Stability of finite difference schemes for certain problems in biology

Henryk Leszczyński; Piotr Zwierkowski

Applicationes Mathematicae (2004)

  • Volume: 31, Issue: 1, page 13-30
  • ISSN: 1233-7234

Abstract

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We consider a generalized 1-D von Foerster equation. We present two discretization methods for the initial value problem and study stability of finite difference schemes on regular meshes.

How to cite

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Henryk Leszczyński, and Piotr Zwierkowski. "Stability of finite difference schemes for certain problems in biology." Applicationes Mathematicae 31.1 (2004): 13-30. <http://eudml.org/doc/279205>.

@article{HenrykLeszczyński2004,
abstract = {We consider a generalized 1-D von Foerster equation. We present two discretization methods for the initial value problem and study stability of finite difference schemes on regular meshes.},
author = {Henryk Leszczyński, Piotr Zwierkowski},
journal = {Applicationes Mathematicae},
keywords = {von Foerster equation; forward and backward quotients; finite difference schemes; stability; consistency, trapezoidal rule; population dynamics; initial value problem; numerical examples},
language = {eng},
number = {1},
pages = {13-30},
title = {Stability of finite difference schemes for certain problems in biology},
url = {http://eudml.org/doc/279205},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Henryk Leszczyński
AU - Piotr Zwierkowski
TI - Stability of finite difference schemes for certain problems in biology
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 1
SP - 13
EP - 30
AB - We consider a generalized 1-D von Foerster equation. We present two discretization methods for the initial value problem and study stability of finite difference schemes on regular meshes.
LA - eng
KW - von Foerster equation; forward and backward quotients; finite difference schemes; stability; consistency, trapezoidal rule; population dynamics; initial value problem; numerical examples
UR - http://eudml.org/doc/279205
ER -

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