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Physics Informed Neural Network Code for 2D Transient Problems (PINN-2DT) Compatible with Google Colab

arXiv 2310.03755 ↗First posted 24 Sep 2023cs.CE cs.LG cs.MScited by 0

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Abstract (arXiv)

We present an open-source Physics Informed Neural Network environment for simulations of transient phenomena on two-dimensional rectangular domains, with the following features: (1) it is compatible with Google Colab which allows automatic execution on cloud environment; (2) it supports two dimensional time-dependent PDEs; (3) it provides simple interface for definition of the residual loss, boundary condition and initial loss, together with their weights; (4) it support Neumann and Dirichlet boundary conditions; (5) it allows for customizing the number of layers and neurons per layer, as well as for arbitrary activation function; (6) the learning rate and number of epochs are available as parameters; (7) it automatically differentiates PINN with respect to spatial and temporal variables; (8) it provides routines for plotting the convergence (with running average), initial conditions learnt, 2D and 3D snapshots from the simulation and movies (9) it includes a library of problems: (a) non-stationary heat transfer; (b) wave equation modeling a tsunami; (c) atmospheric simulations including thermal inversion; (d) tumor growth simulations.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 6 of its 20 references that are in the map. First posted on arXiv 24 Sep 2023.

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References · 6

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2019DeepXDE: A deep learning library for solving differential equationscited by 617
  3. 2023Symbolic Discovery of Optimization Algorithmscited by 423
  4. 2019Transfer learning enhanced physics informed neural network for phase-field modeling of fracturecited by 116
  5. 2022Training Overparametrized Neural Networks in Sublinear Timecited by 22
  6. 2021IDRLnet: A Physics-Informed Neural Network Librarycited by 10

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