A new collocation method based on Euler polynomials for solution of generalized pantograph equations

Year 2016, Volume: 4 Issue: 4, 285 - 294, 31.12.2016

Birol Ibis Mustafa Bayram

Abstract

In this paper, a new collocation method based on Euler
polynomials is improved for the numerical solution of generalized pantograph
equations. This method transforms the generalized pantograph equations into the
matrix equation with the help of Euler polynomials and collocation points. This
matrix equation corresponds to a system of linear algebraic equations with the
unknown Euler coefficients. By solving this system, the unknown Euler coefficients
of the solution are found. Some numerical examples are given and comparisons
with other methods are made in order to demonstrate the applicability and
validity of the proposed method.

Keywords

Euler collocation method (ECM), collocation points, Euler polynomial

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