Computer-aided analytical solutions of Laplace's equation

Abstract

A software tool which presents analytical solutions of Laplace's equation offers several advantages over numerical techniques, such as the opportunity to study parametric dependence of the solutions and the ability to deal easily with derivatives and highly curved surfaces. The principal obstacles are overcome by a computer program which guides the user through a series of graphical menus to the correct problem statement. The solution is then furnished in a text editing window, and can be copied and exported to other programs, such as word processors and spreadsheets.<>