Error estimates of a fully discrete linear approximation scheme for Stefan problem.
Handlovičová, Angela (1996)
Acta Mathematica Universitatis Comenianae. New Series
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Handlovičová, Angela (1996)
Acta Mathematica Universitatis Comenianae. New Series
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Handlovičová, A. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Jozef Kacur, Roger Van Keer (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A new approximation scheme is presented for the mathematical model of convection-diffusion and adsorption. The method is based on the relaxation method and the method of characteristics. We prove the convergence of the method and present some numerical experiments in 1D. The results can be applied to the model of contaminant transport in porous media with multi-site, equilibrium and non-equilibrium type of adsorption.
Merazga, Nabil, Bouziani, Abdelfatah (2003)
Abstract and Applied Analysis
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Jozef Kačur (1978)
Czechoslovak Mathematical Journal
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Jemal Peradze (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The initial boundary value problem for a beam is considered in the Timoshenko model. Assuming the analyticity of the initial conditions, it is proved that the problem is solvable throughout the time interval. After that, a numerical algorithm, consisting of three steps, is constructed. The solution is approximated with respect to the spatial and time variables using the Galerkin method and a Crank–Nicholson type scheme. The system of equations obtained by discretization is solved by...
Komil Kuliev, Lars-Erik Persson (2007)
Applications of Mathematics
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In this paper Rothe’s classical method is extended so that it can be used to solve some linear parabolic boundary value problems in non-cylindrical domains. The corresponding existence and uniqueness theorems are proved and some further results and generalizations are discussed and applied.
Ján Lovíšek (2003)
Applications of Mathematics
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A class of parabolic initial-boundary value problems is considered, where admissible coefficients are given in certain intervals. We are looking for maximal values of the solution with respect to the set of admissible coefficients. We give the abstract general scheme, proposing how to solve such problems with uncertain data. We formulate a general maximization problem and prove its solvability, provided all fundamental assumptions are fulfilled. We apply the theory to certain Fourier...