Numerical solution of nonstationary problems for a space-fractional diffusion equation

DOI10.1515/fca-2016-0007zbMath1382.65330arXiv1412.5706OpenAlexW2963245806WikidataQ57694504 ScholiaQ57694504MaRDI QIDQ261255

Petr N. Vabishchevich

Publication date: 23 March 2016

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

Full work available at URL: https://arxiv.org/abs/1412.5706

zbMATH Keywords

elliptic operatorfractional partial differential equationsfractional power of an operatortwo-level difference scheme

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)

Related Items

Factorized schemes for first and second order evolution equations with fractional powers of operators ⋮ A numerical study of the homogeneous elliptic equation with fractional boundary conditions ⋮ A survey on numerical methods for spectral space-fractional diffusion problems ⋮ A Quadrature Scheme for Steady-State Diffusion Equations Involving Fractional Power of Regularly Accretive Operator ⋮ Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions ⋮ Numerical solution of time-dependent problems with fractional power elliptic operator ⋮ Exponent Splitting Schemes for Evolution Equations with Fractional Powers of Operators ⋮ Finite element methods for fractional-order diffusion problems with optimal convergence order ⋮ Monte Carlo estimation of the solution of fractional partial differential equations ⋮ Numerical solution of time-dependent problems with a fractional-power elliptic operator ⋮ Splitting schemes for non-stationary problems with a rational approximation for fractional powers of the operator

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Cites Work

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