Analytical solutions for the neutron transport using the spectral methods

Abdelouahab Kadem

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-11

Abstract:

We present a method for solving the two-dimensional equation oftransfer. The method can be extended easily to the general lineartransport problem. The used technique allows us to reduce thetwo-dimensional equation to a system of one-dimensional equations.The idea of using the spectral method for searching for solutionsto the multidimensional transport problems leads us to a solutionfor all values of the independant variables, the proposed methodreduces the solution of the multidimensional problems into a setof one-dimensional ones that have well-established deterministicsolutions. The procedure is based on the development of theangular flux in truncated series of Chebyshev polynomials whichwill permit us to transform the two-dimensional problem into a setof one-dimensional problems.

Date: 2006
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2006/016214.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2006/016214.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:016214

DOI: 10.1155/IJMMS/2006/16214

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().