Accession Number : AD0664550

Title :   DERIVATION AND VALIDATION OF AN INITIAL-VALUE METHOD FOR CERTAIN NONLINEAR TWO-POINT BOUNDARY-VALUE PROBLEMS,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Kagiwada,H. H. ; Kalaba,R. E.

Report Date : JAN 1968

Pagination or Media Count : 17

Abstract : 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. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, PROBLEM SOLVING), (*BOUNDARY VALUE PROBLEMS, PROBLEM SOLVING), DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, CAUCHY PROBLEM, NUMERICAL INTEGRATION, GAS FLOW

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE