The aim of this paper is to present a numerical approximation for quasilinear parabolic differential functional equations with initial boundary conditions of the Neumann type. The convergence result is proved for a difference scheme with the property that the difference operators approximating mixed derivatives depend on the local properties of the coefficients of the differential equation. A numerical example is given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-2-2,
author = {Roman Ciarski},
title = {Numerical approximations of parabolic differential functional equations with the initial boundary conditions of the Neumann type},
journal = {Annales Polonici Mathematici},
volume = {83},
year = {2004},
pages = {103-119},
zbl = {1099.65068},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-2-2}
}
Roman Ciarski. Numerical approximations of parabolic differential functional equations with the initial boundary conditions of the Neumann type. Annales Polonici Mathematici, Tome 83 (2004) pp. 103-119. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap84-2-2/