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A modification of Durán-type mesh for singularly perturbed problems

Author

Listed:
  • Radojev, G.
  • Brdar, M.
  • Teofanov, Lj.

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.

Suggested Citation

  • Radojev, G. & Brdar, M. & Teofanov, Lj., 2025. "A modification of Durán-type mesh for singularly perturbed problems," Applied Mathematics and Computation, Elsevier, vol. 495(C).
    • Handle: RePEc:eee:apmaco:v:495:y:2025:i:c:s0096300325000669
    DOI: 10.1016/j.amc.2025.129339
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