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Numerical Solution for a Kind of Nonlinear Telegraph Equations Using Radial Basis Functions

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Information Computing and Applications (ICICA 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 391))

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Abstract

In this paper, we propose a numerical scheme to solve a kind of the nonlinear telegraph equation by using the Kansa’s method with Radial Basis Functions (RBFs). From the numerical results of experiments presented in this paper, we can get that the accuracy between the numerical solutions and the analytical solutions are valid. In this paper, we also give the analysis of the parameter c in IMQ radical basis function for the results.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Linyi University, Linyi, 276005, P.R. China

    Ling De Su, Zi Wu Jiang & Tong Song Jiang

  2. College of Mathematics, Shandong Normal University, Jinan, 250014, P.R. China

    Ling De Su

Authors
  1. Ling De Su
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  2. Zi Wu Jiang
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  3. Tong Song Jiang
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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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De Su, L., Jiang, Z.W., Jiang, T.S. (2013). Numerical Solution for a Kind of Nonlinear Telegraph Equations Using Radial Basis Functions. In: Yang, Y., Ma, M., Liu, B. (eds) Information Computing and Applications. ICICA 2013. Communications in Computer and Information Science, vol 391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53932-9_14

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  • DOI: https://doi.org/10.1007/978-3-642-53932-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53931-2

  • Online ISBN: 978-3-642-53932-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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