The Numerical Solution of Boundary Value Problems for Second Order Functional Differential Equations by Finite Differences.

Abstract

The boundary value problem x double prime (t) = g(t,x(t)) + (kappa x)(t), 0 < t < 1, x(0) = x(1) = 0, is considered. Here g : (R sup 2)(arrow)(R sup 1) and kappa : rho(0,1) (arrow) rho(0,1). The solution x is approximated using finite differences. For a large class of problems it is proved that the approximate solutions exist and converge to x. The method is illustrated by the numerical example. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1971
Accession Number
AD0728399

Entities

People

  • Colin Walker Cryer

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

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

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.