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COLLOCATION METHOD USING AUTO-CORRELATION FUNCTIONS OF COMPACT SUPPORTED WAVELET FOR SOLVING BURGERS' EQUATION | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 20 اردیبهشت 1405 اصل مقاله (1.14 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.71478.3592 | ||
| نویسندگان | ||
| Mahnaz Zafari؛ Amjad AliPanah* | ||
| Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran. | ||
| چکیده | ||
| In this paper, we employ a collocation method based on the auto-correlation functions of Daubechies wavelet scaling functions to approximate the solutions of one-dimensional Burgers' equations. By using the properties of these wavelet bases, we approximate the Burgers’ equation at dyadic points for $x$ dimensional, effectively reducing it to a system of ordinary differential equations (ODEs). We then apply the fourth-order Runge-Kutta method to solve this system of ODEs. The numerical results obtained demonstrate the efficiency and accuracy of our approach compared to other existing methods. | ||
| کلیدواژهها | ||
| auto-correlation function؛ Daubechies wavelet؛ collocation method؛ Burgers' equations؛ Runge-Kutta | ||
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آمار تعداد مشاهده مقاله: 23 تعداد دریافت فایل اصل مقاله: 40 |
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