Numerical Solution of Time-Dependent Problems with a Fractional-Power Elliptic Operator


Citar

Texto integral

Acesso aberto Acesso aberto
Acesso é fechado Acesso está concedido
Acesso é fechado Somente assinantes

Resumo

A time-dependent problem in a bounded domain for a fractional diffusion equation is considered. The first-order evolution equation involves a fractional-power second-order elliptic operator with Robin boundary conditions. A finite-element spatial approximation with an additive approximation of the operator of the problem is used. The time approximation is based on a vector scheme. The transition to a new time level is ensured by solving a sequence of standard elliptic boundary value problems. Numerical results obtained for a two-dimensional model problem are presented.

Sobre autores

P. Vabishchevich

Nuclear Safety Institute; Ammosov North-Eastern Federal University

Autor responsável pela correspondência
Email: vabishchevich@gmail.com
Rússia, Moscow, 115191; Yakutsk, 677000

Arquivos suplementares

Arquivos suplementares
Ação
1. JATS XML

Declaração de direitos autorais © Pleiades Publishing, Ltd., 2018