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International Conference on Information Computing and Applications

ICICA 2010: Information Computing and Applications pp 62–69Cite as

Stability of Euler-Maclaurin Methods in the Numerical Solution of Equation u′(t) = au(t) + a 0 u([t]) + a 1 u([t − 1])

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 105))

Abstract

To study the numerical solution of the delay differential equations with piecewise continuous arguments (EPCA) which are usually emerged in dynamic models and controls of biological systems ,signal systems and so forth. High acurate numerical solution and stability analysis for the equation u′(t) = au(t) + a 0 u([t]) + a 1 u([t − 1]) was concerned. The adaptation of the Euler-Maclaurin method was considered,and the stability region for the Euler-Maclaurin methods for the equation was determined. The conditions that the analytic stability region is contained in the numerical stability region are obtained and a numerical experiment is given. The numerical solution can also perserve the stability of the analytic solution.

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Author information

Authors and Affiliations

  1. College of Mathematics, Helongjiang University, Harbin, 150080, China

    Chunyan He & Wanjin Lv

Authors
  1. Chunyan He
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  2. Wanjin Lv
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Editor information

Editors and Affiliations

  1. College of Computer Science, South-Central University for Nationalities, 708 Minyuan Road, 430074, Wuhan, China

    Rongbo Zhu

  2. Victoria University, 8001, Melbourne, VIC, Australia

    Yanchun Zhang

  3. College of sciences, He’Bei polytechnic University, 063000, Tangshan, Hebei, China

    Baoxiang Liu  & Chunfeng Liu  & 

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He, C., Lv, W. (2010). Stability of Euler-Maclaurin Methods in the Numerical Solution of Equation u′(t) = au(t) + a 0 u([t]) + a 1 u([t − 1]). In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16336-4_9

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  • DOI: https://doi.org/10.1007/978-3-642-16336-4_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16335-7

  • Online ISBN: 978-3-642-16336-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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