An improvement of two nonstandard finite difference schemes for two population mathematical models
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Título
An improvement of two nonstandard finite difference schemes for two population mathematical modelsFecha de publicación
2021-03-26Editor
Taylor and Francis; International Society of Difference EquationsISSN
1023-6198; 1563-5120Cita bibliográfica
CALATAYUD, Julia; JORNET, Marc. An improvement of two nonstandard finite difference schemes for two population mathematical models. Journal of Difference Equations and Applications, 2021, p. 1-9.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.tandfonline.com/toc/gdea20/currentVersión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
The aim of this paper is to design appropriate nonstandard finite difference (NSFD) schemes for two population mathematical models based on coupled nonlinear ordinary differential equations. Our work clarifies existing ... [+]
The aim of this paper is to design appropriate nonstandard finite difference (NSFD) schemes for two population mathematical models based on coupled nonlinear ordinary differential equations. Our work clarifies existing constructions of NSFD schemes for these two population models, which are not in full compliance with Mickens' methodology. We select the denominator functions for the discrete first-order derivatives depending on the existence of conservation laws, by following empirical rules suggested by Mickens. We fix nonlocal discretizations that preserve positivity of the schemes, irrespective of the value of the step size. Thus, our NSFD schemes are dynamically consistent with the two population models. We conduct a numerical study to assess the performance of the NSFD method. [-]
Publicado en
Journal of Difference Equations and Applications. Volume 27, 2021 - Issue 3Entidad financiadora
Universitat Jaume I
Título del proyecto o subvención
Acció 3.2 del Pla de Promoció de la Investigació de la Universitat Jaume I per a l'any 2020
Derechos de acceso
info:eu-repo/semantics/openAccess
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