AN HYBRID NUMERICAL ALGORITHM WITH ERROR ESTIMATION FOR A CLASS OF FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Authors : Burcu Gürbüz, Mehmet Sezer

Pages : 419-434

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Publication Date : 2016-06-21

Article Type : Other Papers

Abstract :In this paper, a numerical algorithm based on Laguerre and Taylor polynomials is applied for solving a class of functional integrodi erential 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 eciency of the proposed scheme are demonstrated by some numerical experiments. Also, the approximate solutions are corrected by using the residual correction.
Keywords : Linear functional differential equations, Taylor and Laguerre polynomials and series, Algorithms for functional approximation, Collocation methods