Displaying similar documents to “Solution of a transmission problem for semilinear parabolic-hyperbolic equations by the time-discretization method.”

An extension of Rothe's method to non-cylindrical domains

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.

Analysis and numerical approximation of a parabolic-hyperbolic transmission problem

Boško Jovanović, Lubin Vulkov (2012)

Open Mathematics

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In this paper we investigate a mixed parabolic-hyperbolic initial boundary value problem in two disconnected intervals with Robin-Dirichlet conjugation conditions. A finite difference scheme approximating this problem is proposed and analyzed. An estimate of the convergence rate is obtained.