A collocation method using Hermite polynomials for approximate solution of pantograph equations

Abstract

In this paper, a numerical method based on polynomial approximation, using Hermite polynomial basis, to obtain the approximate solution of generalized pantograph equations with variable coefficients is presented. The technique we have used is an improved collocation method. Some numerical examples, which consist of initial conditions, are given to illustrate the reality and efficiency of the method. In addition, some numerical examples are presented to show the properties of the given method; the present method has been compared with other methods and the results are discussed. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.