Fitted mesh method for singularly perturbed parabolic problems with an interior layer

Tesfaye Aga Bullo, Guy Aymard Degla and Gemechis File Duressa

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 193, issue C, 371-384

Abstract: The fitted mesh numerical method is presented to solve parabolic problems involving an interior layer. A uniform mesh was applied in the temporal direction and fitted mesh type on the space variable yields the discrete problem. The convergence of the method is established and shown to the second-order in the temporal direction with the first-order convergent in the spatial one. Further, the scheme is proven to be parameter independent convergent and also confirmed by numerical experiments. In a nutshell, novelty of the present scheme is uniformly convergent and gives a more accurate solution than some existing methods in the literature.

Keywords: Parabolic problems with an interior layer; Fitted mesh; Uniformly convergent (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475421003931
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:193:y:2022:i:c:p:371-384

DOI: 10.1016/j.matcom.2021.10.029

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().