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A VARIABLE TIME STEP METHOD F R AN AGE-DEPENDENT POPULATION MODEL WITH NONLINEAR DIFFUSION.
- Source :
-
SIAM Journal on Numerical Analysis . 2000, Vol. 37 Issue 5, p1571-1589. 19p. - Publication Year :
- 2000
-
Abstract
- We propose a method for solving a model of age-dependent population diffusion with random dispersal. This method, unlike previous methods, allows for variable time steps and indepen- dent age and time discretizations. We use a moving age discretization that transforms the problem to a coupled system of parabolic equations. The system is then solved by backward differences in time and a Galerkin approximation in space; the equations that need to be solved at each step treat each age group separately. A priori L2 error estimates are obtained by an energy analysis. These estimates are superconvergent in the age variable. We present a postprocessing technique which capitalizes on the superconvergence. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361429
- Volume :
- 37
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Numerical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 13215987
- Full Text :
- https://doi.org/10.1137/S003614299733010X