A Numerical Approach to Solve Point Kinetic Equations Using Taylor-Lie Series and the Adomian Decomposition Method

  • Hag-Tae Kim
  • Ganduulga
  • Dong Pyo Hong
  • Kil To Chong
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 240)

Abstract

The point kinetic equations in nuclear dynamics, various analytical methods have been used. In this paper, a numerical approach of point kinetic equations using an inherently large sampling interval and multiple inputs is developed and analyzed. To implement this method, Taylor-Lie Series under the Zero Order Hold (ZOH) is used to approximate the neutron density and precursor concentrations at each corresponding time step. Afterwards, an additional technique, the Adomian Decomposition Method, is used based on its merit of algorithmic and computational advantages in carrying out the discretization.

Keywords

Point kinetic equations Numerical solution Taylor-Lie series Zero order hold (ZOH) approximation Adomian decomposition method 

Notes

Acknowledgments

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (No. 2012-038978) and (No. 2012-0002434).

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Copyright information

© Springer Science+Business Media Dordrecht(Outside the USA) 2013

Authors and Affiliations

  • Hag-Tae Kim
    • 1
  • Ganduulga
    • 2
  • Dong Pyo Hong
    • 3
  • Kil To Chong
    • 2
    • 4
  1. 1.Korea Atomic Energy Research InstituteDaejeonRepublic of Korea
  2. 2.Department of Electronics EngineeringJeonbuk National UniversityJeonjuRepublic of Korea
  3. 3.Department of Mechanical EngineeringJeonbuk National UniversityJeonjuRepublic of Korea
  4. 4.Advanced Research Center for Electronics and InformationJeonbuk National UniversityJeonjuRepublic of Korea

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