On the Removal of Boundary Errors Caused by Runge-Kutta Integration of Non-Linear Partial Differential Equations.

Abstract

It has been previously shown that the temporal integration of hyperbolic partial differential equations may, because of boundary conditions, lead to deterioration of accuracy of the solution. A procedure for removal of this error in the linear case has been established previously. In the present paper we consider hyperbolic p.d.e's (linear and nonlinear) whose boundary treatment is done via the SAT-procedure. A methodology is present for recovery of the full order of accuracy, and has been applied to the case of a 4th order explicit finite difference scheme.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1994
Accession Number
ADA288759

Entities

People

  • David Gottlieb
  • Mark H. Carpenter
  • Saul Abarbanel

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Accuracy
  • Aeronautics
  • Algorithms
  • Applied Mathematics
  • Boundaries
  • Computational Science
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Errors
  • Fluid Mechanics
  • Information Operations
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Pavement Materials Engineering.