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 is found in the process.
Keywords
Green’s function method; Nonhomogeneous Helmholtz equation; Homogeneous Dirichlet conditions.