Derivation and Validation of an Initial-Value Method for Certain Nonlinear Two-Point Boundary-Value Problems.

by H. H. Natsuyama, Robert E. Kalaba


Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback-245 pages $20.00 $16.00 20% Web Discount

Much of the theory of invariant imbedding is devoted to the conversion of boundary-value problems into initial-value (Cauchy) problems because of the computational advantages offered by the initial-value formulation. This study describes a technique for transforming a nonlinear two-point boundary-value problem into an initial-value problem and shows, conversely, that the solution of the Cauchy problem does satisfy the original boundary-value problem. The technique given is broad enough to cover many of the equations of radiative transfer, dilute gas dynamics, and optimal control. 17 pp. Refs.

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.