Computational analysis of shallow water waves with Korteweg-de Vries equation
نویسندگان
1 Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh
2 Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa
3 Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha-61413, Saudi Arabia
4 Department of Transportation Engineering, Yalova University, Yalova 77100, Turkey
5 Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, Algeria
6 Department of Mathematics, Central University of Haryana, Haryana 123029, India
7 Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha-61413, Saudi Arabia
doi
10.24200/sci.2017.4518چکیده
The collocation nite element method is applied to obtain solitary wave solutions to Korteweg-de Vriesequation with power law nonlinearity. The stability and error analysises are also carried out for these waves.Additionally, conservation laws are studied numerically.