Implicit difference methods for quasilinear parabolic functional differential problems of the Dirichlet type
Tom 35 / 2008
Applicationes Mathematicae 35 (2008), 155-175
MSC: 65M12, 35R10.
DOI: 10.4064/am35-2-3
Streszczenie
Classical solutions of quasilinear functional differential equations are approximated with solutions of implicit difference schemes. Proofs of convergence of the difference methods are based on a comparison technique. Nonlinear estimates of the Perron type with respect to the functional variable for given functions are used. Numerical examples are given.
