Modification of 2-D Time-Domain Shallow Water Wave Equation using Asymptotic Expansion Method

Teuku Khairuman; M.N. Nasruddin; Tulus; Marwan Ramli

doi:10.1088/1757-899X/300/1/012049

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Modification of 2-D Time-Domain Shallow Water Wave Equation using Asymptotic Expansion Method

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Teuku Khairuman, M.N. Nasruddin, Tulus, Marwan Ramli

2018 IOP Conference Series: Materials Science and Engineering Vol. 300 Issue 1 Conference paper Cited by 0 SDG 13

Abstract

Generally, research on the tsunami wave propagation model can be conducted by using a linear model of shallow water theory, where a non-linear side on high order is ignored. In line with research on the investigation of the tsunami waves, the Boussinesq equation model underwent a change aimed to obtain an improved quality of the dispersion relation and non-linearity by increasing the order to be higher. To solve non-linear sides at high order is used a asymptotic expansion method. This method can be used to solve non linear partial differential equations. In the present work, we found that this method needs much computational time and memory with the increase of the number of elements. © Published under licence by IOP Publishing Ltd.

Affiliations

Department of Physics, Faculty of Science, University of Sumatera Utara, Medan, Indonesia; Department of Mathematics, Faculty of Science, University of Sumatera Utara, Medan, Indonesia; Department of Mathematics, Faculty of Science, Syiah Kuala University, Aceh, Indonesia; Department of Physics, Faculty of Science, Syiah Kuala University, Aceh, Indonesia

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