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- W4288103178 abstract "A Neural Network (NN) based numerical method is formulated and implemented for solving Boundary Value Problems (BVPs) and numerical results are presented to validate this method by solving Laplace equation with Dirichlet boundary condition and Poisson's equation with mixed boundary conditions. The principal advantage of NN based numerical method is the discrete data points where the field is computed, can be unstructured and do not suffer from issues of meshing like traditional numerical methods such as Finite Difference Time Domain or Finite Element Method. Numerical investigations are carried out for both uniform and non-uniform training grid distributions to understand the efficacy and limitations of this method and to provide qualitative understanding of various parameters involved." @default.
- W4288103178 created "2022-07-28" @default.
- W4288103178 creator A5069385012 @default.
- W4288103178 date "2019-09-24" @default.
- W4288103178 modified "2023-10-14" @default.
- W4288103178 title "A Neural Network Based Method to Solve Boundary Value Problems" @default.
- W4288103178 doi "https://doi.org/10.48550/arxiv.1909.11082" @default.
- W4288103178 hasPublicationYear "2019" @default.
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