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Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM)
Department of Mathematics, Faculty of Science-Al Faisaliah Campus, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
- 1 Department of Mathematics, Faculty of Science-Al Faisaliah Campus, King Abdulaziz University, Jeddah, Saudi Arabia
- 2 Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
International Journal of Modern Nonlinear Theory and Application·Volume 05 (2016)·Pages 248–255·Published 10 November 2016·DOI10.4236/ijmnta.2016.54022
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Abstract
The Adomian decomposition method (ADM) can be used to solve a wide range of problems and usually gets the solution in a series form. In this paper, we propose two-step Adomian Decomposition Method (TSAM) for nonlinear integro-differential equations that will facilitate the calculations. In this modification, compared to the standard Adomian decomposition method, the size of calculations was reduced. This modification also avoids computing Adomian polynomials. Numerical results are given to show the efficiency and performance of this method.
KeywordsAdomian Decomposition MethodNonlinear Volterraintegro-Differential EquationsNonlinear Fredholmintegro-Differential EquationsTwo-Step
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