An unconditionally stable numerical scheme for competing species undergoing nonlocal dispersion

Autor:	Jianlong Han, Seth Armstrong, Sarah Duffin
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	finite difference scheme convergence nonstandard scheme competition model population dynamics Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Electronic Research Archive, Vol 32, Iss 4, Pp 2478-2490 (2024)
Druh dokumentu:	article
ISSN:	2688-1594
DOI:	10.3934/era.2024114?viewType=HTML
Popis:	Nonstandard numerical approximation for the study of a competition model for two species that experience nonlocal diffusion, or dispersion, allows for faithful representation of the theoretical solution to the system. Such a scheme may preserve positivity of solutions, be uniquely solvable, and be completely stable. Under appropriate conditions, the error between the scheme and the theoretical solution can be measured. We present such a scheme here and confirm its desirable properties as they reflect the solution to the system.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3c3de240a3e24ba7b4c6d18fd43d2289 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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