Accession Number : AD0742830

Title :   Solving the Biharmonic Equation in a Square: A Direct Versus a Semidirect Method.

Descriptive Note : Technical memo.,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Ehrlich,L. W.

Report Date : MAR 1972

Pagination or Media Count : 22

Abstract : A direct method is compared with an iterative coupled equation approach for solving the biharmonic difference equation in a square. If there are N sup 2 unknowns, then the direct method requires (C sub 1)(N sup 3) operations compared to (C sub 2)(N sup 5/2) operations for the iterative approach with optimal relaxation, where C sub 1 and C sub 2 are constants. (Author)

Descriptors :   (*DIFFERENCE EQUATIONS, ITERATIONS), BOUNDARY VALUE PROBLEMS, MATRICES(MATHEMATICS), APPROXIMATION(MATHEMATICS), POTENTIAL THEORY, PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE