Дослідження стійкості спектрального методу визначення розподілу тиску вздовж трубопроводу в нестаціонарному випадку в базисі біортогональних поліномів

In this paper on the basis of constructed biorthogonal polynomials authors investigated the stabilityof the proposed method for solving problems of mathematical physics, in particular forcalculating unsteady gas flow in pipelines. The way of the problem solving is investigated by themethod of separa...

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Bibliographic Details
Date:2018
Main Authors: П’янило, Ярослав, Собко, Валентина
Format: Article
Language:Ukrainian
Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2018
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Online Access:https://www.fmmit.lviv.ua/index.php/fmmit/article/view/44
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Journal Title:Physico-mathematical modeling and informational technologies

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Physico-mathematical modeling and informational technologies
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Summary:In this paper on the basis of constructed biorthogonal polynomials authors investigated the stabilityof the proposed method for solving problems of mathematical physics, in particular forcalculating unsteady gas flow in pipelines. The way of the problem solving is investigated by themethod of separation of variables in the basis of biorthogonal polynomials. The solution of the problemis constructed as a sum of a series of biorthogonal and quasispectral polynomials. The comparativeanalysis of the solution is carried out for different values of the input parameters. Theinfluence of the method parameters, including the order of partial sum, the functional grid, andthe error of calculations on the accuracy of obtained solution is studied. The calculation resultsare presented in the form of tables.