The numerical solution of the nonlinear hyperbolic-parabolic heat equation

The article discusses a mathematical model and a finite-difference scheme for the heating process of an infinite plate. The disadvantages of using the classical parabolic heat equation for this case and the rationale for using the hyperbolic heat equation are given. The relationship between the hype...

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Bibliographic Details

Published in:	Discrete and Continuous Models and Applied Computational Science
Main Authors:	Vladislav N. Khankhasaev, Safron A. Bairov
Format:	Article
Language:	English
Published:	Peoples’ Friendship University of Russia (RUDN University) 2024-06-01
Subjects:	hyperbolic-parabolic equation delay equations initial boundary-value problem finite difference schemes equations of the high order
Online Access:	https://journals.rudn.ru/miph/article/viewFile/40105/23715