On the Numerical Solution of Singularly Perturbed Linear Two-Point Boundary-Value Problems,

Abstract

This article presents an initial-value technique, based on the use of certain compound matrices, for the numerical solution of linear two-point boundary-value problems involving unstable ordinary differential equations of the singular perturbation type. The authors demonstrate the effectiveness of the method via certain examples which exhibit internal as well as end-point boundary-layers.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1985
Accession Number
ADP004913

Entities

People

  • B. S. Ng
  • W. H. Reid

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Approximation (Mathematics)
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Differential Equations
  • Equations
  • Formulas (Mathematics)
  • Layers
  • Mathematical Analysis
  • Mathematics
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)