Solution representation for a linear gas flow model in pipeline

  • Michael P. Dymkov Belarus State Economic University, 26 Partyzanski Аvenue, Minsk 220070, Belarus

Abstract

The canonical system formed the eigenfunctions and associated eigenfunctions for the underlying operator and the adjoint operator is obtained for the linear partial differential equations generating by transient gas flow in pipeline. The new multi-parametric integral transformations for the space variable based on the given canonical system are introduced which together Laplace transformation with respect to the time variable turn the initial boundary value problems into algebraic equations in the frequency domain. Also, the inverse multi-parametric integral transformations are given on the base of which the solution of the considered problem can be represented in the original variables.

Author Biography

Michael P. Dymkov, Belarus State Economic University, 26 Partyzanski Аvenue, Minsk 220070, Belarus

doctor of science (physics and mathematics), full professor; head of the department of higher mathematics, faculty of accounting and economics

References

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Published
2018-02-14
Keywords: linear partial differential equations, multi-parametric integral transformations, frequency domain
How to Cite
Dymkov, M. P. (2018). Solution representation for a linear gas flow model in pipeline. Journal of the Belarusian State University. Mathematics and Informatics, 3, 27-37. Retrieved from https://journals.bsu.by/index.php/mathematics/article/view/755
Issue
No 3 (2017): Journal of the Belarusian State University. Mathematics and Informatics
Section
Mathematical Physics

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