中文

Journal of Shanghai University >

2012 , Vol. 18 >Issue 1: 48 - 53

DOI: https://doi.org/10.3969/j.issn.1007-2861.2012.01.010

Mathematics.Physics and Chemistry

Numerical Algorithm for Fractional Calculus Based on Chebyshev Polynomial Approximation

Expand
  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2010-11-25

  Online published: 2012-02-29

Fold

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

Cite this article

CHEN An,LI Chang-pin . Numerical Algorithm for Fractional Calculus Based on Chebyshev Polynomial Approximation[J]. Journal of Shanghai University, 2012 , 18(1) : 48 -53 . DOI: 10.3969/j.issn.1007-2861.2012.01.010

Options
Outlines

/

〈 〉