International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2557

Full Length Research Paper

An attempt to solve neutron transport equation inside supercritical water nuclear reactors using the Boubaker Polynomials Expansion Scheme

K. Boubaker
ESSTT/ 63 Rue Sidi Jabeur 5100, Mahdia, Tunisia. 
Email: [email protected]

  •  Accepted: 10 May 2012
  •  Published: 31 May 2012



In this paper, we use a polynomial scheme for solving the system of nonlinear boundary value problems associated with nuclear fission inside supercritical water nuclear reactors. The results are calculated in terms of series with easily computable components. The suggested method is applied without any discretization or transformation, but under some restrictive assumptions. To illustrate the implementation and efficiency of the proposed method, plots of the wavelength-dependent neutron flux profile are provided.
Key words: Supercritical water nuclear reactors (SCWNR), neutron transport equation, distribution function, Boubaker Polynomial Expansion Scheme (BPES), neutron angular flux.