Geodesic
A collocation method and its application for solving the linearized Holway equation
Matematičeskoe modelirovanie, Tome 32 (2020) no. 9, pp. 3-19

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The article proposes a method for solving the linearized ellipsoidal statistical equation of Holway in the framework of the classical problem of the flow of a rarefied gas between two parallel planes. To approximate the desired solution, we use the expansion of the function in a series according to Chebyshev polynomials of the first kind for each variable. The Holway model kinetic equation by the collocation method is reduced to a linear matrix equation. The values of mass and heat flows of gas are calculated.
Keywords: rarefied gas, kinetic equation, ES-model, collocation method. 
@article{MM_2020_32_9_a0,
     author = {O. V. Germider and V. N. Popov},
     title = {A collocation method and its application for solving the linearized {Holway} equation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--19},
     publisher = {mathdoc},
     volume = {32},
     number = {9},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2020_32_9_a0/}
}
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O. V. Germider; V. N. Popov. A collocation method and its application for solving the linearized Holway equation. Matematičeskoe modelirovanie, Tome 32 (2020) no. 9, pp. 3-19. http://geodesic.mathdoc.fr/item/MM_2020_32_9_a0/