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

Authors : Morufu Oyedunsi OLAYİWOLA, A F ADEBISI, Y S AROWOLO

Pages : 41-51

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Publication Date : 2020-05-01

Article Type : Research Paper

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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