Some Numerical Results on Holt's Two-Point Boundary-Value Problem,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1973
- Accession Number
- AD0772558
Entities
People
- A. K. Aggarwal
Organizations
- Rice University