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Numerical approximations of parabolic differential functional equations with the initial boundary conditions of the Neumann type

Volume 84 / 2004

Roman Ciarski Annales Polonici Mathematici 84 (2004), 103-119 MSC: Primary 65M12; Secondary 35R10. DOI: 10.4064/ap84-2-2

Abstract

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.

Authors

  • Roman CiarskiInstitute of Mathematics
    University of Gdańsk
    Wita Stwosza 57
    80-952 Gdańsk, Poland
    e-mail

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