Non-standard Discretization Methods for Some Biological Models
- 07 Sep 2000
- Academic staff's Published Research - Mathematics - Fawzi Dannan
| Author | H Al-Kahby, Fozi M Dannan and Saber Elaydi |
| Published in | Applications of nonstandard finite difference schemes, World Scientific, Singapore, 2000 |
| Abstract | It has been observed for some time that the standard (classical) discretization methods of differential equations often produce difference equations that do not share their dynamics. This chapter concerns itself with those numerical schemes that produce difference equations whose dynamics resembles that of their continuous counterparts. The most fruitful methods are those of Mickens [29] (for asymptotically stable systems) and of Kahan [16] (for periodic systems). |
| Link to read full paper |
