Application of Method of Special Series for Representation of Solutions Describing Stationary Gas Flow

[摘要] A method of special series with recurrently computed coefficients is considered for solutions of nonlinear partial differential equations. To represent solutions of equation of velocity potential for stationary gas flows the series by the powers of special functions, which provide the recurrent coefficients determining from a sequence of linear differential equations. This makes possible to investigate the convergence of the series, and the functional arbitrariness allows to solve problem of internal flows in a nozzles.

[发布机构] Ural Federal University, Yekaterinburg, Russia^1;Institute of Mathematics and Mechanics of UrB RAS, Yekaterinburg, Russia^2

[效力级别] 化学

[关键词] Internal flows;Linear differential equation;Nonlinear partial differential equations;Solutions of equation;Special functions;Velocity potentials