Accession Number : AD0772558

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

Corporate Author : RICE UNIV HOUSTON TEX AERO-ASTRONAUTICS GROUP

Personal Author(s) : Aggarwal,A. K.

Report Date : 1973

Pagination or Media Count : 30

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)

Descriptors :   *Boundary value problems, Computations, Eigenvectors, Numerical integration, Matrices(Mathematics), Tables(Data), Computer applications, Nonlinear differential equations

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE