Title of article :
Computational analysis of shallow water waves with Korteweg-de Vries equation
Author/Authors :
Ak ، Turgut Department of Transportation Engineering - Yalova University , Triki ، Houria Department of Physics, Radiation Physics Laboratory - Faculty of Sciences - Badji Mokhtar University , Dhawan ، Sharanjeet Department of Mathematics - Central University of Haryana , Bhowmik ، Samir Kumar Department of Mathematics - University of Dhaka , Moshokoa ، Seithuti Philemon Department of Mathematics and Statistics - Tshwane University of Technology , Ullah ، Malik Zaka Department of Mathematics - College of Science - King Khalid University , Biswas ، Anjan Department of Mathematics - College of Science - King Khalid University
Abstract :
The collocation finite 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.
Keywords :
gKdV equation , Finite Element Method , Collocation , Shallow Water , B , spline
Journal title :
Scientia Iranica(Transactions B:Mechanical Engineering)
Journal title :
Scientia Iranica(Transactions B:Mechanical Engineering)
