Finite difference method applied to heat transfer in polymers

Absatract The study of efficient solution methods for mathematical models from physics is important for the purpose of making predictions. In the study of the equations of mathematical physics, the heat equation has an important place. Techniques for studying heat transfer include topics such as Fou...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Journal of physics. Conference series Ročník 1672; číslo 1; s. 12003 - 12007
Hlavní autoři: Nolasco, C, Afanador Garcia, N, Guerrero Garcia, G
Médium: Journal Article
Jazyk:angličtina
Vydáno: Bristol IOP Publishing 01.10.2020
Témata:
Bessel functions
Finite difference method
Fourier analysis
Heat transfer
Mathematical models
Numerical analysis
Numerical methods
Physics
Polynomials
Thermodynamics
ISSN:1742-6588, 1742-6596
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:Absatract The study of efficient solution methods for mathematical models from physics is important for the purpose of making predictions. In the study of the equations of mathematical physics, the heat equation has an important place. Techniques for studying heat transfer include topics such as Fourier analysis, Bessel functions, Legendre polynomials, etc. Throughout this article we will study the heat equation from the point of view of calculating its solutions. For this reason, the solution of the heat equation is proposed by the Fourier method and the explicit numerical method. In the last part of the article studies the accuracy of the numerical method in relation to heat transfer in a spherical polymer and raises the advantage of working with numerical methods to solve mathematical models derived from conservative laws.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1672/1/012003