Note on the Solution of Transport Equation by Tau Method and Walsh Functions

Abstract EN

We consider the combined Walsh function for the three-dimensional case.

A method for the solution of the neutron transport equation in three-dimensional case by using the Walsh function, Chebyshev polynomials, and the Legendre polynomials are considered.

We also present Tau method, and it was proved that it is a good approximate to exact solutions.

This method is based on expansion of the angular flux in a truncated series of Walsh function in the angular variable.

The main characteristic of this technique is that it reduces the problems to those of solving a system of algebraic equations; thus, it is greatly simplifying the problem.