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

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)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0664550

Entities

People

  • Harriet H. Kagiwada
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Cauchy Problem
  • Conversion
  • Differential Equations
  • Dynamics
  • Equations
  • Gas Dynamics
  • Mathematics
  • Radiative Transfer
  • Validation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis