Numerical solution of the mew equation by the semi-implicit numerical scheme
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Date
2012
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Publisher
Technická univerzita v Liberci, Česká republika
Abstract
In this paper we deal with the development of a numerical method for the solution of the mo- dified equal width wave (MEW) equation – a very important equation with a cubic nonlinearity describing a large number of physical phenomena. The crucial idea of introduced approach is based on the discretization of the MEW equation with the aid of a combination of the discontin- uous Galerkin (DG) method for the space semi-discretization and the backward Euler method for the time discretization. The appended numerical experiments investigate the conservative properties of the MEW equation related to mass, momentum and energy, and illustrate the po- tency of this scheme, consequently.
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Subject(s)
discontinuous galerkin method, modified equal width wave equation, semi-implicit scheme, solitary wave
Citation
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ISSN
1803-9782