Article ID Journal Published Year Pages File Type
4628359 Applied Mathematics and Computation 2014 12 Pages PDF
Abstract

A parabolic transmission problem in disjoint rectangular domains is investigated. The existence and uniqueness of its weak solution is proved. A finite difference scheme approximating the problem is proposed and analyzed. An estimate of the convergence rate, compatible with the smoothness of the input data (up to a logarithmic factor of the mesh-size), is obtained.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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