Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM)

M. Al-Mazmumy, S. O. Almuhalbedi
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引用次数: 2

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.
二阶Adomian分解法求解非线性积分微分方程
Adomian分解法(ADM)可用于求解范围广泛的问题,通常得到级数形式的解。本文提出了非线性积分微分方程的两步Adomian分解方法(TSAM),以方便计算。与标准的Adomian分解方法相比,改进后的方法减少了计算量。这种修改也避免了计算Adomian多项式。数值结果表明了该方法的有效性和性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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