Computational analysis of shallow water waves with Korteweg-de Vries equation.
Ak, T. ; Triki, H. ; Dhawan, S. ; Bhowmik, S.K. ; Moshokoa, S.P. ; Ullah, M.Z. ; Biswas, A.
Ak, T.
Triki, H.
Dhawan, S.
Bhowmik, S.K.
Moshokoa, S.P.
Ullah, M.Z.
Biswas, A.
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Abstract
The collocation fi nite element method was applied to obtain solitary wave solutions to Korteweg-de Vries equation with power law nonlinearity. The stability and error analyses were also carried out for these waves. Additionally, conservation laws were studied numerically.
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Date
2018-10-02
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Sharif University of Technology
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Keywords
GKdV equation, Finite element method, Collocation, Shallow water, B-spline.