A variable stepsize hybrid block optimized technique for integrating a class of singularly perturbed parabolic problems

Autor: Mufutau Ajani Rufai, Higinio Ramos, Bruno Carpentieri
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Results in Applied Mathematics, Vol 21, Iss , Pp 100417- (2024)
Druh dokumentu: article
ISSN: 2590-0374
DOI: 10.1016/j.rinam.2023.100417
Popis: 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.
Databáze: Directory of Open Access Journals