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Note on the solution of transport equation by Tau method and Walsh functions


Citation

Kadem, Abdelouahab and Kilicman, Adem (2010) Note on the solution of transport equation by Tau method and Walsh functions. Abstract and Applied Analysis, 2010. art. no. 704168. pp. 1-13. ISSN 1085-3375; ESSN: 1687-0409

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2010/704168
Publisher: Hindawi Publishing Corporation
Keywords: Transport equation; Tau method; Walsh functions
Depositing User: Najwani Amir Sariffudin
Date Deposited: 16 Oct 2013 04:22
Last Modified: 20 Oct 2017 03:10
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2010/704168
URI: http://psasir.upm.edu.my/id/eprint/15839
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