Solution of nonlinear Volterra-Hammerstein integral equations via rationalized Haar functions

被引：19

作者：

Razzaghi, M ^{[1
]}

Ordokhani, Y

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

[2] Amirkabir Univ, Dept Math, Tehran, Iran

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2001年 / 7卷 / 02期

关键词：

rationalized Haar; Volterra-Hammerstein; nonlinear; integral equations;

D O I：

10.1155/S1024123X01001612

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Rationalized Haar functions are developed to approximate the solutions of the nonlinear Volterra-Hammerstein integral equations. Properties of Rationalized Haar functions are first presented, and the operational matrix of integration together with the product operational matrix are utilized to reduce the computation of integral equations to into some algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples.

引用

页码：205 / 219

页数：15

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