Research Article

Approximate Solution of Volterra-Fredholm Integral Equation with Hilbert Kernel

by  A. S. Ismail
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 101 - Issue 1
Published: September 2014
Authors: A. S. Ismail
10.5120/17648-8434
PDF

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 },
                        year    = { 2014 },
                        volume  = { 101 },
                        number  = { 1 },
                        pages   = { 1-4 },
                        doi     = { 10.5120/17648-8434 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2014
                        %A A. S. Ismail
                        %T Approximate Solution of Volterra-Fredholm Integral Equation with Hilbert Kernel%T 
                        %J International Journal of Computer Applications
                        %V 101
                        %N 1
                        %P 1-4
                        %R 10.5120/17648-8434
                        %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
No index terms available.
Keywords

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

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