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Труды Института механики им. Р.Р. Мавлютова
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Proceedings of the Mavlyutov Institute of Mechanics


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Filimonov M.Yu. Application of the special series method for representing solutions of the equation of nonstationary gas flows Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 5 (2007). 301–306.
2007. Vol. 5. Issue 1, Pp. 301–306
URL: http://proc.uimech.org/uim2007.1.039,en
DOI: 10.21662/uim2007.1.039
Application of the special series method for representing solutions of the equation of nonstationary gas flows
Filimonov M.Yu.
Institute of Mathematics and Mechanics of UrB RAS, Ekaterinburg

Abstract

For the Lin-Reissner-Tsien equation describing nonstationary transonic gas flows, solutions are constructed in the form of special power series in specially chosen functions. Such a choice of functions makes it possible to find the coefficients of the series by sequential solving both ordinary linear differential equations and linear partial differential equations. The convergence of the constructed series is investigated.

Keywords

method of special series,
analytical methods,
non-stationary transonic flows of gas