Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641123 | Journal of Computational and Applied Mathematics | 2009 | 7 Pages |
Abstract
Fractional derivative Dqf(x) (0
â1) with g(x) being a well-behaved function, we propose a quadrature method for uniformly approximating Dq{xαg(x)}. The present method consists of interpolating g(x) at abscissae in [0,1] by a finite sum of Chebyshev polynomials. It is shown that the use of the lower endpoint x=0 as an abscissa is essential for the uniform approximation, namely to bound the approximation errors independently of xâ[0,1]. Numerical examples demonstrate the performance of the present method.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Takemitsu Hasegawa, Hiroshi Sugiura,