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

Yıl 2020, Cilt: 17 Sayı: 1, 41 - 51, 01.05.2020

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

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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