Geodesic
Numerical approximations of parabolic differential functional equations with the initial boundary conditions of the Neumann type
Roman Ciarski1
1 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland
Annales Polonici Mathematici, Tome 84 (2004) no. 2, pp. 103-119.

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

The aim of this paper is to present a numerical approximation for quasilinear parabolic differential functional equations with initial boundary conditions of the Neumann type. The convergence result is proved for a difference scheme with the property that the difference operators approximating mixed derivatives depend on the local properties of the coefficients of the differential equation. A numerical example is given.
DOI : 10.4064/ap84-2-2
Keywords: paper present numerical approximation quasilinear parabolic differential functional equations initial boundary conditions neumann type convergence result proved difference scheme property difference operators approximating mixed derivatives depend local properties coefficients differential equation numerical example given

Roman Ciarski 1

1 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland 
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Roman Ciarski. Numerical approximations
 of parabolic differential functional equations
 with the initial boundary conditions of the Neumann type. Annales Polonici Mathematici, Tome 84 (2004) no. 2, pp. 103-119. doi : 10.4064/ap84-2-2. http://geodesic.mathdoc.fr/articles/10.4064/ap84-2-2/

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