Quadrature rule for Abel's equations: uniformly approximating fractional derivatives

Material type: 文書・図像類

Author: SUGIURA, Hiroshiほか

Publisher: Elsevier

Publication date: 2009-01-01

Material Format: Digital

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Note (General)：: An automatic quadrature method is presented for approximating fractional derivative D^qf(x) of a given function f(x), which is defined by an indefinit...

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Material Type: 文書・図像類
Title: Quadrature rule for Abel's equations: uniformly approximating fractional derivatives
Author/Editor: SUGIURA, Hiroshi
HASEGAWA, Takemitsu
Author Heading: SUGIURA, Hiroshi
HASEGAWA, Takemitsu
Publication, Distribution, etc.: Elsevier
Publication Date: 2009-01-01
Publication Date (W3CDTF): 2009-01-01
Periodical title: Journal of Computational and Applied Mathematics
No. or year of volume/issue: 223 1
Volume: 223
Issue: 1
Pages: 459-468
Text Language Code: eng
Subject Heading: Abel's integral equation
fractional derivative
uniform approximation
Target Audience: 一般
Note (General): An automatic quadrature method is presented for approximating fractional derivative D^qf(x) of a given function f(x), which is defined by an indefinite integral involving f(x). The present method interpolates f(x) in terms of the Chebyshev polynomials in the range [0, 1] to approximate the fractional derivative D^qf(x) uniformly for 0 〓 x 〓 1, namely the error is bounded independently of x. Some numerical examples demonstrate the performance of the present automatic method.
Access Restrictions: 限定公開
Related Material (DOI): 10.1016/j.cam.2008.01.019
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 福井大学 : 福井大学学術機関リポジトリ