Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method

Year 2020, Volume: 17 Issue: 1, 41 - 51, 01.05.2020

Morufu Oyedunsi Olayiwola , A. F. Adebısı Y. S. Arowolo

https://izlik.org/JA89DB97BU

Abstract

In this paper, we presented an efficient numerical method of solving Volterra integro-differential equations by applying Legendre as basis function for the solution of initial value problem of Integro-differential equations. We assumed appropriate solutions in terms of Legendre polynomial as basis function which was substituted into the class of integro-differential equations considered. This transformed the integro-differential equations and the given initial conditions into matrix equations. By collocating at point corresponding to N- systems of equations, the results obtained for some numerical examples justified the efficiency and reliability of the proposed method.

Keywords

Collocation method , Legendre polynomial basis function , Volterra Integro-differential equations

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