SILVA, B. P.; http://lattes.cnpq.br/2075532744886483; SILVA, Bosoerg Pereira da.
Résumé:
We will present in this work an analysis of the heat conduction problem
on a bar, a problem in Mathematical Physics that will be solved using the theory
of the Fourier Series. As a motivation for the study of such series, we will verify that
the problem at hand cannot be solved using only the knowledge of Calculus
Differential and Integral and Differential Equations: we will need a tool
more powerful, which will be our main object of study.
We will use the Fourier method or method of separating variables that will indicate
a candidate function to solve the problem. Next, we'll cover in detail-
mind the necessary and sufficient results to show that this is really the solution
of such a problem. Before, however, we will review some topics relevant to the
job.