbright scholarship and spent the year 2002–2203 at the Massachusets Institute of Technology (MIT). Sinc 2003 he is on leave from Birzeit univesity in Palestine. His main research intersts are Dynamical systems, fluid mechanics and numerical analysis.