Numerical solutions of systems of nonlinear integro-differential equations by Homotopy-perturbation method

Pradip Roul; Peter Meyer

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Numerical solutions of systems of nonlinear integro-differential equations by Homotopy-perturbation method

机译：非线性积分微分方程系统的全同摄动方法的数值解

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摘要

In this study, the numerical solutions of a system of two nonlinear integro-differential equations, which describes biological species living together, are derived employing the well-known Homotopy-perturbation method. The approximate solutions are in excellent agreement with those obtained by the Adomian decomposition method. Furthermore, we present an analytical approximate solution for a more general form of the system of nonlinear integro-differential equations. The numerical result indicates that the proposed method is straightforward to implement, efficient and accurate for solving nonlinear integro-differential equations.

机译：在这项研究中，采用众所周知的同伦摄动法导出了两个非线性积分微分方程系统的数值解，该方程描述了生活在一起的生物物种。近似解与通过Adomian分解法获得的解非常一致。此外，我们为非线性积分微分方程组的更一般形式提供了一种解析近似解。数值结果表明，所提出的方法易于实现，能够高效，准确地求解非线性积分微分方程。

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来源
《Applied Mathematical Modelling》 |2011年第9期|p.4234-4242|共9页
作者
Pradip Roul; Peter Meyer;
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作者单位

Institute for Numerical Mathematics, University of Duisburg-Essen, Duisburg D-47058, Germany;

Institute for Numerical Mathematics, University of Duisburg-Essen, Duisburg D-47058, Germany;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
homotopy-perturbation method; integro-differential equation; biological species living together; numerical solutions; adomian decomposition method;

机译：同伦摄动法积分微分方程共同生活的生物物种;数值解;分解法;

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Numerical solutions of systems of nonlinear integro-differential equations by Homotopy-perturbation method

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