Convergence of a difference method for a system of first order partial differential equations of hyperbolic type
Stefan Bal (1974)
Annales Polonici Mathematici
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Displaying similar documents to “A difference method for certain hyperbolic systems of non-linear partial differential equations of the first order”
Convergence of a difference method for a system of first order partial differential equations of hyperbolic type
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Nonclassical problems for the second order hyperbolic equations.
Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Colloquium Mathematicae
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Annales Polonici Mathematici
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Numerical Solution of Systems of Quasilinear Hyperbolic Differential Equations by Means of the Method of Nebencharacteristics in Combination with Extrapolation Methods.
W. WERNER (1968)
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R. Krasnodębski (1970)
Colloquium Mathematicae
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A hyperbolic model of chemotaxis on a network: a numerical study
G. Bretti, R. Natalini, M. Ribot (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper we deal with a semilinear hyperbolic chemotaxis model in one space dimension evolving on a network, with suitable transmission conditions at nodes. This framework is motivated by tissue-engineering scaffolds used for improving wound healing. We introduce a numerical scheme, which guarantees global mass densities conservation. Moreover our scheme is able to yield a correct approximation of the effects of the source term at equilibrium. Several numerical tests are presented...
Numerical Solution of a Hyperbolic Free Boundary Problem with a Method of Characteristics.
M. Brokate (1985)
Numerische Mathematik
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