Uniform approximation to fractional derivatives of functions of algebraic singularity

DOI10.1016/j.cam.2008.09.018zbMath1226.65020OpenAlexW2121483858MaRDI QIDQ1019794

Takemitsu Hasegawa, Sugiura, Hiroshi

Publication date: 28 May 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.09.018

zbMATH Keywords

numerical exampleserror analysisquadrature ruleuniform approximationfractional derivativeChebyshev interpolationalgebraic singularityautomatic quadraturefive-term recurrence relation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Numerical differentiation (65D25)

Related Items (4)

A novel class of fractionally orthogonal quasi-polynomials and new fractional quadrature formulas ⋮ Approximation of fractional derivatives via Gauss integration ⋮ An approximation method for high-order fractional derivatives of algebraically singular functions ⋮ Nonstandard Gauss-Lobatto quadrature approximation to fractional derivatives

Uses Software

• Clenshaw-Curtis

Cites Work

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