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Título
A variable stepsize hybrid block optimized technique for integrating a class of singularly perturbed parabolic problems.
Autor(es)
Materia
Hybrid block technique
Singularly perturbed problem
Parabolic convection–diffusion problem
Adaptive formulation
Clasificación UNESCO
12 Matemáticas
Fecha de publicación
2024
Editor
Elsevier
Citación
Mufutau Ajani Rufai, Higinio Ramos, Bruno Carpentieri, A variable stepsize hybrid block optimized technique for integrating a class of singularly perturbed parabolic problems, Results in Applied Mathematics, Volume 21, 2024, 100417, ISSN 2590-0374, https://doi.org/10.1016/j.rinam.2023.100417. (https://www.sciencedirect.com/science/article/pii/S2590037423000638)
Resumen
[EN]This paper presents and successfully applies an optimized hybrid block technique using a variable stepsize implementation to integrate a type of singularly perturbed parabolic convection–diffusion problems. The problem under consideration is semi-discretized by utilizing the method of lines. A few numerical experiments have been presented to ascertain the proposed error estimation and adaptive stepsize strategy. Furthermore, the comparison of the proposed method with other techniques in the literature is conducted via numerical experiments, and the results show that our method outperforms other existing methods.
URI
ISSN
2590-0374
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