Solving of Nonlinear System of Fredholm-volterra Integro-differential Equations by Using Discrete Collocation Method

Volume 3, Issue 4, pp 382--389 http://dx.doi.org/10.22436/jmcs.03.04.03

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Authors

M. Rabbani - Department of mathematics, Sari Branch, Islamic Azad University, Sari, Iran S. H. Kiasoltani - Department of mathematics, Noshahar Branch, Islamic Azad university, Noshahar, Iran

Abstract

In this paper, we solve nonlinear system of Fredholm-Volterra integro-differential equations by using discrete collocation method. These types of systems of integral equations are important and they can be used in engineering and some of the applied sciences such as population dynamics, reaction-diffusion in small cells and models of epidemic diffusion. Also these equations with convolution kernel can be solved by discrete collocation method. By the above mentioned method we approximate solution of equation by no smooth piecewise polynomials, for validity and ability the method we solve some examples with high accuracy.

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Keywords

• Fredholm-Volterra integro-differential equations
• discrete collocation method

MSC

•  65R20
•  45J05
•  45G10
•  65H10

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