Open AccessFinite difference method applied to heat transfer in polymers
Author(s) -
C. Nolasco,
Nelson Afanador García,
G. Guerrero Garcia
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1672/1/012003
Subject(s) - legendre polynomials , heat transfer , heat equation , bessel function , mathematics , numerical analysis , fourier transform , finite difference method , point (geometry) , mathematical analysis , physics , mechanics , geometry
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.