Accession Number : AD0895230

Title :   Solution of Laplace's Equation for Regular Polygon Regions with a Given Boundary Condition,

Corporate Author : NAVAL ORDNANCE LAB WHITE OAK MD

Personal Author(s) : Ruderfer, H.

Report Date : 01 SEP 1951

Pagination or Media Count : 16

Abstract : The method of orthogonal polynomials has been used to obtain an infinite series solution of Laplace's differential equation for a regular polygonal simply-connected region and for a given symmetric boundary condition that is applicable to problems of torsional rigidity. The terms of the series are in the form of determinants. The elements of the determinants are given by means of a recursion formula. This investigation was carried out in order to determine the usefulness of orthogonal polynomial methods to the numerical solution of problems arising in ordnance research. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, BOUNDARY VALUE PROBLEMS), POLYNOMIALS, DETERMINANTS(MATHEMATICS), SERIES(MATHEMATICS), CONVERGENCE, TENSILE PROPERTIES, TORSION, NUMERICAL ANALYSIS, RECURSIVE FUNCTIONS.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE