Solution of the Nonlinear Mixed Volterra-Fredholm Integral Equations by Hybrid of Block-Pulse Functions and Bernoulli Polynomials

被引：17

作者：

Mashayekhi, S. ^{[1
]}

Razzaghi, M. ^{[1
]}

Tripak, O. ^{[2
]}

机构：

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

[2] Prince Songkla Univ, Fac Sci, Dept Math & Stat, Hat Yai 90112, Thailand

来源：

SCIENTIFIC WORLD JOURNAL | 2014年

关键词：

SOLVING FREDHOLM;

D O I：

10.1155/2014/413623

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：

A new numerical method for solving the nonlinear mixed Volterra-Fredholm integral equations is presented. This method is based upon hybrid functions approximation. The properties of hybrid functions consisting of block-pulse functions and Bernoulli polynomials are presented. The operational matrices of integration and product are given. These matrices are then utilized to reduce the nonlinear mixed Volterra-Fredholm integral equations to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.

引用

页数：8

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