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
ISSN: 0961-5539
Article publication date: 4 September 2017
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