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Analytical Approximation Solution for Differential Equations with Piecewise Constant Arguments of Alternately Advanced and Retarded Type

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Book cover Information Computing and Applications (ICICA 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 392))

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Abstract

In this work, the variational iteration method is used for analytic treatment of differential equations with piecewise constant arguments of alternately advanced and retarded type. In order to prove the precision of the results, some comparisons are also made between the exact solutions and the results of the numerical method and the variational iteration method. The obtained results reveal that the method is very effective and convenient for constructing differential equations with piecewise constant arguments.

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Author information

Authors and Affiliations

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510006, China

    Qi Wang & Ruixiang Zeng

  2. College of Science, Harbin Engineering University, Harbin, 510006, China

    Cui Guo

Authors
  1. Qi Wang
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  2. Cui Guo
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  3. Ruixiang Zeng
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Editor information

Editors and Affiliations

  1. Shanghai Jiao Tong University, 800 Dongchuan Road, Dianxinqunlou 1-401,, 200240, Shanghai, China

    Yuhang Yang

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue,, 639798, Singapore, Singapore

    Maode Ma

  3. College of Science, Hebei United University, 063009, Tangshan, Hebei, China

    Baoxiang Liu

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© 2013 Springer-Verlag Berlin Heidelberg

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Wang, Q., Guo, C., Zeng, R. (2013). Analytical Approximation Solution for Differential Equations with Piecewise Constant Arguments of Alternately Advanced and Retarded Type. In: Yang, Y., Ma, M., Liu, B. (eds) Information Computing and Applications. ICICA 2013. Communications in Computer and Information Science, vol 392. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53703-5_26

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  • DOI: https://doi.org/10.1007/978-3-642-53703-5_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53702-8

  • Online ISBN: 978-3-642-53703-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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