A collocation method and its application for solving the linearized Holway equation

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.