A new numerical algorithm based on Quintic B-Spline and adaptive time integrator for Coupled Burger’s equation
نویسندگان
1 Engineering Sciences, Faculty of Architecture and Engineering, Izmir Katip Celebi University, Izmir, Turkey.
2 Department of Civil Engineering, Pamukkale University, Denizli, Turkey.
3 Management Information Systems, Faculty of Economics and Administrative Sciences, Dogus University, Istanbul, Turkey.
4 Department of Civil Engineering, Pamukkale University, Denizli, Turkey.
5 Department of Mathematics, Izmir Institute of Technology, Izmir, Turkey.
doi
10.22034/cmde.2022.50940.2121چکیده
In this article, the coupled Burger’s equation which is one of the known systems of the nonlinear parabolic partial differential equations is studied. The method presented here is based on a combination of the quintic B-spline and a high order time integration scheme known as adaptive Runge-Kutta method. First of all, the application of the new algorithm on the coupled Burger’s equation is presented. Then, the convergence of the algorithm is studied in a theorem. Finally, to test the efficiency of the new method, coupled Burger’s equations in literature are studied. We observed that the presented method has better accuracy and efficiency compared to the other methods in the literature.
