Third and Fourth Order Accuracy Schemes for Two Dimensional Hyperbolic Equations

Gideon Zwas, Saul Abarbanel

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this paper the Lax-Wendroff procedure is extended to the scalar case of a two-dimensional hyperbolic conservation law. Explicit third And fourth order accuracy finite-difference operators are constructed for solving quasi-linear initial value problems. Stability conditions are obtained and utilized in numerical computations. The computational results which are presented demonstrate that large amounts of computing time and memory space are saved without loss of accuracy.

Original languageEnglish
Pages (from-to)209-223
Number of pages15
JournalInternational Journal of Computer Mathematics
Issue number1-4
StatePublished - 1972
Externally publishedYes

Bibliographical note

Funding Information:
This research has been sponsored in part by the Air Force Office of Scientific Research (NAM) through the European office of Aerospace Research, AFSC, United States Air Fmx, under Contract F 61052-69-C-0041.


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