Solution representation for a linear gas flow model in pipeline

Журнал Белорусского государственного университета: Математика, информатика

Michael P. Dymkov¹ 

[1] Belarus State Economic University, 26 Partyzanski Аvenue, Minsk 220070, Belarus;

关键词: linear partial differential equations;    multi-parametric integral transformations;    frequency domain;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown