Quintic and Septic $C^2$-spline methods for initial fractional differential equations
In this paper, we developed Quintic and Septic C2C2-spline methods for solving initial fractional differential equations. The convergence analysis of the methods is discussed. Illustrative examples are included to demonstrate the validity and applicability of the presented techniques. Our numerica...
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| Format: | Article |
| Language: | English |
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Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila
2023-06-01
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| Series: | Journal of Innovative Applied Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/58 |
| _version_ | 1827911390363385856 |
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| author | Jalil Rashidinia Masoumeh Einy Sadra Ghorbanalinezhad |
| author_facet | Jalil Rashidinia Masoumeh Einy Sadra Ghorbanalinezhad |
| author_sort | Jalil Rashidinia |
| collection | DOAJ |
| description |
In this paper, we developed Quintic and Septic C2C2-spline methods for solving initial fractional differential equations.
The convergence analysis of the methods is discussed. Illustrative examples are included to demonstrate the validity and applicability of the presented techniques. Our numerical results were compared with those in the recent literature.
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| first_indexed | 2024-03-13T02:02:42Z |
| format | Article |
| id | doaj.art-cae71395b0534946b7b5c7a07734fd34 |
| institution | Directory Open Access Journal |
| issn | 2773-4196 |
| language | English |
| last_indexed | 2024-03-13T02:02:42Z |
| publishDate | 2023-06-01 |
| publisher | Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila |
| record_format | Article |
| series | Journal of Innovative Applied Mathematics and Computational Sciences |
| spelling | doaj.art-cae71395b0534946b7b5c7a07734fd342023-07-01T19:36:49ZengInstitute of Sciences and Technology, University Center Abdelhafid Boussouf, MilaJournal of Innovative Applied Mathematics and Computational Sciences2773-41962023-06-013110.58205/jiamcs.v3i1.58Quintic and Septic $C^2$-spline methods for initial fractional differential equationsJalil Rashidinia0Masoumeh EinySadra GhorbanalinezhadSchool of Mathematics In this paper, we developed Quintic and Septic C2C2-spline methods for solving initial fractional differential equations. The convergence analysis of the methods is discussed. Illustrative examples are included to demonstrate the validity and applicability of the presented techniques. Our numerical results were compared with those in the recent literature. http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/58Fractional -differential equation; Quintic and Septic C2-splines; Convergence analysis. |
| spellingShingle | Jalil Rashidinia Masoumeh Einy Sadra Ghorbanalinezhad Quintic and Septic $C^2$-spline methods for initial fractional differential equations Journal of Innovative Applied Mathematics and Computational Sciences Fractional -differential equation; Quintic and Septic C2-splines; Convergence analysis. |
| title | Quintic and Septic $C^2$-spline methods for initial fractional differential equations |
| title_full | Quintic and Septic $C^2$-spline methods for initial fractional differential equations |
| title_fullStr | Quintic and Septic $C^2$-spline methods for initial fractional differential equations |
| title_full_unstemmed | Quintic and Septic $C^2$-spline methods for initial fractional differential equations |
| title_short | Quintic and Septic $C^2$-spline methods for initial fractional differential equations |
| title_sort | quintic and septic c 2 spline methods for initial fractional differential equations |
| topic | Fractional -differential equation; Quintic and Septic C2-splines; Convergence analysis. |
| url | http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/58 |
| work_keys_str_mv | AT jalilrashidinia quinticandsepticc2splinemethodsforinitialfractionaldifferentialequations AT masoumeheiny quinticandsepticc2splinemethodsforinitialfractionaldifferentialequations AT sadraghorbanalinezhad quinticandsepticc2splinemethodsforinitialfractionaldifferentialequations |