Residual correction of the Hermite polynomial solutions of the generalized pantograph equations

Şuayip Yüzbaşı; Emrah Gök; Mehmet Sezer

Residual correction of the Hermite polynomial solutions of the generalized pantograph equations

Year 2015, Volume: 3 Issue: 2, 118 - 125, 19.01.2015

https://izlik.org/JA43GZ43GC

Abstract

In this paper, we consider the residual correction of the Hermite polynomial solutions of the generalized pantographequations. The Hermite polynomial solutions are obtained by a collocation method. By means of this collocation method, the problemis into a system of algebraic equations and thus unknown coefficients are determined. An error problem is constructed by using theorginal problem and the residual function. Error problem is solved by the Hermite collocation method and thus the imrovedapproximate solutions are gained. The technique is illustrated by studying the problem for two examples. The obtained results showthat the residual corrcetion method is very effective

Keywords

Pantograph equations , Hermite polynomials , collocation method , residual function

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