An improvement of two nonstandard finite difference schemes for two population mathematical models
![Thumbnail](/xmlui/bitstream/handle/10234/193031/calatayud_2021_improvement.pdf.jpg?sequence=5&isAllowed=y)
View/ Open
Metadata
Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
An improvement of two nonstandard finite difference schemes for two population mathematical modelsDate
2021-03-26Publisher
Taylor and Francis; International Society of Difference EquationsISSN
1023-6198; 1563-5120Bibliographic citation
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.Type
info:eu-repo/semantics/articlePublisher version
https://www.tandfonline.com/toc/gdea20/currentVersion
info:eu-repo/semantics/acceptedVersionSubject
Abstract
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. [-]
Is part of
Journal of Difference Equations and Applications. Volume 27, 2021 - Issue 3Funder Name
Universitat Jaume I
Project title or grant
Acció 3.2 del Pla de Promoció de la Investigació de la Universitat Jaume I per a l'any 2020
Rights
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
- MAT_Articles [765]
The following license files are associated with this item: