A novel approach to solve nonlinear Fredholm integral equations of the second kind

被引：7

作者：

Li, Hu ^{[1
]}

Huang, Jin ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

来源：

SPRINGERPLUS | 2016年 / 5卷

基金：

中国国家自然科学基金;

关键词：

A novel approach; Nonlinear Fredholm integral equations; Integral mean value theorem; Newton iteration; COLLOCATION METHOD;

D O I：

10.1186/s40064-016-1810-8

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we present a novel approach to solve nonlinear Fredholm integral equations of the second kind. This algorithm is constructed by the integral mean value theorem and Newton iteration. Convergence and error analysis of the numerical solutions are given. Moreover, Numerical examples show the algorithm is very effective and simple.

引用

页码：1 / 9

页数：9

共 9 条

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