Journal of Applied Mathematics

Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments

Burcu Gürbüz, Mehmet Sezer, and Coşkun Güler

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Abstract

Laguerre collocation method is applied for solving a class of the Fredholm integro-differential equations with functional arguments. This method transforms the considered problem to a matrix equation which corresponds to a system of linear algebraic equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments. Also, the approximate solutions are corrected by using the residual correction method.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 682398, 12 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305837

Digital Object Identifier
doi:10.1155/2014/682398

Mathematical Reviews number (MathSciNet)
MR3226320

Citation

Gürbüz, Burcu; Sezer, Mehmet; Güler, Coşkun. Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments. J. Appl. Math. 2014 (2014), Article ID 682398, 12 pages. doi:10.1155/2014/682398. https://projecteuclid.org/euclid.jam/1425305837


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