Discontinuous Galerkin approximation of porous Fisher-Kolmogorov equations

G. Naldi; Fausto Cavalli; I. Perugia

doi:10.1685/journal.caim.446

Discontinuous Galerkin approximation of porous Fisher-Kolmogorov equations

G. Naldi, Fausto Cavalli, I. Perugia

Università Cattolica del Sacro Cuore

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer 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 originale	English
pagine (da-a)	N/A-N/A
Rivista	Communications in Applied and Industrial Mathematics
Volume	4
DOI	https://doi.org/10.1685/journal.caim.446
Stato di pubblicazione	Pubblicato - 2013

Keywords

Discontinuous Galerkin method
Nonlinear diffusion
Relaxation models

Accesso al documento

10.1685/journal.caim.446

Altri file e collegamenti

Link a IRIS PubliCatt

Cita questo

@article{2a1465f6a3bc4edb9e5d3e9f6794687c,

title = "Discontinuous Galerkin approximation of porous Fisher-Kolmogorov equations",

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.",

keywords = "Discontinuous Galerkin method, Nonlinear diffusion, Relaxation models, Discontinuous Galerkin method, Nonlinear diffusion, Relaxation models",

author = "G. Naldi and Fausto Cavalli and I. Perugia",

year = "2013",

doi = "10.1685/journal.caim.446",

language = "English",

volume = "4",

pages = "N/A--N/A",

journal = "Communications in Applied and Industrial Mathematics",

issn = "2038-0909",

publisher = "de Gruyter",

}

TY - JOUR

T1 - Discontinuous Galerkin approximation of porous Fisher-Kolmogorov equations

AU - Naldi, G.

AU - Cavalli, Fausto

AU - Perugia, I.

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Discontinuous Galerkin method

KW - Nonlinear diffusion

KW - Relaxation models

KW - Discontinuous Galerkin method

KW - Nonlinear diffusion

KW - Relaxation models

UR - http://hdl.handle.net/10807/85482

U2 - 10.1685/journal.caim.446

DO - 10.1685/journal.caim.446

M3 - Article

SN - 2038-0909

VL - 4

SP - N/A-N/A

JO - Communications in Applied and Industrial Mathematics

JF - Communications in Applied and Industrial Mathematics

ER -

Discontinuous Galerkin approximation of porous Fisher-Kolmogorov equations

Abstract

Keywords

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo