Volume no :15, Issue no: 1, May 2012

Journal of Mathematical Sciences: Advances and Applications

RECENT ADVANCES IN THE CONSTRUCTION OF GREEN'S FUNCTIONS FOR REGIONS ON SURFACES OF REVOLUTION

Author's: VOLODYMYR BORODIN
Pages: [37] - [53]
Received Date: April 23, 2012
Submitted by:

Abstract

A technique, which is based on the separation of variables with subsequent either complete or partial summation of the resulting series, is used to obtain a number of computer-friendly representations of Green’s functions. Boundary-value problems, stated for the Laplace equation are considered in regions on a spherical surface. An extension of the technique to other surfaces of revolution is discussed.

Keywords

Green’s function, Laplace equation, boundary-value problems, geographical coordinates, analytical solution.