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<p>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.</p>

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Numerical and Physics-Informed Neural Network Analysis for the Boussinesq-Type Equation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月25日

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  • Saleh Fahad Aljurbua,
  • Ahmed Bchatnia,
  • Abderrahmane Beniani,
  • Boumediene Boukhari

摘要

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.