Galerkin finite element method for a semi-linear parabolic equation with integral conditions

Benamira Sihem; Taki Eddine Oussaeif; Bouziani Abdelfatah

doi:10.5269/bspm.44918

Benamira Sihem UniversitÈ des frÈres Mentouri Constantine
Taki Eddine Oussaeif Larbi Ben M’hidi University http://orcid.org/0000-0002-3276-705X
Bouziani Abdelfatah Larbi Ben M’hidi University

Abstract

The present paper is devoted to prove the existence and uniquennes of a weak solution of a semi-linear reaction-difusion equation with only integral terms in the boundaries by using the finite element method and a priory
estimate.

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