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Title: A new numerical algorithm based on Quintic B-Spline and adaptive time integrator for Cou- pled Burger's equation
Authors: Çiçek, Yeşim
Gücüyenen Kaymak, Nurcan
Bahar, Ersin
Gürarslan, Gürhan
Tanoğlu, Gamze
Keywords: Adaptive Runge-Kutta method
Coupled Burger's equation
Partial differential equations
Quintic B-Spline
Publisher: Tabriz University
Abstract: 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. © 2023 University of Tabriz. All Rights Reserved.
ISSN: 2345-3982
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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