Stability of forward-backward finite difference schemes for certain problems in biology

Piotr Zwierkowski

Commentationes Mathematicae (2005)

  • Volume: 45, Issue: 2
  • ISSN: 2080-1211

Abstract

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We present a discretization method for a generalized von Foerster-type equation in many spatial variables. Stability of finite difference schemes on regular meshes is studied. If characteristic curves are decreasing, there are forward difference quotients applied. Otherwise, the derivatives are replaced by backward difference quotients.

How to cite

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Piotr Zwierkowski. "Stability of forward-backward finite difference schemes for certain problems in biology." Commentationes Mathematicae 45.2 (2005): null. <http://eudml.org/doc/291880>.

@article{PiotrZwierkowski2005,
abstract = {We present a discretization method for a generalized von Foerster-type equation in many spatial variables. Stability of finite difference schemes on regular meshes is studied. If characteristic curves are decreasing, there are forward difference quotients applied. Otherwise, the derivatives are replaced by backward difference quotients.},
author = {Piotr Zwierkowski},
journal = {Commentationes Mathematicae},
keywords = {von Foerster equation; finite differences; stability},
language = {eng},
number = {2},
pages = {null},
title = {Stability of forward-backward finite difference schemes for certain problems in biology},
url = {http://eudml.org/doc/291880},
volume = {45},
year = {2005},
}

TY - JOUR
AU - Piotr Zwierkowski
TI - Stability of forward-backward finite difference schemes for certain problems in biology
JO - Commentationes Mathematicae
PY - 2005
VL - 45
IS - 2
SP - null
AB - We present a discretization method for a generalized von Foerster-type equation in many spatial variables. Stability of finite difference schemes on regular meshes is studied. If characteristic curves are decreasing, there are forward difference quotients applied. Otherwise, the derivatives are replaced by backward difference quotients.
LA - eng
KW - von Foerster equation; finite differences; stability
UR - http://eudml.org/doc/291880
ER -

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