The finite volume element method for the two-dimensional space-fractional convection–diffusion equation

Autor:	Ziwen Jiang, Yanan Bi
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Algebra and Number Theory Partial differential equation Finite volume element method Discretization Applied Mathematics Derivative Fractional derivative Convection–diffusion equation Stability (probability) Two-dimensional space Ordinary differential equation Convergence (routing) QA1-939 Applied mathematics Convergence Stability Analysis Mathematics
Zdroj:	Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-22 (2021)
ISSN:	1687-1847
Popis:	We develop a fully discrete finite volume element scheme of the two-dimensional space-fractional convection–diffusion equation using the finite volume element method to discretize the space-fractional derivative and Crank–Nicholson scheme for time discretization. We also analyze and prove the stability and convergence of the given scheme. Finally, we validate our theoretical analysis by data from three examples.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::370254f2b873a2e245c8947edaa28bd5 https://doaj.org/article/1e48f55a48334104843a0469e73c30d1 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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