Open AccessORTOGONAL COMPACT FUNCTIONS FOR NONLINEAR SPATIAL EQUATION OF VISCOUS TRANSONIC FLOW
Author(s) -
G.Yu. Sewerin
Publication year - 2011
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2011-17-2-70-74
Subject(s) - transonic , mathematics , galerkin method , linear subspace , diagonal , nonlinear system , flow (mathematics) , ordinary differential equation , mathematical analysis , diagonal matrix , differential equation , geometry , physics , mechanics , aerodynamics , quantum mechanics
In the article the unique algorithm of construction of the system of orthogonal compact V.L. Leontev’s type functions for the nonlinear spatial equationof viscous transonic flow is described by the method of Galerkin. The result ofdesigning on corresponding subspaces is system of ordinary differential equationswith a diagonal matrix.