An hybrid numerical algorithm with error estimation for a class of functional integro-differential equations
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Date
2016
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Abstract
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. © 2016, Gazi University Eti Mahallesi.All rights reserved.
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Keywords
Approximation algorithms , Linear equations , Matrix algebra , Numerical methods , Polynomials , Algorithms for functional approximations , Collocation method , Condition , Laguerre's polynomials , Linear functional differential equations , Matrix equations , Numerical algorithms , Systems of linear algebraic equations , Taylor and laguerre polynomial and series , Taylor polynomials , Integrodifferential equations