Using of Machine Learning algorithm and Spectral method for simulation of Nonlinear Wave Equation

Abstract

This article is devoted to the description of a nonlinear partial differential equation, known as the Korteweg-de Vries equation (KdV) [1]-[3]. To solve this equation numerically, we used a spectral method using a fast Fourier transform. In conclusion, we compared the numerical solution using the spectral method and the solution using machine learning.