Convergence of the method of lines for parabolic differential-functional equations
Parabolic differential-functional equations with initial-boundary conditions of the Dirichlet type are studied. Spatial derivatives occurring in the original problems are replaced by suitable differences and the problem is transformed into an initial-boundary value problem for a system of ordinary differential-functional equations. The Perron type estimation for the right hand side of the original equation with respect to the functional argument is assumed.
Barbara Zubik-Kowal. "Convergence of the method of lines for parabolic differential-functional equations" Advances in difference equations. Amsterdam: Gordon and Breach, 1997.
This document is currently not available here.