第二类Volterra积分方程的逐次逼近(Neumann级数)方法

IF 0.2 Q4 MATHEMATICS

Italian Journal of Pure and Applied Mathematics Pub Date : 2016-12-26 DOI:10.11648/J.PAMJ.20160506.16

Teshome Bayleyegn Matebie

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引用次数: 2

摘要

本文研究了一类线性和非线性第一类Volterra积分方程的求解问题。这里，通过将第一类积分方程转化为第二类线性方程将常微分方程转化为积分方程我们可以很容易地解出方程。采用逐次逼近法(Neumann级数法)求解第二类线性和非线性Volterra积分方程。给出了一些例子来说明方法。

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 Method of Successive Approximations (Neumann’s Series) of Volterra Integral Equation of the Second Kind

In this paper, the solving of a class of both linear and nonlinear Volterra integral equations of the first kind is investigated. Here, by converting integral equation of the first kind to a linear equation of the second kind and the ordinary differential equation to integral equation we are going to solve the equation easily. The method of successive approximations (Neumann’s series) is applied to solve linear and nonlinear Volterra integral equation of the second kind. Some examples are presented to illustrate methods.

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来源期刊

Italian Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： The “Italian Journal of Pure and Applied Mathematics” publishes original research works containing significant results in the field of pure and applied mathematics.