Shifted genocchi polynomials operational matrix for solving fractional order stiff system
In this paper, we solve the fractional order stiff system using shifted Genocchi polynomials operational matrix. Different than the well known Genocchi polynomials, we shift the interval from [0, 1] to [1, 2] and name it as shifted Genocchi polynomials. Using the nice properties of shifted Genocchi...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2021
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| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/6630/ http://eprints.uthm.edu.my/6630/1/P13535_11303ccb49ab9cdbe073a6c3bb6c003f.pdf |
| _version_ | 1848888865959444480 |
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| author | Isah, Abdulnasir Chang, Phang |
| author_facet | Isah, Abdulnasir Chang, Phang |
| author_sort | Isah, Abdulnasir |
| building | UTHM Institutional Repository |
| collection | Online Access |
| description | In this paper, we solve the fractional order stiff system using shifted Genocchi polynomials operational matrix. Different than the well known Genocchi polynomials, we shift the
interval from [0, 1] to [1, 2] and name it as shifted Genocchi polynomials. Using the nice properties of shifted Genocchi polynomials which inherit from classical Genocchi polynomials, the
shifted Genocchi polynomials operational matrix of fractional derivative will be derived. Collocation scheme are used together with the operational matrix to solve some fractional order stiff
system. From the numerical examples, it is obvious that only few terms of shifted Genocchi
polynomials is sufficient to obtain result in high accuracy. |
| first_indexed | 2025-11-15T20:17:05Z |
| format | Conference or Workshop Item |
| id | uthm-6630 |
| institution | Universiti Tun Hussein Onn Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T20:17:05Z |
| publishDate | 2021 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | uthm-66302022-03-14T01:16:58Z http://eprints.uthm.edu.my/6630/ Shifted genocchi polynomials operational matrix for solving fractional order stiff system Isah, Abdulnasir Chang, Phang TA401-492 Materials of engineering and construction. Mechanics of materials In this paper, we solve the fractional order stiff system using shifted Genocchi polynomials operational matrix. Different than the well known Genocchi polynomials, we shift the interval from [0, 1] to [1, 2] and name it as shifted Genocchi polynomials. Using the nice properties of shifted Genocchi polynomials which inherit from classical Genocchi polynomials, the shifted Genocchi polynomials operational matrix of fractional derivative will be derived. Collocation scheme are used together with the operational matrix to solve some fractional order stiff system. From the numerical examples, it is obvious that only few terms of shifted Genocchi polynomials is sufficient to obtain result in high accuracy. 2021 Conference or Workshop Item PeerReviewed text en http://eprints.uthm.edu.my/6630/1/P13535_11303ccb49ab9cdbe073a6c3bb6c003f.pdf Isah, Abdulnasir and Chang, Phang (2021) Shifted genocchi polynomials operational matrix for solving fractional order stiff system. In: ICMSCT 2021, May 29- June 2 2022, Canada. https://doi.org/10.1088/1742-6596/2084/1/012023 |
| spellingShingle | TA401-492 Materials of engineering and construction. Mechanics of materials Isah, Abdulnasir Chang, Phang Shifted genocchi polynomials operational matrix for solving fractional order stiff system |
| title | Shifted genocchi polynomials operational matrix for solving fractional order stiff system |
| title_full | Shifted genocchi polynomials operational matrix for solving fractional order stiff system |
| title_fullStr | Shifted genocchi polynomials operational matrix for solving fractional order stiff system |
| title_full_unstemmed | Shifted genocchi polynomials operational matrix for solving fractional order stiff system |
| title_short | Shifted genocchi polynomials operational matrix for solving fractional order stiff system |
| title_sort | shifted genocchi polynomials operational matrix for solving fractional order stiff system |
| topic | TA401-492 Materials of engineering and construction. Mechanics of materials |
| url | http://eprints.uthm.edu.my/6630/ http://eprints.uthm.edu.my/6630/ http://eprints.uthm.edu.my/6630/1/P13535_11303ccb49ab9cdbe073a6c3bb6c003f.pdf |