High dimensional Riesz space distributed-order advection-dispersion equations with ADI scheme in compression format

Autor:	Lot-Kei Chou, Siu-Long Lei
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	high dimension advection-dispersion equations riesz fractional derivative distributed-order alternating direction implicit method compression format Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Electronic Research Archive, Vol 30, Iss 4, Pp 1463-1476 (2022)
Druh dokumentu:	article
ISSN:	2688-1594
DOI:	10.3934/era.2022077?viewType=HTML
Popis:	A second order alternating direction implicit scheme for time-dependent Riesz space distributed-order advection-dispersion equations is applied to higher dimensions with the Tensor-Train decomposition technique. The solutions are solved in compressed format, the Tensor-Train format, and the errors accumulated due to compressions are analyzed to ensure convergence. Problems with low-rank data are tested, the results illustrated a steeper growth in the ranks of the numerical solutions than that in related works.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2a2ac22becc545b996a089d71d5e93e4 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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