Implicit difference schemes for mixed problems related to parabolic functional differential equations

• Autorzy: Milena Netka
• Języki publikacji: EN

Abstrakty

EN

Solutions of initial boundary value problems for parabolic functional differential equations are approximated by solutions of implicit difference schemes. The existence and uniqueness of approximate solutions is proved. The proof of the stability is based on a comparison technique with nonlinear estimates of the Perron type for given operators. It is shown that the new methods are considerably better than the explicit difference schemes. Numerical examples are presented.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 100
• Numer: 3
• Strony: 237-259

Daty

wydano

2011

Twórcy

autor

Milena Netka

• Institute of Mathematics, University of Gdańsk, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/ap100-3-3