Computational Error Estimate for the Power Series Solution of Odes Using Zeros of Chebyshev Polynomial

Abstract

This paper compares the error estimation of power series solution with recursive Tau method for solving ordinary differential equations. From the computational viewpoint, the power series using zeros of Chebyshevpolunomial is effective, accurate and easy to use.

Keywords: Lanczos Tau method, Chebyshev polynomial, initial value problems, Lanczos – Ortiz Canonical polynomial, Ordinary Differential Equations