This repository provides a simple implementation of a Physics-Informed Neural Network (PINN) designed to solve the 2D wave equation using deep learning. The model incorporates physical constraints ...
File: 1D_Wave_Equation.ipynb Description: This notebook simulates the propagation of a wave in a one-dimensional medium. It demonstrates the numerical solution to the 1D wave equation using finite ...
Abstract: The development of an alternative technique to solve systems of partial differential equations using DSP concepts has generated a lot of recent interest. In this contribution, we look at the ...
It is not yet known if the global attractor of the space-periodic 2D Navier-Stokes equations contains non-stationary solutions u(x,t) such that their energy and enstrophy per unit mass are constant ...
Abstract: A numerical solution of two-dimensional Poisson's equation and Schrodinger wave equation of a deep sub-micron and nano-meter MOSFET has been obtained to gather information about the charge ...
The dissipative two dimensional Quasi-Geostrophic Equation (2D QGE) is studied. First, we prove existence and uniqueness of the solution, local in time, in the critical Sobolev space H2–2α with ...
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