Ak, T., Triki, H., Dhawan, S., Bhowmik, S., Philemon Moshokoa, S., Zaka Ullah, M., Biswas, A. (2018). Computational analysis of shallow water waves with Korteweg-de Vries equation. Scientia Iranica, 25(5), 2582-2597. doi: 10.24200/sci.2017.4518
Turgut Ak; Houria Triki; Sharanjeet Dhawan; Samir Kumar Bhowmik; Seithuti Philemon Moshokoa; Malik Zaka Ullah; Anjan Biswas. "Computational analysis of shallow water waves with Korteweg-de Vries equation". Scientia Iranica, 25, 5, 2018, 2582-2597. doi: 10.24200/sci.2017.4518
Ak, T., Triki, H., Dhawan, S., Bhowmik, S., Philemon Moshokoa, S., Zaka Ullah, M., Biswas, A. (2018). 'Computational analysis of shallow water waves with Korteweg-de Vries equation', Scientia Iranica, 25(5), pp. 2582-2597. doi: 10.24200/sci.2017.4518
Ak, T., Triki, H., Dhawan, S., Bhowmik, S., Philemon Moshokoa, S., Zaka Ullah, M., Biswas, A. Computational analysis of shallow water waves with Korteweg-de Vries equation. Scientia Iranica, 2018; 25(5): 2582-2597. doi: 10.24200/sci.2017.4518
Computational analysis of shallow water waves with Korteweg-de Vries equation
1Department of Transportation Engineering, Yalova University, Yalova 77100, Turkey
2Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, Algeria
3Department of Mathematics, Central University of Haryana, Haryana 123029, India
4Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
5Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa
6Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha-61413, Saudi Arabia
Abstract
The collocation nite element method is applied to obtain solitary wave solutions to Korteweg-de Vries equation with power law nonlinearity. The stability and error analysises are also carried out for these waves. Additionally, conservation laws are studied numerically.
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