Journal of Shanghai University(Natural Science Edition) ›› 2012, Vol. 18 ›› Issue (1): 48-53.doi: 10.3969/j.issn.1007-2861.2012.01.010

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Numerical Algorithm for Fractional Calculus Based on Chebyshev Polynomial Approximation

CHEN An,LI Chang-pin   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2010-11-25 Online:2012-02-29 Published:2012-02-29

Abstract: Numerical algorithms based on Chebyshev polynomial approximation are proposed, including a numerical algorithm for fractional integral and a generalized numerical algorithm for fractional derivative. Error estimates are given. Numerical examples show effectiveness of the methods.

Key words: approximation, Chebyshev polynomial, fractional

CLC Number: