MFT-method in gas pipeline modelling

Inhalt:
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.