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Discontinuous-continuous Galerkin methods for population diffusion with finite life span

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  • Mi-Young Kim
  • Tsendayush Selenge

Abstract

Discontinuous-continuous Galerkin methods approximate the solution to a population diffusion model with finite life span. The regularity of the solution depends on mortality; it decreases when mortality is high enough. The numerical solution has strong stability and a priori error estimates are obtained away from the region where the solution is not smooth. The error estimates are optimal in order and in regularity. The matrix Eq. (20) from the discretization satisfies the nonstagnation condition for generalized minimal residual method. Several numerical examples are presented.

Suggested Citation

  • Mi-Young Kim & Tsendayush Selenge, 2016. "Discontinuous-continuous Galerkin methods for population diffusion with finite life span," Mathematical Population Studies, Taylor & Francis Journals, vol. 23(1), pages 17-36, January.
    • Handle: RePEc:taf:mpopst:v:23:y:2016:i:1:p:17-36
    DOI: 10.1080/08898480.2013.836428
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    References listed on IDEAS

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    1. Fabio Milner & Ruijun Zhao, 2008. "S-I-R Model with Directed Spatial Diffusion," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(3), pages 160-181.
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