APPLICATION OF COLLATION METHODS FOR THE NUMERIC SOLUTION OF INTEGRO-DIFFERENTIAL EQUATIONS BY CHEBYSHEV POLYNOMIALS

Abstract

Integro – differetial equations find special applicability within scientific and mathematical discipline.. In this work, the application of some collocation methods for solving Integro-Differential equations presented. We employed two collocation methods namely, Standard and Perturbed collocation methods and the following collocation points namely, Equally spaced interior collocation, Chebyshev Gauss – Lobatto collocation and Chebyshev Gauss-Radau collocation points were used. Errors analysis and illustrative examples were included to demonstrate the validity and applicability of the methods MATLAB 7 was used to carry out the computation. We conclude the collocation methods discussed can be used as a novel solver for linear Integro – differential equations.