Relation between the Time and Space Step-Sizes in Nonstandard Finite-Difference Schemes for the Fisher Equation

Numerical Methods for Partial Differential Equations

Volumn 13, Issue 1, 1997, Pages 51-55

  Mickens, Ronald E ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008515570     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2426(199701)13:1<51::AID-NUM4>3.0.CO;2-L     Document Type: Article

References (9)

1. F. B. Hildebrand, Finite-Difference Equations and Simulations, Prentice-Hall, Englewood Cliffs, 1968.
2. A. R. Mitchell and D. F. Griffiths, Finite-Difference Methods in Partial Differential Equations, Wiley, New York, 1980.
3. D. Greenspan and V. Casulli, Numerical Analysis for Applied Mathematics, Science, and Engineering, Addison-Wesley, New York, 1988. See Section 7.3.
4. M. Shashkov, Conservative Finite-Difference Methods on General Grids, CRC Press, New York, 1996. See Chapter 4, Section 1.5.
5. R. E. Mickens, Nonstandard Finite Difference Models of Differential Equations, World Scientific, Singapore, 1994.
6. R. E. Mickens, "Relations between the time and space step-sizes for finite-difference models for PDE's," J. Appl. Sci. Comput. 1, 520 (1995).
7. R. E. Mickens, "A best finite-difference scheme for the Fisher equation," Numer. Methods Partial Diff. Eq. 10, 581 (1994).
8. R. A. Fisher, "The wave of advance of advantageous genes," Ann. of Eugen. 7, 355 (1936).
9. J. David Logan, Nonlinear Differential Equations, Wiley-Interscience, New York, 1994. See Section 4.4.