Open AccessTo Asymptotic of the Solution of the Heat Conduction Problem with Double Nonlinearity, Variable Density, Absorption at a Critical Parameter
Publication year - 2019
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.a4455.119119
Subject(s) - work (physics) , heat equation , nonlinear system , mathematical analysis , thermal conduction , mathematics , exponent , asymptotic expansion , critical exponent , absorption (acoustics) , constant (computer programming) , computation , thermodynamics , physics , phase transition , optics , quantum mechanics , linguistics , philosophy , algorithm , computer science , programming language
In this work we have established asymptotic behavior (for t ) of solutions of the Cauchy problem for a nonlinear heat equation with variable density describing the diffusion of heat with nonlinear heat absorption at the critical exponent of the parameter . For numerical computations as an initial approximation we used founded the long time asymptotic of the solution. Numerical experiments and visualization were carried for one and two dimensional case.