Effect of Discontinuous Boundary Conditions on Finite-Difference Solutions.

Abstract

If one is solving a Laplace differential equation by the standard 5-point or 9-point difference approximation, a discontinuity of the boundary values will cause the approximate solution to be in error in the interior. The amount and nature of these errors is discussed, and it is shown that a properly chosen 9-point approximation yields greater accuracy than a 5-point approximation for certain problems of this type.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1975
Accession Number
ADA016348

Entities

People

  • J. Barkley Rosser

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Differential Equations
  • Discontinuities
  • Equations
  • Errors
  • Standards

Fields of Study

  • Mathematics

Readers

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