Accession Number:

AD0607824

Title:

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

Descriptive Note:

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Urabe,Minoru
• Reiter,Allen

Report Date:

1964-09-01

Pagination or Media Count:

52.0

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 dxdtXx,t, an isolated periodic solution lying inside the region of definition of Xx,t can be always obtained by Galerkins procedure if Xx,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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE