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2017 Solutions of First-Order Volterra Type Linear Integrodifferential Equations by Collocation Method
Olumuyiwa A. Agbolade, Timothy A. Anake
J. Appl. Math. 2017: 1-5 (2017). DOI: 10.1155/2017/1510267

Abstract

The numerical solutions of linear integrodifferential equations of Volterra type have been considered. Power series is used as the basis polynomial to approximate the solution of the problem. Furthermore, standard and Chebyshev-Gauss-Lobatto collocation points were, respectively, chosen to collocate the approximate solution. Numerical experiments are performed on some sample problems already solved by homotopy analysis method and finite difference methods. Comparison of the absolute error is obtained from the present method and those from aforementioned methods. It is also observed that the absolute errors obtained are very low establishing convergence and computational efficiency.

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Olumuyiwa A. Agbolade. Timothy A. Anake. "Solutions of First-Order Volterra Type Linear Integrodifferential Equations by Collocation Method." J. Appl. Math. 2017 1 - 5, 2017. https://doi.org/10.1155/2017/1510267

Information

Received: 28 November 2016; Revised: 22 February 2017; Accepted: 2 March 2017; Published: 2017
First available in Project Euclid: 12 April 2017

zbMATH: 07037460
MathSciNet: MR3630675
Digital Object Identifier: 10.1155/2017/1510267

Rights: Copyright © 2017 Hindawi

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