期刊
KINETIC AND RELATED MODELS
卷 10, 期 3, 页码 669-688出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/krm.2017027
关键词
Structured population models; particle method; measure valued solutions; Radon measures; flat metric
资金
- International PhD Projects Programme of Foundation for Polish Science
- [IdP2011/000661]
In the following paper we reconsider a numerical scheme recently introduced in [10]. The method was designed for a wide class of size structured population models with a nonlocal term describing the birth process. Despite its numerous advantages it features the exponential growth in time of the number of particles constituting the numerical solution. We introduce a new algorithm free from this inconvenience. The improvement is based on the application the Finite Range Approximation to the nonlocal term. We prove the convergence of the derived method and provide the rate of its convergence. Moreover, the results are illustrated by numerical simulations applied to various test cases.
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