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

Author

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  • Abdelouahab Kadem
  • Adem Kilicman

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.

Suggested Citation

  • Abdelouahab Kadem & Adem Kilicman, 2010. "Note on the Solution of Transport Equation by Tau Method and Walsh Functions," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-13, January.
  • Handle: RePEc:hin:jnlaaa:704168
    DOI: 10.1155/2010/704168
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