Numerical solution of the complex modified Korteweg-de Vries equation by DQM

International Conference on Quantum Science and Applications 2016

Bahan, Ali^1 ; Uçar, Yusuf^2 ; Yamurlu, N. Murat^2 ; Esen, Alaattin^2

Department of Mathematics, Faculty of Science and Art, Bulent Ecevit University, Zonguldak

67100, Turkey^1

Department of Mathematics, Faculty of Science and Art, Inonu University, Malatya

44200, Turkey^2

关键词: Conserved quantity;    Differential quadrature methods;    Maximum error;    Modified korteweg-de vries equations;    Numerical results;    Numerical solution;    Quintic B-splines;    Soli-tary wave solutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/766/1/012028/pdf
DOI  :  10.1088/1742-6596/766/1/012028

来源: IOP

【 摘 要 】

In this paper, a method based on the differential quadrature method with quintic B- spline has been applied to simulate the solitary wave solution of the complex modified Korteweg- de Vries equation (CMKdV). Three test problems, namely single solitary wave, interaction of two solitary waves and interaction of three solitary waves have been investigated. The efficiency and accuracy of the method have been measured by calculating maximum error norm L∞ for single solitary waves having analytical solutions. Also, the three lowest conserved quantities and obtained numerical results have been compared with some of the published numerical results.