Geodesic
Implicit difference schemes for mixed problems related to parabolic functional differential equations
Milena Netka1
1 Institute of Mathematics University of Gdańsk 80-952 Gdańsk, Poland
Annales Polonici Mathematici, Tome 100 (2011) no. 3, pp. 237-259.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap100-3-3
Keywords: solutions initial boundary value problems parabolic functional differential equations approximated solutions implicit difference schemes existence uniqueness approximate solutions proved proof stability based comparison technique nonlinear estimates perron type given operators shown methods considerably better explicit difference schemes numerical examples presented

Milena Netka 1

1 Institute of Mathematics University of Gdańsk 80-952 Gdańsk, Poland 
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Milena Netka. Implicit difference schemes for mixed problems related to parabolic functional differential equations. Annales Polonici Mathematici, Tome 100 (2011) no. 3, pp. 237-259. doi : 10.4064/ap100-3-3. http://geodesic.mathdoc.fr/articles/10.4064/ap100-3-3/

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