Numeric solutions for the pantograph type delay differential equation using First Boubaker polynomials

Abstract

A numerical method is applied to solve the pantograph equation with proportional delay under the mixed conditions. The method is based on the truncated First Boubaker series. The solution is obtained in terms of First Boubaker polynomials. Also, illustrative examples are included to demonstrate the validity and applicability of the technique. The results obtained are compared by the known results. (C) 2013 Elsevier Inc. All rights reserved.