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Título
Numerical Treatment of a Two-Parameter Singularly Perturbed Elliptic Problem with Discontinuous Convection and Source Terms.
Autor(es)
Materia
Discontinuous convection and source terms
Finite difference scheme
Shishkin mesh
Elliptic equation
Two-parameter singularly perturbed problem
Clasificación UNESCO
12 Matemáticas
Fecha de publicación
2024
Editor
Springer
Citación
Shiromani, R., Shanthi, V. & Ramos, H. Numerical Treatment of a Two-Parameter Singularly Perturbed Elliptic Problem with Discontinuous Convection and Source Terms. Differ Equ Dyn Syst (2024). https://doi.org/10.1007/s12591-024-00676-z
Resumen
[EN]In this paper, we address a two-parameter singularly perturbed convection-reaction-diffusion 2-D problem. We also consider that the convection and source terms are discontinuous in space. Due to these discontinuities and the presence of perturbation parameters, solutions to such problems show boundary and interior layers. In this study, we have carried out a numerical approach using a finite-difference technique with an appropriate layer-adapted piecewise uniform Shishkin mesh. Some examples are presented which show the best performance of the proposed method and its agreement with the theoretical analysis.
URI
ISSN
0971-3514
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