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Ersoy Hepson, Ozlem, Dag, Idris. (1400). An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation. سامانه مدیریت نشریات علمی, 9(4), 1109-1127. doi: 10.22034/cmde.2020.39486.1727
Ozlem Ersoy Hepson; Idris Dag. "An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation". سامانه مدیریت نشریات علمی, 9, 4, 1400, 1109-1127. doi: 10.22034/cmde.2020.39486.1727
Ersoy Hepson, Ozlem, Dag, Idris. (1400). 'An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation', سامانه مدیریت نشریات علمی, 9(4), pp. 1109-1127. doi: 10.22034/cmde.2020.39486.1727
Ersoy Hepson, Ozlem, Dag, Idris. An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation. سامانه مدیریت نشریات علمی, 1400; 9(4): 1109-1127. doi: 10.22034/cmde.2020.39486.1727

An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation

Computational Methods for Differential Equations
مقاله 13، دوره 9، شماره 4، دی 2021، صفحه 1109-1127    اصل مقاله (465.6 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.39486.1727
نویسندگان
Ozlem Ersoy Hepson* 1؛ Idris Dag2
1Mathematics and Computer Science Department, Science and Letters Faculty, Eskisehir Osmangazi University, 26480, Eskisehir, Turkey.
2Idris Dag Computer Engineering Department, Engineering and Architecture Faculty, Eskisehir Osmangazi University, 26480, Eskisehir, Turkey.
چکیده
The collocation method based on the exponential cubic B-splines (ECB-splines) together with the Crank Nicolson formula is used to solve nonlinear coupled Burgers’ equation (CBE). This method is tested by studying three different problems. The proposed scheme is compared with some existing methods. It produced accurate results with the suitable selection of the free parameter of the ECB-spline function. It produces accurate results. Stability of the fully discretized CBE is investigated by the Von Neumann analysis.
کلیدواژه‌ها
Coupled Burgers’ equation؛ Exponential cubic B-spline؛ Stability analysis؛ Collocation
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