A numerical method is proposed to approximate the solution of a nonlinear and nonlocal system of integro-differential equations describing age-dependent population dynamics with spatial diffusion. We use a finite difference method along the characteristic age-time direction combined with finite elem
Age-time continuous Galerkin methods for a model of population dynamics
β Scribed by Mi-Young Kim; Tsendauysh Selenge
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 646 KB
- Volume
- 223
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
Continuous Galerkin finite element methods in the age-time domain are proposed to approximate the solution to the model of population dynamics with unbounded mortality (coefficient) function. Stability of the method is established and a priori L 2error estimates are obtained. Treatment of the nonlocal boundary condition is straightforward in this framework. The approximate solution is computed strip by strip marching in time. Some numerical examples are presented.
π SIMILAR VOLUMES
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