Solution of the Nonlinear Mixed Volterra-Fredholm Integral Equations by Hybrid of Block-Pulse Functions and Bernoulli Polynomials-Reference-Cited by-同舟云学术

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

Published:2014 Issue: Volume:2014 Page:1-8
ISSN:2356-6140
Container-title:The Scientific World Journal
language:en
Short-container-title:The Scientific World Journal

Author:

Mashayekhi S.¹,Razzaghi M.¹,Tripak O.²

Affiliation:

1. Department of Mathematics and Statistics, Mississippi State University, MS 39762, USA

2. Department of Mathematics and Statistics, Faculty of Science, Prince of Songkla University, Songkhla 90112, Thailand

Abstract

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.

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

Link

http://downloads.hindawi.com/journals/tswj/2014/413623.pdf

Reference27 articles.

1. Class groups of number fields: numerical heuristics

2. Implicitly linear collocation methods for nonlinear Volterra equations

3. Asymptotic error expansion of a collocation-type method for Volterra-Hammerstein integral equations

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