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Simulation of Non-linear Singular System Using RK-Butcher Algorithm

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Book cover Convergence and Hybrid Information Technology (ICHIT 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 206))

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Abstract

In this paper, a new method of study on non-linear singular systems from fluid dynamics using the RK-Butcher algorithm is presented. To illustrate the effectiveness of the RK-Butcher algorithm, four cases in non-linear singular systems from fluid dynamics have been considered and compared with the classical fourth order Runge-Kutta, and are found to be very accurate. Local truncation error graphs for the non-linear singular system based nuclear reactor core problem are presented in a graphical form to show the efficiency of this RK-Butcher method. This RK-Butcher algorithm can be easily implemented in a digital computer and the solution can be obtained for any length of time.

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Author information

Authors and Affiliations

  1. Department of Microsoft Information Technology, Keimyung Adam College, Keimyung University, 2800 Dalgubeoldaero Dalseo-Gu, Daegu, 704-70, Republic of Korea

    V. Murugesh

  2. Department of Mathematics, National Institute of Technology, Tiruchirappalli, 620 015, Tamilnadu, India

    K. Murugesan

  3. Department of Information and Communications Engineering, Hannam University, 133 Ojung-dong, Daejeon, 306-791, Republic of Korea

    Kyung Tae Kim

Authors
  1. V. Murugesh
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  2. K. Murugesan
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  3. Kyung Tae Kim
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Editor information

Editors and Affiliations

  1. 90301, 3F, Computer Engineering Department, Hannam University, 70 Hannamro, Daedeuk-gu, Daejeon, Korea

    Geuk Lee

  2. QinetiQ Company Fellow, Howard Science Limited, 24 Sunrise, WR14 2NJ, Malvern, United Kingdom

    Daniel Howard

  3. Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097, Warsaw, Poland

    Dominik Ślęzak

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© 2011 Springer-Verlag Berlin Heidelberg

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Murugesh, V., Murugesan, K., Kim, K.T. (2011). Simulation of Non-linear Singular System Using RK-Butcher Algorithm. In: Lee, G., Howard, D., Ślęzak, D. (eds) Convergence and Hybrid Information Technology. ICHIT 2011. Communications in Computer and Information Science, vol 206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24106-2_79

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  • DOI: https://doi.org/10.1007/978-3-642-24106-2_79

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24105-5

  • Online ISBN: 978-3-642-24106-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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