Method of difference inequalities for parabolic equations with mixed derivatives
A. Fitzke (1975)
Annales Polonici Mathematici
Similarity:
A. Fitzke (1975)
Annales Polonici Mathematici
Similarity:
J. Szarski (1973)
Annales Polonici Mathematici
Similarity:
A. Voigt (1979)
Numerische Mathematik
Similarity:
Roman Ciarski (2004)
Annales Polonici Mathematici
Similarity:
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.
Milena Netka (2011)
Annales Polonici Mathematici
Similarity:
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.
Vladimír Ďurikovič (1979)
Annales Polonici Mathematici
Similarity:
J. jr. DOUGLAS (1960)
Numerische Mathematik
Similarity:
H. Ugowski (1971)
Annales Polonici Mathematici
Similarity:
Bouziani, Abdelfatah (2000)
Journal of Applied Mathematics and Stochastic Analysis
Similarity:
P. Besala (1963)
Colloquium Mathematicae
Similarity:
Serge Blancher, René Creff, Gérard Gagneux, Bruno Lacabanne, François Montel, David Trujillo (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
Our aim here is to study the thermal diffusion phenomenon in a forced convective flow. A system of nonlinear parabolic equations governs the evolution of the mass fractions in multicomponent mixtures. Some existence and uniqueness results are given under suitable conditions on state functions. Then, we present a numerical scheme based on a "mixed finite element"method adapted to a finite volume scheme, of which we give numerical analysis. In a last part, we apply an homogenization technique...
A. Fitzke (1970)
Annales Polonici Mathematici
Similarity:
H. Ugowski (1972)
Annales Polonici Mathematici
Similarity:
J. Murzewski, A. Sowa (1972)
Applicationes Mathematicae
Similarity: