求解非线性弱奇异Volterra和Fredholm积分方程的改进Adomian分解方法和噪声项现象

Central European Journal of Engineering Pub Date : 2013-12-11 DOI:10.2478/s13531-013-0123-8

A. Wazwaz, R. Rach, Jun-Sheng Duan

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引用次数: 17

摘要

本文利用系统修正Adomian分解法(ADM)和自抵消“噪声”项的现象，求解非线性弱奇异Volterra、Fredholm和Volterra-Fredholm积分方程。我们表明，与其他传统方案相比，所提出的方法最大限度地减少了计算。通过对几个实例的研究，验证了我们的结果。

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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The modified Adomian decomposition method and the noise terms phenomenon for solving nonlinear weakly-singular Volterra and Fredholm integral equations

In this paper, we use the systematic modified Adomian decomposition method (ADM) and the phenomenon of the self-canceling ”noise” terms for solving nonlinear weakly-singular Volterra, Fredholm, and Volterra-Fredholm integral equations. We show that the proposed approach minimizes the computation, when compared with other conventional schemes. Our results are validated by investigating several examples.

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Central European Journal of Engineering

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