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.
HPM was used in this study.
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.
Coupled non-linear shallow water wave equations are solved.
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.
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
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