Trabalho de Conclusão de Curso - Graduação

Equação do calor: soluções analítica numérica

This work contains an introduction to differential equations, where the main objective is to present solutions for the heat equation. A detailed study was made of the method of separation of variables applied to the problem of the heat equation; in usual terms, this method consists of separating the...

ver descrição completa

Autor principal: LEAL, Camila Rodrigues e Rodrigues
Grau: Trabalho de Conclusão de Curso - Graduação
Publicado em: 2023
Assuntos:
Acesso em linha: https://bdm.ufpa.br:8443/jspui/handle/prefix/6140
Resumo:
This work contains an introduction to differential equations, where the main objective is to present solutions for the heat equation. A detailed study was made of the method of separation of variables applied to the problem of the heat equation; in usual terms, this method consists of separating the terms involving the partial derivatives by the equal sign, so that the EDP present in the heat conduction is solved. To have a good understanding, we discuss some concepts and definitions to develop the finite difference solution method, using computer numerical simulations with a focus on the parabolic equation of heat.