We study the initial-value problem for parabolic equations with time dependent coefficients and with nonlinear and nonlocal right-hand sides. Nonlocal terms appear in the unknown function and its gradient. We analyze convergence of explicit finite difference schemes by means of discrete fundamental solutions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-2-1,
author = {A. Poli\'nski},
title = {Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients-convergence analysis},
journal = {Annales Polonici Mathematici},
volume = {89},
year = {2006},
pages = {97-111},
zbl = {1106.65074},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-2-1}
}
A. Poliński. Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients-convergence analysis. Annales Polonici Mathematici, Tome 89 (2006) pp. 97-111. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-2-1/