期刊论文详细信息
Revista Brasileira de Ensino de Física
Green’s function for the one-dimensional Helmholtz equation: closed-form solution from its Fourier sine series
关键词: Green’s function method;    Nonhomogeneous Helmholtz equation;    Homogeneous Dirichlet conditions.;   
DOI  :  10.1590/1806-9126-rbef-2021-0068
来源: DOAJ
【 摘 要 】

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 kx sin ky /( k 2 -α 2 ) is found in the process.

【 授权许可】

Unknown   

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