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

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

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