Wave Propagation by Way of Exponential B-Spline Galerkin Method

International Conference on Quantum Science and Applications 2016

Gorgulu, M. Zorsahin^1 ; Dag, I.^2 ; Irk, D.^1

Department of Mathematics-Computer, Eskisehir Osmangazi University, Eskisehir

26480, Turkey^1

Department of Computer Engineering, Eskisehir Osmangazi University, Eskisehir

26480, Turkey^2

关键词: Burgers' equations;    Exponential B-splines;    Numerical solution;    Travelling waves;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/766/1/012031/pdf
DOI  :  10.1088/1742-6596/766/1/012031

来源: IOP

【 摘 要 】

In this paper, the exponential B-spline Galerkin method is set up for getting the numerical solution of the Burgers' equation. Two numerical examples related to shock wave propagation and travelling wave are studied to illustrate the accuracy and the efficiency of the method. Obtained results are compared with some early studies.