Solving boundary value problems for wave PDE with quasi-classical variational formulation and neural network

We obtain a quasi-classical variational formulation of boundary value problemfor wave PDE and demonstrate that obtained variational functional may be usedas a loss functional to train a neural network, approximating the solution to theboundary value problem.

Language
English
Pages
250-251
State
Published
Year
2024
Organizations
  • 1 Peoples' Friendship University of Russia named after Patrice Lumumba
Keywords
boundary value problem; variational formulation; neural network
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