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2-D Shallow Water Wave Equations with Fuzzy Parameters

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Recent Advances in Applications of Computational and Fuzzy Mathematics

Abstract

This chapter examines the behavior of two-dimensional shallow water wave equations (SWWEs) with fuzzy parameters. In this study, basin depth has been considered as uncertain in term of fuzzy. Then the corresponding SWWE has been solved by semi-analytical method, viz. homotopy perturbation method (HPM). The results obtained are presented graphically, and they are in good agreement.

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Acknowledgements

Board of Research in Nuclear Sciences (BRNS), Mumbai, India (Project Grant Number: 36(4)/40/46/2014-BRNS), is gratefully acknowledged for the financial support to do the present research work.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Rourkela, 769008, Odisha, India

    P. Karunakar & Snehashish Chakraverty

Authors
  1. P. Karunakar
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  2. Snehashish Chakraverty
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Correspondence to Snehashish Chakraverty .

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Editors and Affiliations

  1. Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India

    Snehashish Chakraverty

  2. Research & Development Centre for Mathematical Modeling, Faculty of Science, University of Colombo, Colombo, Sri Lanka

    Sanjeewa Perera

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Karunakar, P., Chakraverty, S. (2018). 2-D Shallow Water Wave Equations with Fuzzy Parameters. In: Chakraverty, S., Perera, S. (eds) Recent Advances in Applications of Computational and Fuzzy Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-13-1153-6_1

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  • DOI: https://doi.org/10.1007/978-981-13-1153-6_1

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-1152-9

  • Online ISBN: 978-981-13-1153-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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