Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems.
Boundary layer
Exponentially fitted method
Extended cubic B-spline
Singular perturbations
Time delay
Two parameter convection-diffusion problem
Journal
BMC research notes
ISSN: 1756-0500
Titre abrégé: BMC Res Notes
Pays: England
ID NLM: 101462768
Informations de publication
Date de publication:
19 Oct 2023
19 Oct 2023
Historique:
received:
18
01
2023
accepted:
10
08
2023
medline:
23
10
2023
pubmed:
20
10
2023
entrez:
19
10
2023
Statut:
epublish
Résumé
This work proposes a uniformly convergent numerical scheme to solve singularly perturbed parabolic problems of large time delay with two small parameters. The approach uses implicit Euler and the exponentially fitted extended cubic B-spline for time and space derivatives respectively. Extended cubic B-splines have advantages over classical B-splines. This is because for a given value of the free parameter [Formula: see text] the solution obtained by the extended B-spline is better than the solution obtained by the classical B-spline. To confirm the correspondence of the numerical methods with the theoretical results, numerical examples are presented. The present numerical technique converges uniformly, leading to the current study of being more efficient.
Identifiants
pubmed: 37858117
doi: 10.1186/s13104-023-06457-1
pii: 10.1186/s13104-023-06457-1
pmc: PMC10588288
doi:
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
282Informations de copyright
© 2023. BioMed Central Ltd., part of Springer Nature.
Références
BMC Res Notes. 2021 Sep 15;14(1):358
pubmed: 34526134
BMC Res Notes. 2022 Oct 11;15(1):318
pubmed: 36221103