Journal article
A variable time step method for an age-dependent population model with nonlinear diffusion
SIAM journal on numerical analysis, Vol.37(5), pp.1571-1589
2000
DOI: 10.1137/S003614299733010X
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 independent 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 L2error 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.
Details
- Title: Subtitle
- A variable time step method for an age-dependent population model with nonlinear diffusion
- Creators
- Bruce Ayati - University of Iowa, Mathematics
- Resource Type
- Journal article
- Publication Details
- SIAM journal on numerical analysis, Vol.37(5), pp.1571-1589
- DOI
- 10.1137/S003614299733010X
- ISSN
- 0036-1429
- eISSN
- 1095-7170
- Language
- English
- Date published
- 2000
- Academic Unit
- Orthopedics and Rehabilitation; Mathematics
- Record Identifier
- 9983985874502771
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