Second-order robust finite difference method for singularly perturbed Burgers' equation

In this paper, a second-order robust method for solving singularly perturbed Burgers' equation were presented. To find the numerical approximation, we apply the quasilinearization technique before formulation of the scheme. The obtained experimental results show that the presented method has be...

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Detalles Bibliográficos
Autores principales: Kabeto, Masho Jima, Duressa, Gemechis File
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9344322/
https://www.ncbi.nlm.nih.gov/pubmed/35928437
http://dx.doi.org/10.1016/j.heliyon.2022.e09579
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author Kabeto, Masho Jima
Duressa, Gemechis File
author_facet Kabeto, Masho Jima
Duressa, Gemechis File
author_sort Kabeto, Masho Jima
collection PubMed
description In this paper, a second-order robust method for solving singularly perturbed Burgers' equation were presented. To find the numerical approximation, we apply the quasilinearization technique before formulation of the scheme. The obtained experimental results show that the presented method has better numerical accuracy and convergence as compared to some existing methods in the literature. Thus, the present method provides an accurate solution and efficient to solve the singularly perturbed Burgers' equation.
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spelling pubmed-93443222022-08-03 Second-order robust finite difference method for singularly perturbed Burgers' equation Kabeto, Masho Jima Duressa, Gemechis File Heliyon Research Article In this paper, a second-order robust method for solving singularly perturbed Burgers' equation were presented. To find the numerical approximation, we apply the quasilinearization technique before formulation of the scheme. The obtained experimental results show that the presented method has better numerical accuracy and convergence as compared to some existing methods in the literature. Thus, the present method provides an accurate solution and efficient to solve the singularly perturbed Burgers' equation. Elsevier 2022-05-31 /pmc/articles/PMC9344322/ /pubmed/35928437 http://dx.doi.org/10.1016/j.heliyon.2022.e09579 Text en © 2022 The Author(s) https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Research Article
Kabeto, Masho Jima
Duressa, Gemechis File
Second-order robust finite difference method for singularly perturbed Burgers' equation
title Second-order robust finite difference method for singularly perturbed Burgers' equation
title_full Second-order robust finite difference method for singularly perturbed Burgers' equation
title_fullStr Second-order robust finite difference method for singularly perturbed Burgers' equation
title_full_unstemmed Second-order robust finite difference method for singularly perturbed Burgers' equation
title_short Second-order robust finite difference method for singularly perturbed Burgers' equation
title_sort second-order robust finite difference method for singularly perturbed burgers' equation
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9344322/
https://www.ncbi.nlm.nih.gov/pubmed/35928437
http://dx.doi.org/10.1016/j.heliyon.2022.e09579
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