Journal of Applied Mathematics

Solutions of First-Order Volterra Type Linear Integrodifferential Equations by Collocation Method

Olumuyiwa A. Agbolade and Timothy A. Anake

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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.

Article information

Source
J. Appl. Math., Volume 2017 (2017), Article ID 1510267, 5 pages.

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

Permanent link to this document
https://projecteuclid.org/euclid.jam/1491962481

Digital Object Identifier
doi:10.1155/2017/1510267

Mathematical Reviews number (MathSciNet)
MR3630675

Citation

Agbolade, Olumuyiwa A.; Anake, Timothy A. Solutions of First-Order Volterra Type Linear Integrodifferential Equations by Collocation Method. J. Appl. Math. 2017 (2017), Article ID 1510267, 5 pages. doi:10.1155/2017/1510267. https://projecteuclid.org/euclid.jam/1491962481


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