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An Exponential Cubic B-spline Algorithm for the Nonlinear Coupled Burgers' Equation | ||
Computational Methods for Differential Equations | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 16 دی 1399 اصل مقاله (530.94 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2020.39486.1727 | ||
نویسندگان | ||
Ozlem Ersoy Hepson ![]() ![]() ![]() | ||
1Eskisehir Osmangazi University, Science and Letters Faculty, Mathematics and Computer Department | ||
2Eskisehir Osmangazi Univesity, Engineering and Architecture Faculty, Computer Engineering Department | ||
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. \textbf{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 | ||
آمار تعداد مشاهده مقاله: 12 تعداد دریافت فایل اصل مقاله: 92 |