دورية أكاديمية
Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials
| العنوان: | Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials |
|---|---|
| المؤلفون: | A. Aghazadeh, Y. Mahmoudi, F. Dastmalchi Saei |
| المصدر: | Iranian Journal of Numerical Analysis and Optimization, Vol 13, Iss 1, Pp 121-140 (2023) |
| بيانات النشر: | Ferdowsi University of Mashhad, 2023. |
| سنة النشر: | 2023 |
| المجموعة: | LCC:Applied mathematics. Quantitative methods |
| مصطلحات موضوعية: | sturm–liouville problem, caputo fractional derivative, eigen-value, eigenfunction, genocchi polynomials, Applied mathematics. Quantitative methods, T57-57.97 |
| الوصف: | A new numerical scheme based on Genocchi polynomials is constructed to solve fractional Sturm–Liouville problems of order two in which the fractional derivative is considered in the Caputo sense. First, the differen-tial equation with boundary conditions is converted into the corresponding integral equation form. Next, the fractional integration and derivation op-erational matrices for Genocchi polynomials, are introduced and applied for approximating the eigenvalues of the problem. Then, the proposed polynomials are applied to approximate the corresponding eigenfunctions. Finally, some examples are presented to illustrate the efficiency and accu-racy of the numerical method. The results show that the proposed method is better than some other approximations involving orthogonal bases. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2423-6977 2423-6969 |
| العلاقة: | https://ijnao.um.ac.ir/article_42496_0bc74e05f3d8e7fabd81e3190409d004.pdfTest; https://doaj.org/toc/2423-6977Test; https://doaj.org/toc/2423-6969Test |
| DOI: | 10.22067/ijnao.2022.75635.1115 |
| الوصول الحر: | https://doaj.org/article/d8e3aee966ad4ec09faec46f6bebc376Test |
| رقم الانضمام: | edsdoj.8e3aee966ad4ec09faec46f6bebc376 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 24236977 24236969 |
|---|---|
| DOI: | 10.22067/ijnao.2022.75635.1115 |