Implicit difference methods for quasilinear parabolic functional differential problems of the Dirichlet type

• Autorzy: K. Kropielnicka
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35R10: Partial functional-differential equations
• 65M12: Stability and convergence of numerical methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2008
• Tom: 35
• Numer: 2
• Strony: 155-175

Daty

wydano

2008

Twórcy

autor

K. Kropielnicka

• Institute of Mathematics, University of Gdańsk, Wit Stwosz St. 57, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/am35-2-3