A New Fractional Representation of the Higher Order Taylor Scheme
In this work, we suggest a new numerical scheme called the fractional higher order Taylor method (FHOTM) to solve fractional differential equations (FDEs). Using the generalized Taylor’s theorem is the fundamental concept of this approach. Then, the local truncation error generated by the suggested...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | Computational and Mathematical Methods |
| Online Access: | http://dx.doi.org/10.1155/2024/2849717 |
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| author | Iqbal M. Batiha Iqbal H. Jebril Amira Abdelnebi Zoubir Dahmani Shawkat Alkhazaleh Nidal Anakira |
| author_facet | Iqbal M. Batiha Iqbal H. Jebril Amira Abdelnebi Zoubir Dahmani Shawkat Alkhazaleh Nidal Anakira |
| author_sort | Iqbal M. Batiha |
| collection | DOAJ |
| description | In this work, we suggest a new numerical scheme called the fractional higher order Taylor method (FHOTM) to solve fractional differential equations (FDEs). Using the generalized Taylor’s theorem is the fundamental concept of this approach. Then, the local truncation error generated by the suggested FHOTM is estimated by proving suitable theoretical results. At last, several numerical applications are given to demonstrate the applicability of the suggested approach in relation to their exact solutions. |
| format | Article |
| id | doaj-art-a4b2e35c9e2a4c7ca289211cd69d1a97 |
| institution | Kabale University |
| issn | 2577-7408 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Computational and Mathematical Methods |
| spelling | doaj-art-a4b2e35c9e2a4c7ca289211cd69d1a972025-02-03T05:56:54ZengWileyComputational and Mathematical Methods2577-74082024-01-01202410.1155/2024/2849717A New Fractional Representation of the Higher Order Taylor SchemeIqbal M. Batiha0Iqbal H. Jebril1Amira Abdelnebi2Zoubir Dahmani3Shawkat Alkhazaleh4Nidal Anakira5Department of MathematicsDepartment of MathematicsLaboratory of Pure and Applied MathematicsDepartment of MathematicsDepartment of MathematicsFaculty of Education and ArtsIn this work, we suggest a new numerical scheme called the fractional higher order Taylor method (FHOTM) to solve fractional differential equations (FDEs). Using the generalized Taylor’s theorem is the fundamental concept of this approach. Then, the local truncation error generated by the suggested FHOTM is estimated by proving suitable theoretical results. At last, several numerical applications are given to demonstrate the applicability of the suggested approach in relation to their exact solutions.http://dx.doi.org/10.1155/2024/2849717 |
| spellingShingle | Iqbal M. Batiha Iqbal H. Jebril Amira Abdelnebi Zoubir Dahmani Shawkat Alkhazaleh Nidal Anakira A New Fractional Representation of the Higher Order Taylor Scheme Computational and Mathematical Methods |
| title | A New Fractional Representation of the Higher Order Taylor Scheme |
| title_full | A New Fractional Representation of the Higher Order Taylor Scheme |
| title_fullStr | A New Fractional Representation of the Higher Order Taylor Scheme |
| title_full_unstemmed | A New Fractional Representation of the Higher Order Taylor Scheme |
| title_short | A New Fractional Representation of the Higher Order Taylor Scheme |
| title_sort | new fractional representation of the higher order taylor scheme |
| url | http://dx.doi.org/10.1155/2024/2849717 |
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