Geodesic
Implicit difference methods for quasilinear parabolic functional differential problems of the Dirichlet type
K. Kropielnicka1
1 Institute of Mathematics University of Gdańsk Wit Stwosz St. 57 80-952 Gdańsk, Poland
Applicationes Mathematicae, Tome 35 (2008) no. 2, pp. 155-175 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Classical solutions of quasilinear functional differential equations are approximated with solutions of implicit difference schemes. Proofs of convergence of the difference methods are 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/am35-2-3
Keywords: classical solutions quasilinear functional differential equations approximated solutions implicit difference schemes proofs convergence difference methods 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 Wit Stwosz St. 57 80-952 Gdańsk, Poland 
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K. Kropielnicka. Implicit difference methods for quasilinear
 parabolic functional differential problems
 of the Dirichlet type. Applicationes Mathematicae, Tome 35 (2008) no. 2, pp. 155-175. doi: 10.4064/am35-2-3

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