Title: Application of modified decomposition method and variational iteration method for the solution of the one group neutron diffusion equation with fixed source

Authors: S. Saha Ray; A. Patra

Addresses: Department of Mathematics, National Institute of Technology, Rourkela 769008, India. ' Department of Mathematics, National Institute of Technology, Rourkela 769008, India

Abstract: In this paper, He's variational iteration method and modified decomposition method are applied to obtain the analytical approximate solution of the neutron diffusion equation with fixed source. The main properties of these methods lie in their flexibility and ability to solve linear as well as non-linear equations accurately and conveniently. The explicit solution of the neutron diffusion equation has been presented in the closed form by an infinite series and then the numerical solution has been represented graphically.

Keywords: variational iteration method; Adomian decomposition method; neutron diffusion equation; nuclear reactors; fixed source.

DOI: 10.1504/IJNEST.2011.045100

International Journal of Nuclear Energy Science and Technology, 2011 Vol.6 No.4, pp.310 - 320

Available online: 24 Jan 2012

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