Comparison analysis of two numerical methods for fractional diffusion problems based on the best rational approximations of \(t^\gamma\) on \([0, 1]\)

DOI10.1007/978-3-030-14244-5_9zbMath1429.65064arXiv1805.00711OpenAlexW2955812239MaRDI QIDQ2290595

Publication date: 29 January 2020

Full work available at URL: https://arxiv.org/abs/1805.00711

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10) Approximation by rational functions (41A20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical quadrature and cubature formulas (65D32) Fractional partial differential equations (35R11)

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