Accession Number:

AD0772558

Title:

Some Numerical Results on Holt's Two-Point Boundary-Value Problem,

Descriptive Note:

Corporate Author:

RICE UNIV HOUSTON TEX AERO-ASTRONAUTICS GROUP

Personal Author(s):

Report Date:

1973-01-01

Pagination or Media Count:

30.0

Abstract:

The paper treats the nonlinear, two-point boundary-value problem formulated by Holt for relatively large values of the final time tau, namely, tau 11.3, tau 13.3, and tau 20.0. Computationally speaking, this is a difficult problem, owing to the fact that the Jacobian matrix is characterized by relatively large positve eigenvalues. The resulting numerical difficulties are reduced by treating the two-point boundary-value problem as a multipoint boundary-value problem. The modified quasilinearization algorithm of previous papers is employed. This approach bypasses the integration of the nonlinear equations, which characterizes shooting methods. Modified author abstract

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE