A modification of Durán-type mesh for singularly perturbed problems

G. Radojev, M. Brdar and Lj. Teofanov

Applied Mathematics and Computation, 2025, vol. 495, issue C

Abstract: A new approach to the Durán-type mesh is presented in order to improve the standard definition of this layer-adjusted mesh and eliminate some of its drawbacks. The construction of this graded mesh is provided for an elliptic convection-diffusion problem, a convection-diffusion-reaction problem, a third-order problem, and a convection-diffusion problem with a large shift. Our modification outperforms the standard Durán-type mesh both theoretically and numerically. Furthermore, the modified mesh is unique and allows for a fair comparison of numerical results obtained with other meshes of the Shishkin and Bakhvalov-types.

Keywords: Singular perturbation; Boundary layers; Graded mesh; Layer-adapted mesh (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:495:y:2025:i:c:s0096300325000669

DOI: 10.1016/j.amc.2025.129339

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