A NEW APPROACH OF SOLVING THE THIRD FORM OF THE TRANSPORT EQUATION IN PLANE GEOMETRY - HALF-SPACE ALBEDO-PROBLEM

摘要

In a new approach of solving the third form of the transport equation, one should consider and compare the two methods C-N and F-N. Both of the methods depend on the use of Green's function. In C-N method the Green's function obtained by the Fourier-transform technique is used to solve the system of integral equations which is provided at the boundary of the various media. In F-N method which is a modified version of C-N method. The Green's function in terms of singular eigenfunctions is used to solve the integro-differential form of the Boltzmann equation. In our approach we use the Green's function of F-N method to solve C-N equations. That is Green's function in terms of singular eigenfunctions is used to solve the system of integral equations of C-N method. As in F-N method this approach yields simple analytical equations that can be solved numerically even more efficiently than the C-N method and the convergence of the numerical results is faster than the numerical results of F-N method. [References: 9]