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Solving brachistochrone problem via scaling functions of Daubechies wavelets | ||
| Computational Methods for Differential Equations | ||
| مقاله 13، دوره 9، شماره 2، تیر 2021، صفحه 511-522 اصل مقاله (126.48 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.34778.1588 | ||
| نویسندگان | ||
| Azad Kasnazani* ؛ Amjad AliPanah | ||
| Department of Applied Mathematics, University of Kurdistan, Sanandaj, Iran. | ||
| چکیده | ||
| In this paper, we proposed an effective method based on the scaling function of Daubechies wavelets for the solution of the brachistochrone problem. An analytic technique for solving the integral of Daubechies scaling functions on dyadic intervals is investigated and these integrals are used to reduce the brachistochrone problem into algebraic equations. The error estimate for the brachistochrone problem is proposed and the numerical results are given to verify the effectiveness of our method. | ||
| کلیدواژهها | ||
| Daubechies wavelets؛ Scaling function؛ Brachistochrone problem؛ Error analysis؛ Numerical results | ||
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آمار تعداد مشاهده مقاله: 610 تعداد دریافت فایل اصل مقاله: 510 |
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