εε-Approximate polynomial solutions for the multi-pantograph equation with variable coefficients

In this paper we present a new method to obtain analytical approximate polynomial solutions for the multi-pantograph equation. This method allows us to determine an approximate polynomial solution of the nonlinear multi-pantograph equation with variable coefficients and to specify the maximal error of the approximation relative to the exact solution of the problem. Two numerical examples are given to illustrate the validity and the applicability of the method. A comparison with previous results is also presented.