Parameter uniform numerical method for a system of singularly perturbed parabolic convection–diffusion equations

Satpal Singh and Devendra Kumar

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 212, issue C, 360-381

Abstract: This article presents a numerical study of the initial boundary value problem for a singularly perturbed system of two equations of convection–diffusion type. The perturbation parameter in both equations leads to the boundary layer in both solution components. The sign of the convection coefficient decides the position of the boundary layer at the right end of the spatial domain. We suggest a numerical method composed of a spline-based scheme with a Shishkin mesh for solving the proposed system. Convergence analysis shows that the numerical technique is nearly second-order uniformly convergent concerning the perturbation parameter. The numerical illustration is delivered to support the theoretical results.

Keywords: Singularly perturbed coupled system of PDEs; Boundary layer; Parameter-uniform convergence; Shishkin mesh; Cubic splines (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475423002094
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:212:y:2023:i:c:p:360-381

DOI: 10.1016/j.matcom.2023.05.004

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 ().