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Finite Element Method and numerical study for a super-linear reaction-diffusion problem with integral conditions


Article Information

Title: Finite Element Method and numerical study for a super-linear reaction-diffusion problem with integral conditions

Authors: Sihem Benamira, Takieddine Oussaeif, Sofiane dehilis, Abdelfatah bouziani

Journal: Innovative journal of mathematics

HEC Recognition History
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Year: 2022

Volume: 1

Issue: 1

Language: en

DOI: 10.55059/ijm.2022.1.1/11

Keywords: Finite element method numerical studyNon-local conditionsA priori estimatessuper-linear parabolic equation.

Categories

Abstract

In this work, we prove the existence, uniqueness, and continuous dependence of generalized solution of a nonlinear reaction-diffusion problem with only integral terms in the boundaries, by using the finite element method.Also we have developed an efficient numerical finite difference schemes. Some numerical results are reported to show the efficiency and accuracy of the scheme.


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