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/