Open AccessFinite Element Method and numerical study for a super-linear reaction-diffusion problem with integral conditions
Author(s) -
Sihem Benamira,
Oussaeif Taki Eddine,
Dehilis Sofiane,
Abdelfatah Bouziani
Publication year - 2022
Language(s) - English
DOI - 10.55059/ijm.2022.1.1/11
Subject(s) - uniqueness , finite element method , mathematics , work (physics) , nonlinear system , diffusion , scheme (mathematics) , mixed finite element method , mathematical analysis , extended finite element method , numerical analysis , reaction–diffusion system , physics , quantum mechanics , thermodynamics
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.