- Cankaya University Journal of Science and Engineering
- Vol: 17 Issue: 1
- Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential E...
Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method
Authors : Morufu Oyedunsi Olayiwola, A. F. Adebisi, Y. S. Arowolo
Pages : 41-51
View : 8 | Download : 4
Publication Date : 2020-05-01
Article Type : Research
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