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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Vydané v:	Gazi University Journal of Science Ročník 29; číslo 2
Hlavní autori:	Sezer,Mehmet Feridun, Gürbüz,Burcu
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Gazi Üniversitesi Yayınları 01.01.2016
Predmet:	Bilim-Teknoloji Ankara Türkiye Linear functional-differential equations Collocation methods Algorithms for functional approximation Taylor and Laguerre polynomials and series
ISSN:	2147-1762
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Popis
Shrnutí:	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