Accession Number : AD0645820

Title :   APPROXIMATE SOLUTION OF A BASIC BIHARMONIC PROBLEM,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Shafer,G.

Report Date : 27 JUN 1966

Pagination or Media Count : 14

Abstract : In this work application is given of the new method of solving boundary problems to the first basic beharmonic problem for a simply connected final region. By using the properties of the biharmonic potentials studied by Lauricella, the author constructs some complete systems of functions, and then seeks the solution in the form of a generalized series, in accordance with this system. There is proved the uniform convergence of the series.

Descriptors :   (*APPROXIMATION(MATHEMATICS), *POTENTIAL THEORY), (*BOUNDARY VALUE PROBLEMS, APPROXIMATION(MATHEMATICS)), SERIES(MATHEMATICS), FUNCTIONAL ANALYSIS, GREEN'S FUNCTION, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE