Displaying similar documents to “Boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations”

Some non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type

A. Berdyshev, E. Karimov (2006)

Open Mathematics

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In this work two non-local problems for the parabolic-hyperbolic type equation with non-characteristic line of changing type are considered. Unique solvability of these problems is proven. The uniqueness of the solution is proven by the method of energy integrals and the existence is proven by the method of integral equations.

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.