Numerical simulation by Deep Learning for discrete nonlinear problems involving the anisotropic p(.)-Laplacian
Year: 2025
Type: article
Abstract: In this paper, we establish the existence of a class of discrete nonlinear systems involving the anisotropic p⃗(⋅)-Laplacian operator using an optimization based approach. We then simulate the solutions by implementing a deep learning model. The numerical results demonstrate that the proposed method is stable and robust compared to conventional approaches such as the Newton–Krylov method.
Authors: I. Joubbi, F. Aqel, R. Sanou, Laboratoire de Mathématiques et Informatique (LAMI), UFR Sciences Exactes et Appliquées, Université Thomas SANKARA, N. E. Alaa
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4411211687