Abstract
We explore a high-order parabolic p-biLaplace equation featuring a memory term. Employing Roth’s method, we derived an approximate solution for the semi-discretized problem in time. A series of a priori estimates were established, leading to deductions on convergence, existence, uniqueness, and qualitative outcomes within appropriate functional spaces. We introduced a comprehensive discretization approach utilizing the mixed finite element method. Finaly, we conducted a numerical experiment to confirm the convergence of the proposed scheme.
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Brahim, N.T., Chaoui, A. & Henka, Y. On the study of parabolic degenerate p-biharmonic problem with memory. J. Appl. Math. Comput. (2024). https://doi.org/10.1007/s12190-024-02079-3
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DOI: https://doi.org/10.1007/s12190-024-02079-3