Difference methods for parabolic functional differential problems of the Neumann type

• Autorzy: K. Kropielnicka
• Języki publikacji: EN

Abstrakty

EN

Nonlinear parabolic functional differential equations with initial boundary conditions of the Neumann type are considered. A general class of difference methods for the problem is constructed. Theorems on the convergence of difference schemes and error estimates of approximate solutions are presented. The proof of the stability of the difference functional problem is 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: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 92
• Numer: 2
• Strony: 163-178

Daty

wydano

2007

Twórcy

autor

K. Kropielnicka

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

Identyfikatory

DOI

10.4064/ap92-2-5