Numerical solution for system of singular nonlinear Volterra integro-differential equations by Newton-Product method

被引：11

作者：

Babayar-Razlighi, B. ^{[1
]}

Soltanalizadeh, B. ^{[2
]}

机构：

[1] Univ Tabriz, Marand Fac Tech & Engn, Tabriz, Iran

[2] Islamic Azad Univ, Ardabil Branch, Young Researchers Club, Ardebil, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 15期

关键词：

Weakly singular; Newton's method; Product integration; Nonlinear integro-differential equations; Volterra integral equations; Numerical solution; DIFFERENTIAL TRANSFORMATION METHOD; STEFAN PROBLEM; INTEGRATION; CONVERGENCE; KINETICS;

D O I：

10.1016/j.amc.2013.01.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we apply Newton-Product method to obtain the numerical solutions of singular nonlinear Volterra integro-differential equations of second kind. We applied Newton's method to linearize it and then we found product integration solution of the linear form. Sufficient conditions for convergence of the numerical method are given and their applicability is illustrated with some examples. Crown Copyright (C) 2013 Published by Elsevier Inc. All rights reserved.

引用

页码：8375 / 8383

页数：9

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