A novel outlook to the mKdV equation using the advantages of a mixed method

In this study, high accurate numerical solutions of the modified Korteweg-de Vries equation via contribution of two effective methods and efficient linearizing technique are obtained. In order to observe the performance of the present approximation, five famous applications will be handled. To see t...

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Bibliographic Details
Published in:Applicable analysis 2023-01, Vol.102 (1), p.65-87
Main Author: Başhan, Ali
Format: Article
Language:English
Subjects:
Algorithms
B-splines
differential quadrature method
Finite difference method
Korteweg-Devries equation
Mixed methods research
mKdV
Shallow water
solitons
Water waves
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Summary:In this study, high accurate numerical solutions of the modified Korteweg-de Vries equation via contribution of two effective methods and efficient linearizing technique are obtained. In order to observe the performance of the present approximation, five famous applications will be handled. To see the position of the new method in the scientific literature, all numerical results obtained by using the same parameters with earlier applications and compared with each other. Furthermore, to display the numerical behaviour of the shallow water waves, all of the applications are illustrated in detail and given in 2D and 3D. Numerical results show that present algorithm will be useful for the other nonlinear scientific problems.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2021.1947493