article · Journal of Nonlinear Mathematical Physics
We consider in this article the numerical analysis of the Boussinesq equation. The numerical results are based on a finite element discretization in space and a finite difference scheme in time. Furthermore, we introduce a Physics-Informed Neural Network (PINN) and explore its use in solving the Boussinesq equation, comparing its performance with the traditional numerical approach.
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DOI: 10.1007/s44198-025-00353-x
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