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Talk · International Conference on Engineering & MIS · August 23, 2020

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

Marat Nurtas, Aizhan Ydyrys, Aizhan Altaibek

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.

Nonlinear Waves and SolitonsNumerical Solvers for Ordinary Differential EquationsModel Reduction and Neural NetworksKorteweg-de Vries equationnonlinear wave equationsspectral methods

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