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...

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Published in:Journal of physics. Conference series Vol. 1672; no. 1; pp. 12003 - 12007
Main Authors: Nolasco, C, Afanador Garcia, N, Guerrero Garcia, G
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 01.10.2020
Subjects:
Bessel functions
Finite difference method
Fourier analysis
Heat transfer
Mathematical models
Numerical analysis
Numerical methods
Physics
Polynomials
Thermodynamics
ISSN:1742-6588, 1742-6596
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Abstract 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.
AbstractList 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.
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.
Author Guerrero Garcia, G
Nolasco, C
Afanador Garcia, N
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Cites_doi 10.1088/1742-6596/1388/1/012034
10.1016/0377-0427(87)90124-5
10.1007/BF01539535
10.14483/udistrital.jour.tecnura.2017.1.a09
10.1119/1.11601
10.1088/1742-6596/1408/1/012017
10.1016/j.jcp.2017.11.039
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Snippet 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...
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...
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SubjectTerms Bessel functions
Finite difference method
Fourier analysis
Heat transfer
Mathematical models
Numerical analysis
Numerical methods
Physics
Polynomials
Thermodynamics
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