Implicit difference methods for quasilinear parabolic functional differential problems of the Dirichlet type
K. Kropielnicka
Applicationes Mathematicae, Tome 35 (2008), p. 155-175 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:279948 
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     year = {2008},
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K. Kropielnicka. Implicit difference methods for quasilinear parabolic functional differential problems of the Dirichlet type. Applicationes Mathematicae, Tome 35 (2008) pp. 155-175. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am35-2-3/