Explicit difference schemes for nonlinear differential functional parabolic equations with time dependent coefficients—convergence analysis
Volume 88 / 2006
Annales Polonici Mathematici 88 (2006), 97-111
MSC: Primary 35R10; Secondary 65M06, 65M12, 35K15.
DOI: 10.4064/ap88-2-1
Abstract
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.
