An efficient and accurate numerical method for the spectral fractional Laplacian equation

DOI10.1007/s10915-019-01122-xzbMath1433.65235OpenAlexW3000025078WikidataQ126381826 ScholiaQ126381826MaRDI QIDQ2291937

Yanyan Li

Publication date: 31 January 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-01122-x

zbMATH Keywords

singularityfractional LaplacianCaffarelli-Silvestre extensionLaguerre approximation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Interpolation in approximation theory (41A05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Fractional partial differential equations (35R11)

Related Items (9)

Efficient Galerkin finite element methods for a time-fractional Cattaneo equation ⋮ Deep Ritz Method for the Spectral Fractional Laplacian Equation Using the Caffarelli--Silvestre Extension ⋮ A Quadrature Scheme for Steady-State Diffusion Equations Involving Fractional Power of Regularly Accretive Operator ⋮ Fast numerical scheme for the time-fractional option pricing model with asset-price-dependent variable order ⋮ An efficient and accurate numerical method for the fractional optimal control problems with fractional Laplacian and state constraint ⋮ Analysis and discretization for an optimal control problem of a variable-coefficient Riesz-fractional diffusion equation with pointwise control constraints ⋮ Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian ⋮ Efficient Algorithms for Computing Multidimensional Integral Fractional Laplacians via Spherical Means ⋮ Spectral, tensor and domain decomposition methods for fractional PDEs

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