Multistep Differential Transform Method for Numerical Solution of Classical Neutron Point Kinetic Equation

Authors:
A. Patra;S. Saha Ray
Affiliations:
National Institute of Technology, Department of Mathematics, Rourkela, India 769008;National Institute of Technology, Department of Mathematics, Rourkela, India 769008
Venue:
Computational Mathematics and Modeling
Year:
2013

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Abstract

In this paper, the differential transform method is applied to compute the numerical solution for classical neutron point kinetic equations [5, 6, 7] in a nuclear reactor. The differential transform method (DTM) is an iterative procedure for obtaining analytic Taylor series solutions of differential equations. The new algorithm multistep differential transform method (MDTM) is applied here for solving the classical neutron point kinetic equation. The multistep DTM is treated as an algorithm in a sequence of intervals for finding simple and accurate solutions. Moreover, numerical examples with variable step reactivities, ramp reactivity, and sinusoidal reactivity are used to illustrate the preciseness and effectiveness of the proposed method.