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Cicek, Yesim, Gucuyenen Kaymak, Nurcan, Bahar, Ersin, Gurarslan, Gurhan, Tangolu, Gamze. (1401). A new numerical algorithm based on Quintic B-Spline and adaptive time integrator for Coupled Burger’s equation. سامانه مدیریت نشریات علمی, 11(1), 130-142. doi: 10.22034/cmde.2022.50940.2121
Yesim Cicek; Nurcan Gucuyenen Kaymak; Ersin Bahar; Gurhan Gurarslan; Gamze Tangolu. "A new numerical algorithm based on Quintic B-Spline and adaptive time integrator for Coupled Burger’s equation". سامانه مدیریت نشریات علمی, 11, 1, 1401, 130-142. doi: 10.22034/cmde.2022.50940.2121
Cicek, Yesim, Gucuyenen Kaymak, Nurcan, Bahar, Ersin, Gurarslan, Gurhan, Tangolu, Gamze. (1401). 'A new numerical algorithm based on Quintic B-Spline and adaptive time integrator for Coupled Burger’s equation', سامانه مدیریت نشریات علمی, 11(1), pp. 130-142. doi: 10.22034/cmde.2022.50940.2121
Cicek, Yesim, Gucuyenen Kaymak, Nurcan, Bahar, Ersin, Gurarslan, Gurhan, Tangolu, Gamze. A new numerical algorithm based on Quintic B-Spline and adaptive time integrator for Coupled Burger’s equation. سامانه مدیریت نشریات علمی, 1401; 11(1): 130-142. doi: 10.22034/cmde.2022.50940.2121

A new numerical algorithm based on Quintic B-Spline and adaptive time integrator for Coupled Burger’s equation

Computational Methods for Differential Equations
مقاله 10، دوره 11، شماره 1، فروردین 2023، صفحه 130-142    اصل مقاله (1.4 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.50940.2121
نویسندگان
Yesim Cicek1؛ Nurcan Gucuyenen Kaymak* 2؛ Ersin Bahar3؛ Gurhan Gurarslan3؛ Gamze Tangolu4
1Engineering Sciences, Faculty of Architecture and Engineering, Izmir Katip Celebi University, Izmir, Turkey.
2Management Information Systems, Faculty of Economics and Administrative Sciences, Dogus University, Istanbul, Turkey.
3Department of Civil Engineering, Pamukkale University, Denizli, Turkey.
4Department of Mathematics, Izmir Institute of Technology, Izmir, Turkey.
چکیده
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.
کلیدواژه‌ها
Quintic B-Spline؛ Adaptive Runge-Kutta method؛ Coupled Burger’s equation؛ Non-linear parabolic partial differential equation
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