ON THE COMPUTATIONAL SOLUTION OF TWO-POINT BOUNDARY-VALUE PROBLEMS

Abstract

Two-point boundary-value problems for second-order systems of linear differential equations are usually solved by a process involving the inversion of a certain matrix. If the system is too large, it may be difficult to compute this inverse to a high degree of accuracy. The purpose of this paper is to demonstrate that this difficulty can in some cases be circumvented by applying a method like that of Bodewig and Hotelling.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1964
Accession Number
AD0436753

Entities

People

  • Richard E. Bellman
  • Thomas A. Brown

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Calculus
  • Differential Equations
  • Eigenvalues
  • Equations
  • Formulas (Mathematics)
  • Government Procurement
  • Governments
  • Linear Differential Equations
  • Mathematics
  • New York
  • Numerical Analysis
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Regression Analysis.