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Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions

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Main Authors: Sunil, Kumar, Joginder, Singh, Aakansha
Format: Book
Language:English
Published: Springer 2023
Subjects:
reaction-diffusion typ
perturbed parabolic
Online Access:https://link.springer.com/article/10.1007/s12190-022-01832-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7437
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spelling oai:localhost:PNK-74372023-04-03T07:30:35Z Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions Sunil, Kumar Joginder, Singh Aakansha reaction-diffusion typ perturbed parabolic CC BY We construct and analyze a domain decomposition method to solve a class of singularly perturbed parabolic problems of reaction-diffusion type having Robin boundary conditions. The method considers three subdomains, of which two are finely meshed, and the other is coarsely meshed. The partial differential equation associated with the problem is discretized using the finite difference scheme on each subdomain, while the Robin boundary conditions associated with the problem are approximated using a special finite difference scheme to maintain the accuracy. 2023-04-03T07:30:35Z 2023-04-03T07:30:35Z 2022 Book https://link.springer.com/article/10.1007/s12190-022-01832-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7437 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic reaction-diffusion typ
perturbed parabolic
spellingShingle reaction-diffusion typ
perturbed parabolic
Sunil, Kumar
Joginder, Singh
Aakansha
Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions
description CC BY
format Book
author Sunil, Kumar
Joginder, Singh
Aakansha
author_facet Sunil, Kumar
Joginder, Singh
Aakansha
author_sort Sunil, Kumar
title Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions
title_short Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions
title_full Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions
title_fullStr Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions
title_full_unstemmed Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions
title_sort parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with robin boundary conditions
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s12190-022-01832-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7437
_version_ 1762184303735734272
score 8.889492

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