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

Abdelouahab Kadem and Adem Kilicman

Abstract and Applied Analysis, 2010, vol. 2010, 1-13

Abstract:

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:704168

DOI: 10.1155/2010/704168

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