Accession Number : AD0736954

Title :   Third and Fourth Order Accuracy Schemes for Two Dimensional Hyperbolic Equations,

Corporate Author : TEL-AVIV UNIV (ISRAEL) DEPT OF MATHEMATICAL SCIENCES

Personal Author(s) : Zwas,Gideon ; Abarbanel,Saul

Report Date : FEB 1971

Pagination or Media Count : 30

Abstract : 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)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, *COMPUTER PROGRAMMING), (*BOUNDARY VALUE PROBLEMS, NUMERICAL INTEGRATION), DIFFERENCE EQUATIONS, APPROXIMATION(MATHEMATICS), NUMERICAL ANALYSIS, EFFICIENCY, ISRAEL

Subject Categories : Numerical Mathematics
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE