Numerical solution of nonlinear Volterra-Fredholm integral equations using hybrid of block-pulse functions and Taylor series

被引：37

作者：

Mirzaee, Farshid ^{[1
]}

Hoseini, Ali Akbar ^{[1
]}

机构：

[1] Malayer Univ, Dept Math, Fac Sci, Malayer 6571995863, Iran

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2013年 / 52卷 / 03期

关键词：

Nonlinear Volterra-Fredholm; integral equation; Block-pulse function; Taylor series; Collocation method;

D O I：

10.1016/j.aej.2013.02.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A numerical method based on an NM-set of general, hybrid of block-pulse function and Taylor series (HBT), is proposed to approximate the solution of nonlinear Volterra-Fredholm integral equations. The properties of HBT are first presented. Also, the operational matrix of integration together with Newton-Cotes nodes are utilized to reduce the computation of nonlinear Volterra-Fredholm integral equations into some algebraic equations. In addition, convergence analysis and numerical examples that illustrate the pertinent features of the method are presented. (C) 2013 Production and hosting by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.

引用

页码：551 / 555

页数：5

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