Third and Fourth Order Accuracy Schemes for Two Dimensional Hyperbolic Equations

Third and Fourth Order Accuracy Schemes for Two Dimensional Hyperbolic Equations

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 are us...

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Bibliographische Detailangaben
Hauptverfasser: Zwas,Gideon, Abarbanel,Saul
Format: Report
Sprache:eng
Schlagworte:
APPROXIMATION(MATHEMATICS)
BOUNDARY VALUE PROBLEMS
COMPUTER PROGRAMMING
Computer Programming and Software
DIFFERENCE EQUATIONS
EFFICIENCY
FINITE DIFFERENCE THEORY
HYPERBOLIC DIFFERENTIAL EQUATIONS
ISRAEL
NUMERICAL ANALYSIS
NUMERICAL INTEGRATION
Numerical Mathematics
PARTIAL DIFFERENTIAL EQUATIONS
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Beschreibung
Zusammenfassung: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 are used 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. (Author)