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Approximate solutions of inverse Nodal problem with conformable derivative | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 17 مهر 1402 اصل مقاله (1.2 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2023.56851.2380 | ||
| نویسندگان | ||
| Shahrbanoo Akbarpoor1؛ Abdol Hadi Dabbaghian* 2 | ||
| 1Department of Mathematics, Jouybar Branch, Islamic Azad University, Jouybar, Iran. | ||
| 2Department of Mathematics,Neka Branch, Islamic Azad University,Neka, Iran. | ||
| چکیده | ||
| Our research is about Sturm-Liouville equation which contains conformable fractional derivatives of order α ∈ (0, 1] in lieu of the ordinary derivatives. First, we present the eigenvalues, eigenfunctions and nodal points and the properties of nodal points are used for the reconstruction of an integral equation. Then, the Bernstein technique was utilized to solve the inverse problem and the approximation of solving this problem was calculated. Finally, the numerical examples were introduced to explain the results. Moreover, the analogy of this technique is shown in a numerical example with Chebyshev interpolation technique . | ||
| کلیدواژه‌ها | ||
| Inverse problem؛ Conformable fractional؛ Nodal points؛ Bernstein technique؛ Numerical solution | ||
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آمار تعداد مشاهده مقاله: 8 تعداد دریافت فایل اصل مقاله: 11 |
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