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Comparison of solutions of linear and non-linear shallow water wave equations using homotopy perturbation method

Perumandla Karunakar (Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India)
Snehashish Chakraverty (Department of Mathematics, National Institute of Technology Rourkela, Rourkela, India)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 4 September 2017

292

Abstract

Purpose

This paper aims to solve linear and non-linear shallow water wave equations using homotopy perturbation method (HPM). HPM is a straightforward method to handle linear and non-linear differential equations. As such here, one-dimensional shallow water wave equations have been considered to solve those by HPM. Interesting results are reported when the solutions of linear and non-linear equations are compared.

Design/methodology/approach

HPM was used in this study.

Findings

Solution of one-dimensional linear and non-linear shallow water wave equations and comparison of linear and non-linear coupled shallow water waves from the results obtained using present method.

Originality/value

Coupled non-linear shallow water wave equations are solved.

Keywords

Acknowledgements

The authors are thankful to Board of Research in Nuclear Sciences (BRNS), Mumbai, India for the support and funding to carry out the present research.

Citation

Karunakar, P. and Chakraverty, S. (2017), "Comparison of solutions of linear and non-linear shallow water wave equations using homotopy perturbation method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 27 No. 9, pp. 2015-2029. https://doi.org/10.1108/HFF-09-2016-0329

Publisher

:

Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited

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