A nonstandard finite-difference scheme for the Lotka-Volterra system

Applied Numerical Mathematics

Volumn 45, Issue 2-3, 2003, Pages 309-314

  Mickens, Ronald E ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; INTEGRATION; MATHEMATICAL MODELS;

LOTKA-VOLTERRA SYSTEM;

FINITE DIFFERENCE METHOD;

EID: 0037401906     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(02)00223-4     Document Type: Article

References (7)

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2. Sanz-Serna J.M. An unconventional symplectic integrator of W. Kahan. Appl. Numer. Math. 16:1994;245-250.
3. W. Kahan, Unconventional numerical methods for trajectory calculations, Unpublished lecture notes, 1993.
4. Mickens R.E. Nonstandard Finite Difference Models of Differential Equations. 1994;World Scientific, Singapore.
5. Mickens R.E. Applications of Nonstandard Finite Difference Schemes. 2000;World Scientific, Singapore.
6. Mickens R.E. The role of positivity in the construction of nonstandard finite difference schemes for PDEs. Schultz D., Wade B., Vigo-Aguiar J., Dey S.K. Proceedings of the IMACS International Conference on Scientific Computing and Mathematical Modeling. 2000;294-307 University of Wisconsin-Milwaukee, Milwaukee, WI.
7. Al-Kahby H., Dannan F., Elaydi S. Non-standard discretization methods for some biological models. Mickens R.E. Applications of Nonstandard Finite Difference Schemes. 2000;155-180 World Scientific, Singapore.