Multipoint Approach to the Two-Point Boundary Value Problem,

Abstract

The paper treats nonlinear, two-point boundary-value problems of the form dx/dt - phi (x,t)=0, in which the Jacobian matrix (phi sub x)(x,t) is characterized by large positive eigenvalues. The resulting numerical difficulties are reduced by treating the two-point boundary-value as a multipoint boundary-value problem. A totally finite-difference approach is employed, thus bypassing the often troublesome integration of the nonlinear equations, which characterizes shooting methods. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 08, 1972
Accession Number
AD0746693

Entities

People

  • Angelo Miele
  • J. L. Tietze
  • K. H. Well

Organizations

  • Rice University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Differential Equations
  • Eigenvalues
  • Equations
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra