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 ∞ sin k x sin k y / ( k 2 - α 2 ) is found in the process.
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| Format: | Digital revista |
| Language: | English |
| Published: |
Sociedade Brasileira de Física
2021
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100101 |
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