The first and second kind chebyshev coefficients of the moments for the general order derivative on an infinitely differentiable function

Abstract

Expressions for the first and second kinds Chebyshev coefficients of the moments of the general order derivative of an infinitely differentiable function in terms of its Chebyshev coefficients are given. Two numerical applications of how to use these expressions for solving ordinary differential equations with polynomial coefficients are described. Comparisons with the results obtained by Lewanowicz optimum algorithm (1976) are noted.

Keywords:

• Chebyshev polynomials
• spectral methods
• recurrence relations

C.R Categories:

• G1.7