Abstract and Applied Analysis

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

Abdelouahab Kadem and Adem Kilicman

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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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Abstr. Appl. Anal., Volume 2010 (2010), Article ID 704168, 13 pages.

First available in Project Euclid: 12 August 2011

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Kadem, Abdelouahab; Kilicman, Adem. Note on the Solution of Transport Equation by Tau Method and Walsh Functions. Abstr. Appl. Anal. 2010 (2010), Article ID 704168, 13 pages. doi:10.1155/2010/704168. https://projecteuclid.org/euclid.aaa/1313170939

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