An Hybrid Numerical Algorithm With Error Estimation For A Class Of Functional Integro-Differential Equations

In this paper, a numerical algorithm based on Laguerre and Taylor polynomials is applied for solving a class of functional integro-differential equations. The considered problem is transfered to a matrix equation which corresponds to a system of linear algebraic equations by Hybrid collocation metho...

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Bibliographic Details
Published in:	Gazi University Journal of Science Vol. 29; no. 2
Main Authors:	Sezer,Mehmet Feridun, Gürbüz,Burcu
Format:	Journal Article
Language:	English
Published:	Gazi Üniversitesi Yayınları 01.01.2016
Subjects:	Bilim-Teknoloji Ankara Türkiye Linear functional-differential equations Collocation methods Algorithms for functional approximation Taylor and Laguerre polynomials and series
ISSN:	2147-1762
Online Access:	Get full text
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Summary:	In this paper, a numerical algorithm based on Laguerre and Taylor polynomials is applied for solving a class of functional integro-differential equations. The considered problem is transfered to a matrix equation which corresponds to a system of linear algebraic equations by Hybrid collocation method under the mixed conditions. 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.
ISSN:	2147-1762