Fractional calculus and Sinc methods

DOI10.2478/s13540-011-0035-3zbMath1273.65103OpenAlexW1963598930MaRDI QIDQ2853366

Gerd Baumann, Frank Stenger

Publication date: 21 October 2013

Published in: Fractional Calculus and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-011-0035-3

zbMATH Keywords

approximationfractional calculussinc method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Algorithms for approximation of functions (65D15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fractional ordinary differential equations (34A08)

Related Items (18)

Fractional collocation boundary value methods for the second kind Volterra equations with weakly singular kernels ⋮ An efficient numerical approach to solve a class of variable‐order fractional integro‐partial differential equations ⋮ Optimal regularity of SPDEs with additive noise ⋮ Unnamed Item ⋮ A computationally efficient method for tempered fractional differential equations with application ⋮ Fractional Fokker-Planck equation ⋮ Discontinuous Galerkin methods using poly-sinc approximation ⋮ Proof of Stenger's conjecture on matrix \(I^{(-1)}\) of sinc methods ⋮ Convergence rate estimation of poly-sinc-based discontinuous Galerkin methods ⋮ Sinc methods for Lévy-Schrödinger equations ⋮ Lévy-Schrödinger Equation: Their Eigenvalues and Eigenfunctions Using Sinc Methods ⋮ Application of Sinc on the Multi-Order Fractional Differential Equations ⋮ Publications by, and About, Frank Stenger ⋮ Solving fractional diffusion equations by Sinc and radial basis functions ⋮ Finite difference and sinc-collocation approximations to a class of fractional diffusion-wave equations ⋮ Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis ⋮ Fractional adsorption diffusion ⋮ Sinc-approximations of fractional operators: a computing approach

Uses Software

• Mathematica
• Sinc-Pack

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