Discontinuous Galerkin approximation of porous Fisher-Kolmogorov equations

Fausto Cavalli, G. Naldi, I. Perugia

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

Abstract

We consider the generalized porous Fisher-Kolmogorov equations, which model several phenomena in population dynamics, as well as in chemical reactions. For these equations, we present new numerical high-order schemes, based on discontinuous Galerkin space discretizations and Runge-Kutta time stepping. These methods are capable to reproduce the main properties of the analytical solutions. We present some preliminary theoretical results and provide several numerical tests.
Lingua originaleEnglish
pagine (da-a)N/A-N/A
RivistaCommunications in Applied and Industrial Mathematics
Volume4
DOI
Stato di pubblicazionePubblicato - 2013

Keywords

  • Discontinuous Galerkin method
  • Nonlinear diffusion
  • Relaxation models

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