An improvement of two nonstandard finite difference schemes for two population mathematical models
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Títol
An improvement of two nonstandard finite difference schemes for two population mathematical modelsData de publicació
2021-03-26Editor
Taylor and Francis; International Society of Difference EquationsISSN
1023-6198; 1563-5120Cita bibliogràfica
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.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.tandfonline.com/toc/gdea20/currentVersió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Journal of Difference Equations and Applications. Volume 27, 2021 - Issue 3Entitat finançadora
Universitat Jaume I
Títol del projecte o subvenció
Acció 3.2 del Pla de Promoció de la Investigació de la Universitat Jaume I per a l'any 2020
Drets d'accés
info:eu-repo/semantics/openAccess
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