Accession Number:

ADA229137

Title:

A Fully Sinc-Galerkin Method for Euler-Bernoulli Beam Models

Descriptive Note:

Final rept.

Corporate Author:

INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA

Personal Author(s):

Report Date:

1990-10-01

Pagination or Media Count:

45.0

Abstract:

A fully Sinc-Galerkin method in both space and time is presented for fourth-order time-dependent partial differential equations with fixed and cantilever boundary conditions. The Sinc discretizations for the second-order temporal problem and the fourth-order problems are given which prove to be especially useful when applying the forward techniques of this paper to parameter recovery problems. The discrete system which corresponds to the time- dependent partial differential equations of interest are then formulated. Computational issues are discussed and a robust and efficient algorithm for solving the resulting matrix system is outlined. Numerical results which highlight the method are given for problems with both analytic and singular solutions as well as fixed and cantilever boundary conditions. KR

Subject Categories:

  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE