Difference Schemes with Fourth Order Accuracy for Hyperbolic Equations.

Abstract

Two explicit finite difference schemes of fourth order accuracy (in space and time) are presented for the numerical solution of quasi-linear divergence free one dimensional hyperbolic systems. Both of these schemes are four step methods, one being a two level scheme, the other using three levels. These algorithms are compared in numerical examples with both second order schemes and with the DREISS-OLIGER method which is fourth order in space and second order in time. The results show that it is most advantageous to use the true fourth order schemes. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1974
Accession Number
ADA000394

Entities

People

  • D. Gottlieb
  • E. Turkel
  • S. Abarbanel

Organizations

  • Tel Aviv University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Cooperation
  • Equations
  • Massachusetts
  • Mathematics

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space