Accession Number : AD0607824

Title :   NUMERICAL COMPUTATION OF NONLINEAR FORCED OSCILLATIONS BY GALERKIN'S PROCEDURE,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Urabe,Minoru ; Reiter,Allen

Report Date : SEP 1964

Pagination or Media Count : 52

Abstract : The present paper is the continuation of the preceding paper (AD-607 820) by Urabe. In the paper (AD-607 820), Urabe has proved that, for any periodic differential system dx/dt=X(x,t), an isolated periodic solution lying inside the region of definition of X(x,t) can be always obtained by Galerkin's procedure if X(x,t) and its derivative with respect to x are continuously differentiable with respect to x and t. In the present paper, the practical numerical method based on this result is described and some numerical examples are presented. (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), (*NONLINEAR DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS), NUMERICAL METHODS AND PROCEDURES, OSCILLATION, NONLINEAR SYSTEMS, FOURIER ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE