Approximate solution of generalized pantograph equations withvariable coefficients by operational method

Abstract

In this paper, we present an efficient direct solver for solvingthe generalizedpantograph equations with variable coefficients. An approachis based on thesecond kind Chebyshev polynomials together with operational method. Themain characteristic behind this approach is that it reducessuch problem to onesof solving systems of algebraic equations. Only a small number ofChebyshevpolynomials are needed to obtain a satisfactory result. Numerical results withcomparisons are given to confirm the reliability of the proposed method forsolving generalized pantograph equations with variable coefficients.