Splitting methods for nonlinear models arising from population dynamics and epidemiology are described and analyzed. A backward finite differencing along the characteristic is used for the approximation. It is shown that the schemes are convergent at first-order rate in the maximum norm. The stability of the methods is discussed. Several numerical examples are presented.
Bibliographical noteFunding Information:
The authors were supported in part by a post doctoral fellowship from Universit'a di Trento (M.-Y. K.) and by G.N.A.F.A. of C.N.R. Italy (E.-J. P.).
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics