Geodesic
Ortogonal compact functions for nonlinear spatial equation of viscous transonic flow
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 70-74

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In the article the unique algorithm of construction of the system of orthogonal compact V.L. Leontev's type functions for the nonlinear spatial equation of viscous transonic flow is described by the method of Galerkin. The result of designing on corresponding subspaces is system of ordinary differential equations with a diagonal matrix.
Keywords: method of Galerkin, orthogonal Leontiev compact functions, Streng-Fix condition. 
@article{VSGU_2011_2_a6,
     author = {G. Yu. Severin},
     title = {Ortogonal compact functions for nonlinear spatial equation of viscous transonic flow},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {70--74},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_2_a6/}
}
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G. Yu. Severin. Ortogonal compact functions for nonlinear spatial equation of viscous transonic flow. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 70-74. http://geodesic.mathdoc.fr/item/VSGU_2011_2_a6/