Exact finite difference schemes for two-dimensional advection equations

Journal of Sound and Vibration

Volumn 207, Issue 3, 1997, Pages 426-428

  Mickens, R E ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS;

ADVECTION EQUATIONS;

ACOUSTICS;

EID: 0031247459     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1160     Document Type: Editorial

References (10)

1. R. T. BEYER 1974 Nonlinear Acoustics. Washington, DC: Naval Ship Systems Command, U.S. Department of the Navy.
2. R. PEYRET and T. D. TAYLOR 1983 Computational Methods for Fluid Flow. New York: Springer-Verlag.
3. G. B. WHITHAM 1974 Linear and Nonlinear Waves. New York: Wiley-Interscience.
4. D. GREENSPAN and V. CASULLI 1988 Numerical Analysis for Applied Mathematics, Science, and Engineering. Redwood City, California: Addison-Wesley.
5. D. Potter 1973 Computational Physics. New York: Wiley-Interscience.
6. R. E. MICKENS 1990 Journal of Sound and Vibration 142, 536-539. A discrete model of a modified Burgers' partial differential equation.
7. R. E. MICKENS 1991 Journal of Sound and Vibration 146, 342-344. Analysis of a new finite difference scheme for the linear advection diffusion equation.
8. R. E. MICKENS 1994 Nonstandard Finite Difference Models of Differential Equations. River Edge, New Jersey: World Scientific.
9. E. ZAUDERER 1983 Partial Differential Equations of Applied Mathematics. New York: Wiley-Interscience.
10. J. W. GOODRICH 1983 NASA Technical Memorandum 106454. Cleveland, Ohio: Lewis Research Center. Applications of a new high order finite difference scheme to acoustic propagation with the linearized Euler equation.