A Taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term

Abstract

A numerical method for solving the generalized (retarded or advanced) pantograph equation with constant and variable coefficients under mixed conditions is presented. The method is based on the truncated Taylor polynomials. The solution is obtained in terms of Taylor polynomials. The method is illustrated by studying an initial value problem. IIIustrative examples are included to demonstrate the validity and applicability of the technique. The results obtained are compared to the known results.

Keywords:

• advanced pantograph equation
• Taylor series and polynomials

2000 AMS Subject Classification :

• 41A10
• 41A58
• 65Q05

Acknowledgements

The authors thank the anonymous referees for their very valuable discussions and suggestions which led to a great improvement of this paper.