MFT-method in gas pipeline modelling
Conference: nDS '13 - Proceedings of the 8th International Workshop on Multidimensional Systems
09/09/2013 - 09/11/2013 at Erlangen, Deutschland
Proceedings: nDS '13
Pages: 6Language: englishTyp: PDF
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Authors:
Dymkov, Michael (Department of Higher Mathematics, Belarus State Economic University, Partizanskii, 26, 220070 Minsk, Belarus)
Dymkou, Vitali (Friedbergstr 4, 45147 Essen, Germany)
Abstract:
Some types of PDEs can be treated as a continues versions of discrete n-D models and, hence, the development of the adequate methods for solutions of such PDEs is actual. In the paper we consider a new approach for solution of PDE’s generating by transient gas flow networks of pipelines. In particular, the fundamental solution representation for the considered problem is based on exploiting the so-called canonical system formed by the collection of the eigenfunctions for the underlying operator and its adjoint. The main objective is to present a new approach to construct then the parallel numerical method which meets the suitable accuracy and relatively small computation time.