Study a semi-linear pseudo-parabolic problem with Neumann and integral conditions by using Galerkin mixed finite element method

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  • Sihem Benamira1,
  • Taki-Eddine Oussaeif2,
  • Abdalfeteh Bouziani2,
  1. Departement of mathematics University Mentouri Constantine 1., Algeria.
  2. Department of Mathematics and Computer science, Oum El Bouaghi University, Algeria

Published in Issue 2025-11-09

How to Cite

Study a semi-linear pseudo-parabolic problem with Neumann and integral conditions by using Galerkin mixed finite element method. (2025). Communications in Nonlinear Analysis, 8(2). https://oiccpress.com/cna/article/view/17934

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Abstract

In this paper, we establish sufficient conditions for the the existence, uniqueness, and continuous dependence of generalized solution of a semi-linear pseudo-parabolic problem with Neumann condition and integral boundary condition of first type. The results are by the application of the method based on a priori estimate "energy inequality" and the finite element method based on the Faedo-Galerkin technique.

Keywords

  • Nonlocal conditions,
  • finite element method,
  • A priori estimates,
  • Non-Classical Space,
  • Existence,
  • Uniqueness
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