Abstract
In the present paper, we are interested in investigating a classe of nonlinear parabolic integro-differential equation with unknown flux on the part of Dirichlet boundary. A discrete scheme for the time approximations is introduced. Existence and uniqueness of a weak solution at each time step are proved. Convergence of the approximate solution to the weak solution is shown with the help of some a priori estimates. At the end, our proposed theoretical approach is supported by computational experiments.
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Khalfallaoui, R., Chaoui, A. & Djaghout, M. On the solution of evolution p-Laplace equation with memory term and unknown boundary Dirichlet condition. J Elliptic Parabol Equ (2024). https://doi.org/10.1007/s41808-024-00290-8
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DOI: https://doi.org/10.1007/s41808-024-00290-8