Numerical approach for solving linear Fredholm integro-differential equation with piecewise intervals by Bernoulli polynomials

被引：9

作者：

Bicer, Gul Gozde ^{[1
]}

Ozturk, Yalcin ^{[2
]}

Gulsu, Mustafa ^{[1
]}

机构：

[1] Mugla Sitki Kocman Univ, Dept Math, Fac Sci, Mugla, Turkey

[2] Mugla Sitki Kocman Univ, Ula Ali Kocman Vocat Sch, Mugla, Turkey

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2018年 / 95卷 / 10期

关键词：

Fredholm integro-differential equation; Bernoulli polynomials; numerical solutions; polynomial approximations; COLLOCATION METHOD; TAYLOR; DIFFERENCE; MATRIX;

D O I：

10.1080/00207160.2017.1366458

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a numerical method is given for the solution of linear Fredholm integro-differential equation (FIDE) with piecewise intervals under the mixed conditions using the Bernoulli polynomials. The aim of this article is to present an efficient numerical procedure for solving linear FIDE with piecewise intervals. This method transforms linear FIDE with piecewise intervals and the given conditions into matrix equation which corresponds to a system of linear algebraic equation. Finally, some experiments and their numerical solutions are given. The results reveal that this method is reliable and efficient.

引用

页码：2100 / 2111

页数：12

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