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SEMINARS |
Seminar of Laboratory of Theory of Functions "Modern Problems of Complex Analysis"
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Unified transform method for the heat equation on simple open metric graph M. R. Eshimbetov National University of Uzbekistan named after M. Ulugbek, Tashkent |
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Abstract: We considered initial-boundary value problem for heat equation on simple metric graph with three semi infinite bonds. We find solution of the problem adapting so called Unified Transform Method (or Fokas method) to the case of metric graph. Exact integral representation of the solution of the considered problem is obtained. Obtained results can be used to investigate heat diffusion process in branched structures. |