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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Akbarpoor, Shahrbanoo, Dabbaghian, Abdol. (1403). Approximate solutions of inverse Nodal problem with conformable derivative. سامانه مدیریت نشریات علمی, 12(3), 610-623. doi: 10.22034/cmde.2023.56851.2380
Shahrbanoo Akbarpoor; Abdol Hadi Dabbaghian. "Approximate solutions of inverse Nodal problem with conformable derivative". سامانه مدیریت نشریات علمی, 12, 3, 1403, 610-623. doi: 10.22034/cmde.2023.56851.2380
Akbarpoor, Shahrbanoo, Dabbaghian, Abdol. (1403). 'Approximate solutions of inverse Nodal problem with conformable derivative', سامانه مدیریت نشریات علمی, 12(3), pp. 610-623. doi: 10.22034/cmde.2023.56851.2380
Akbarpoor, Shahrbanoo, Dabbaghian, Abdol. Approximate solutions of inverse Nodal problem with conformable derivative. سامانه مدیریت نشریات علمی, 1403; 12(3): 610-623. doi: 10.22034/cmde.2023.56851.2380

Approximate solutions of inverse Nodal problem with conformable derivative

Computational Methods for Differential Equations
مقاله 14، دوره 12، شماره 3، مهر 2024، صفحه 610-623    اصل مقاله (428.95 K)
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 the Sturm-Liouville equation which contains conformable fractional derivatives of order $\alpha \in (0,1]$ 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 the Chebyshev interpolation technique .
کلیدواژه‌ها
Inverse problem؛ Conformable fractional؛ Nodal points؛ Bernstein technique؛ Numerical solution
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