Application of Collocation methods for the Numerical Solution of Integro-Differential equations by Chebyshev polynomial
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Date
2011
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Faculty of Pure and Applied Sciences, Ladoke Akintola University of Technology (LAUTECH), Ogbomoso, Nigeria
Abstract
Integro – differential 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- lobatto 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 that collocation methods discussed can be used as a novel solver for linear Integro – differential equations.
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Collocation methods, Integro – differential equations, collocation points and error analysis