ON THE CONVERGENCE OF FINITE-DIFFERENCE APPROXIMATIONS TO ONE-DIMENSIONAL SINGULAR BOUNDARY-VALUE PROBLEMS.

Abstract

Consider a linear ordinary differential equation of the 2nd order which has a singularity at the origin; according to the nature of this singularity we must consider either the two-point boundary-value problem or the one-point boundary-value problem. Finite-difference schemes are studied; results are given concerning error analysis and monotone convergence. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1968
Accession Number
AD0679478

Entities

People

  • Pierre Jamet

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • Equations
  • Error Analysis
  • Errors
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

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