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Approximate Solution of Volterra-Fredholm Integral Equation with Hilbert Kernel

by A. S. Ismail
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 101 - Number 1
Year of Publication: 2014
Authors: A. S. Ismail
10.5120/17648-8434

A. S. Ismail . Approximate Solution of Volterra-Fredholm Integral Equation with Hilbert Kernel. International Journal of Computer Applications. 101, 1 ( September 2014), 1-4. DOI=10.5120/17648-8434

@article{ 10.5120/17648-8434,
author = { A. S. Ismail },
title = { Approximate Solution of Volterra-Fredholm Integral Equation with Hilbert Kernel },
journal = { International Journal of Computer Applications },
issue_date = { September 2014 },
volume = { 101 },
number = { 1 },
month = { September },
year = { 2014 },
issn = { 0975-8887 },
pages = { 1-4 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume101/number1/17648-8434/ },
doi = { 10.5120/17648-8434 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:30:31.661590+05:30
%A A. S. Ismail
%T Approximate Solution of Volterra-Fredholm Integral Equation with Hilbert Kernel
%J International Journal of Computer Applications
%@ 0975-8887
%V 101
%N 1
%P 1-4
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this work, We use numerical technique to reduce the Volterra- Fredholm integral equation to a linear system of Fredholm integral equations of the second kind and we apply the product Nystrom method to solve this system of integral equations to get the approximate solution of Volterra-Fredholm integral equation. The results are compared with the exact solution of the integral equation.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Volterra-Fredholm integral equation Hilbert kernel product Nystrom method Numerical treatment.

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