Finite-difference schemes for a diffusion equation with fractional derivatives in a multidimensional domain

Autor:	N. G. Abrashina-Zhadaeva, I. A. Timoshchenko
Rok vydání:	2013
Předmět:	Diffusion equation Partial differential equation General Mathematics Ordinary differential equation Mathematical analysis Stability (learning theory) Finite difference Analysis Domain (mathematical analysis) Central limit theorem Fractional calculus Mathematics
Zdroj:	Differential Equations. 49:789-795
ISSN:	1608-3083 0012-2661
DOI:	10.1134/s001226611307001x
Popis:	In a multidimensional domain, we consider a partial differential equation with fractional space and time derivatives. For the first initial-boundary value problem, we consider a purely implicit scheme based on the approximate factorization method. We prove the stability of the implicit scheme for the considered class of problems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::854eba8f2dd2afdbad93e258c9583674 https://doi.org/10.1134/s001226611307001x Zobrazit plný text záznamu Plný text ve formátu PDF