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.
Highlights
We propose two-step Adomian Decomposition Method (TSAM) for nonlinear integro-differential equations that will facilitate the calculations
In 1999, Wazwaz [1] presented a powerful modification to the “Adomian Decomposition Method” (ADM) that accelerated the rapid convergence of the series solution as compared with the standard Adomian method [2]
The Two-Step Adomian Decomposition Method” (TSADM) may provide the solution by using a single iteration only and reduces the quantity of computation compared with the common “Adomian Decomposition Method” and the modified method
Summary
In 1999, Wazwaz [1] presented a powerful modification to the “Adomian Decomposition Method” (ADM) that accelerated the rapid convergence of the series solution as compared with the standard Adomian method [2]. 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.
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