A special successive approximations method for solving boundary value problems including ordinary differential equations

被引：5

作者：

Jahanshahi, Mohammad ^{[1
]}

Nazari, Davoud ^{[1
]}

Aliev, Nihan ^{[2
]}

机构：

[1] Azarbaijan Shahid Madani Univ, Tabriz 5375171379, Iran

[2] Baku State Univ, Baku 370148, Azerbaijan

来源：

MATHEMATICAL SCIENCES | 2013年 / 7卷 / 01期

关键词：

Special successive approximations method; Boundary value problems; Ordinary differential equations;

D O I：

10.1186/2251-7456-7-42

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the solutions of boundary value problems based on the converting differential equation with boundary conditions to a mixed Voletrra and Fredholm integral equation; then, we will use the special case of successive approximations method for solving obtained equation. Convergence analysis and error estimate is discussed; also, a numerical example is presented to demonstrate the accuracy of the proposed technique.

引用

页数：4