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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am31-1-3, author = {Henryk Leszczy\'nski and Piotr Zwierkowski}, title = {Stability of finite difference schemes for certain problems in biology}, journal = {Applicationes Mathematicae}, volume = {31}, year = {2004}, pages = {13-30}, zbl = {1060.65099}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-1-3} }
Henryk Leszczyński; Piotr Zwierkowski. Stability of finite difference schemes for certain problems in biology. Applicationes Mathematicae, Tome 31 (2004) pp. 13-30. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-1-3/