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Exponential Spline Method for One Dimensional Nonlinear Benjamin-Bona-Mahony-Burgers Equation

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Mathematics and Computing (ICMC 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 834))

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Abstract

In this paper, a numerical method based on exponential spline for solving one dimensional nonlinear Benjamin-Bona-Mahony-Burgers equation is presented. Stability analysis of the present method is analyzed by means of Von Neumann stability analysis and is proven to be unconditionally stable. Few numerical evidences are given to prove the validation of the proposed method.

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Author information

Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Kurukshetra, Kurukshetra, 136 119, Haryana, India

    A. S. V. Ravi Kanth & Sirswal Deepika

Authors
  1. A. S. V. Ravi Kanth
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  2. Sirswal Deepika
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Corresponding author

Correspondence to A. S. V. Ravi Kanth .

Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Technology BHU, Varanasi, Uttar Pradesh, India

    Debdas Ghosh

  2. Haldia Institute of Technology, Haldia, India

    Debasis Giri

  3. University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  4. Istanbul Commerce University, Istanbul, Turkey

    Ekrem Savas

  5. Kyushu University, Fukuoka, Japan

    Kouichi Sakurai

  6. Indian Institute of Technology (BHU), Varanasi, India

    L. P. Singh

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Ravi Kanth, A.S.V., Deepika, S. (2018). Exponential Spline Method for One Dimensional Nonlinear Benjamin-Bona-Mahony-Burgers Equation. In: Ghosh, D., Giri, D., Mohapatra, R., Savas, E., Sakurai, K., Singh, L. (eds) Mathematics and Computing. ICMC 2018. Communications in Computer and Information Science, vol 834. Springer, Singapore. https://doi.org/10.1007/978-981-13-0023-3_20

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  • DOI: https://doi.org/10.1007/978-981-13-0023-3_20

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0022-6

  • Online ISBN: 978-981-13-0023-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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