Geodesic
Difference methods for parabolic functional differential problems of the Neumann type
K. Kropielnicka1
1 Institute of Mathematics University of Gdańsk 57, Wit Stwosz St. 80-952 Gdańsk, Poland
Annales Polonici Mathematici, Tome 92 (2007) no. 2, pp. 163-178 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ap92-2-5
Keywords: nonlinear parabolic functional differential equations initial boundary conditions neumann type considered general class difference methods problem constructed theorems convergence difference schemes error estimates approximate solutions presented proof stability difference functional problem based comparison technique nonlinear estimates perron type respect functional variable given functions numerical examples given

K. Kropielnicka 1

1 Institute of Mathematics University of Gdańsk 57, Wit Stwosz St. 80-952 Gdańsk, Poland 
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K. Kropielnicka. Difference methods for parabolic functional
 differential problems of the Neumann type. Annales Polonici Mathematici, Tome 92 (2007) no. 2, pp. 163-178. doi: 10.4064/ap92-2-5

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