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2022 / March Volume 17 No.1
A priori estimate and numerical study of solution for a parabolic equation with nonlinear integral condition
Published Date
2022 / March
Title
A priori estimate and numerical study of solution for a parabolic equation with nonlinear integral condition
Author
Chebana Zainouba, Oussaeif Taki-Eddine, Dehilis Sofiane, Leila Benaoua
Keyword
parabolic equation, Non linear eqautions, Integral condition, Existence, Uniqueness, energy inequality method
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Pagination
83-103
Abstract
In this paper we present a class of parabolic equation with nonlinear nonlocal conditions of second type where we show two part of this study the theoretical part we prove the existence and uniqueness of the solution by energy inequality method. Then the numerical part where we study the consistence and stability of solution.
DOI
10.21915/BIMAS.2022103
https://doi.org/10.21915/BIMAS.2022103
AMS Subject
Classification
35K58, 35K61, 35B45, 35A01, 35A02
Received
2021-12-27
Accepted
2022-03-20
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