An approximation method for high-order fractional derivatives of algebraically singular functions
DOI10.1016/j.camwa.2011.03.093zbMath1228.65036OpenAlexW2047103292MaRDI QIDQ651575
Takemitsu Hasegawa, Sugiura, Hiroshi
Publication date: 18 December 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.03.093
error analysisquadrature ruleuniform approximationChebyshev interpolationalgebraic singularityfractional derivative of high order
Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Approximation by polynomials (41A10) Numerical approximation and computational geometry (primarily algorithms) (65D99)
Cites Work
- Unnamed Item
- Unnamed Item
- On the Riemann-Liouville fractional calculus, \(g\)-Jacobi functions and \(F\)-Gauss functions
- An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives
- Quadrature rule for Abel's equations: Uniformly approximating fractional derivatives
- Uniform approximation to fractional derivatives of functions of algebraic singularity
- Some recent advances in theory and simulation of fractional diffusion processes
- Fractals and fractional calculus in continuum mechanics
- Numerical integration of functions with poles near the interval of integration
- Fast construction of the Fejér and Clenshaw-Curtis quadrature rules
- An Algorithm Based on the FFT for a Generalized Chebyshev Interpolation
- Implementing Clenshaw-Curtis quadrature, I methodology and experience
This page was built for publication: An approximation method for high-order fractional derivatives of algebraically singular functions