Green’s function for the one-dimensional Helmholtz equation: closed-form solution from its Fourier sine series

It is presented a way to obtain the closed form for Green’s function related to the nonhomogeneous one-dimensional Helmholtz equation with homogeneous Dirichlet conditions on the boundary of the domain from its Fourier sine series representation. A closed form for the sum of the series ∑ k = 1...

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Bibliographic Details
Main Author: Antonio S. de Castro
Format: Article
Language:Portuguese
Published: Sociedade Brasileira de Física 2021-04-01
Series:Revista Brasileira de Ensino de Física
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100101&tlng=en