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2023 / March Volume 18 No.1
Solvability of nonlocal parabolic problem with numerical solution
Published Date
2023 / March
Title
Solvability of nonlocal parabolic problem with numerical solution
Author
Oussaeif Taki-Eddine, Chebana Zainouba, Dehilis Sofiane, Ouannas Adel
Keyword
Parabolic equation, integral condition, existence, uniqueness, Fadeo-Galarkin method
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Pagination
41-60
Abstract
This paper is devoted to the study of linear nonlocal problems Dirichlet condition and Neumann condition modeling integration condition a second class of a class of linear reaction-diffusion equations. We show the existence and uniqueness of weak solutions to problems Fadeo-Galarkin method developed to circumvent the resulting complexities due to the existence of integration conditions. We also seek numerical solutions using finite difference techniques.
DOI
10.21915/BIMAS.2023103
https://doi.org/10.21915/BIMAS.2023103
AMS Subject
Classification
35B45, 35A01, 35A02, 65M06
Received
2022-05-08
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