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Henryk Leszczyński, Piotr Zwierkowski (2004)
Applicationes Mathematicae
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We consider a generalized 1-D von Foerster equation. We present two discretization methods for the initial value problem and study stability of finite difference schemes on regular meshes.
T. Lewiński (1984)
Applicationes Mathematicae
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Illner, R., Rjasanow, S. (1999)
Documenta Mathematica
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Deqiong Ding, Qiang Ma, Xiaohua Ding (2014)
International Journal of Applied Mathematics and Computer Science
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Bradul, Nataliya, Shaikhet, Leonid (2007)
Discrete Dynamics in Nature and Society
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Borisov, Milen, Dimitrova, Neli, Krastanov, Mikhail (2017)
Serdica Journal of Computing
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We study a nonlinear functional differential model of an anaerobic digestion process of wastewater treatment with biogas production. The model equations of biomass include two different discrete time delays. A mathematical analysis of the model is completed including existence and local stability of nontrivial equilibrium points, existence and boundedness of the model solutions as well as global stabilizability towards an admissible equilibrium point. We propose and apply a numerical...
Andreas Veeser (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The stability of flat interfaces with respect to a spatial semidiscretization of a solidification model is analyzed. The considered model is the quasi-static approximation of the Stefan problem with dynamical Gibbs–Thomson law. The stability analysis bases on an argument developed by Mullins and Sekerka for the undiscretized case. The obtained stability properties differ from those with respect to the quasi-static model for certain parameter values and relatively coarse meshes....
J. Wierzejewski (1976)
Colloquium Mathematicae
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