
Accession Number : AD0772558
Title : Some Numerical Results on Holt's TwoPoint BoundaryValue Problem,
Corporate Author : RICE UNIV HOUSTON TEX AEROASTRONAUTICS GROUP
Personal Author(s) : Aggarwal,A. K.
Report Date : 1973
Pagination or Media Count : 30
Abstract : The paper treats the nonlinear, twopoint boundaryvalue 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 twopoint boundaryvalue problem as a multipoint boundaryvalue 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