On the Eigenvalue Problem for the Discrete Analogue of the Laplace Operator in Spherical Coordinates

Authors:
Publisher website
Google Scholar
Abstract
The eigenvalue problem for the finite-differenced analogues of the Laplace operator in spherical coordinates is considered. Finding eigenvalues and eigenfunctions for the finite-differenced boundary settings is a useful tool when evaluating the conditions for the implementation of the so-called matrix sweep method. This method makes it possible to determine potentials in two cases: (a) when the discrete fundamental solution is known, and (b) if an additional a priori information on the boundary values of potentials is given.