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2010 Note on the Solution of Transport Equation by Tau Method and Walsh Functions
Abdelouahab Kadem, Adem Kilicman
Abstr. Appl. Anal. 2010: 1-13 (2010). DOI: 10.1155/2010/704168


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.


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Abdelouahab Kadem. Adem Kilicman. "Note on the Solution of Transport Equation by Tau Method and Walsh Functions." Abstr. Appl. Anal. 2010 1 - 13, 2010.


Published: 2010
First available in Project Euclid: 12 August 2011

zbMATH: 1221.35021
MathSciNet: MR2754195
Digital Object Identifier: 10.1155/2010/704168

Rights: Copyright © 2010 Hindawi

Vol.2010 • 2010
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