Approximate solution of generalized pantograph equations with variable coefficients by operational method

In this paper, we present efficient direct solver for solving the generalized pantographequations with variable coefficients. The approach is based on the second kind Chebyshev polynomialstogether with operational method. The main characteristic behind this approach is that it reducessuch problem to ones of solving systems of algebraic equations. Only a small number of Chebyshevpolynomials are needed to obtain a satisfactory result. Numerical results with comparisons are givento confirm the reliability of the proposed method for solving generalized pantograph equations with variable coefficients.