Collocation method based on genocchi operational matrix for solving generalized fractional pantograph equations
An effective collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations with initial and boundary conditions is presented. Using the properties of Genocchi polynomials, we derive a new Genocchi delay operational matrix which we used together with...
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| Format: | Article |
| Language: | en |
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Hindawi
2017
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| Online Access: | http://eprints.uthm.edu.my/4896/1/AJ%202017%20%28223%29%20Collocation%20method%20based%20on%20genocchi.pdf http://eprints.uthm.edu.my/4896/ https://doi.org/10.1155/2017/2097317 |
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| author | Isah, Abdulnasir Phang, Chang Phang, Piau |
| author_facet | Isah, Abdulnasir Phang, Chang Phang, Piau |
| author_sort | Isah, Abdulnasir |
| building | UTHM Library |
| collection | Institutional Repository |
| content_provider | Universiti Tun Hussein Onn Malaysia |
| content_source | UTHM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | An effective collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations with initial and boundary conditions is presented. Using the properties of Genocchi polynomials, we derive a new Genocchi delay operational matrix which we used together with the Genocchi operational matrix of fractional derivative to approach the problems. The error upper bound for the Genocchi operational matrix of fractional derivative is also shown. Collocation method based on these operational matrices is applied to reduce the generalized fractional pantograph equations to a system of algebraic equations. The comparison of the numerical results with some existing methods shows that the present method is an excellent mathematical tool for finding the numerical solutions of generalized fractional pantograph equations. |
| format | Article |
| id | my.uthm.eprints-4896 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | en |
| publishDate | 2017 |
| publisher | Hindawi |
| record_format | eprints |
| spelling | my.uthm.eprints-48962021-12-23T06:19:53Z http://eprints.uthm.edu.my/4896/ Collocation method based on genocchi operational matrix for solving generalized fractional pantograph equations Isah, Abdulnasir Phang, Chang Phang, Piau L Education (General) An effective collocation method based on Genocchi operational matrix for solving generalized fractional pantograph equations with initial and boundary conditions is presented. Using the properties of Genocchi polynomials, we derive a new Genocchi delay operational matrix which we used together with the Genocchi operational matrix of fractional derivative to approach the problems. The error upper bound for the Genocchi operational matrix of fractional derivative is also shown. Collocation method based on these operational matrices is applied to reduce the generalized fractional pantograph equations to a system of algebraic equations. The comparison of the numerical results with some existing methods shows that the present method is an excellent mathematical tool for finding the numerical solutions of generalized fractional pantograph equations. Hindawi 2017 Article PeerReviewed text en http://eprints.uthm.edu.my/4896/1/AJ%202017%20%28223%29%20Collocation%20method%20based%20on%20genocchi.pdf Isah, Abdulnasir and Phang, Chang and Phang, Piau (2017) Collocation method based on genocchi operational matrix for solving generalized fractional pantograph equations. International Journal of Diļ¬erential Equations, 2017 (209731). pp. 1-10. https://doi.org/10.1155/2017/2097317 |
| spellingShingle | L Education (General) Isah, Abdulnasir Phang, Chang Phang, Piau Collocation method based on genocchi operational matrix for solving generalized fractional pantograph equations |
| title | Collocation method based on genocchi operational matrix for solving generalized fractional pantograph equations |
| title_full | Collocation method based on genocchi operational matrix for solving generalized fractional pantograph equations |
| title_fullStr | Collocation method based on genocchi operational matrix for solving generalized fractional pantograph equations |
| title_full_unstemmed | Collocation method based on genocchi operational matrix for solving generalized fractional pantograph equations |
| title_short | Collocation method based on genocchi operational matrix for solving generalized fractional pantograph equations |
| title_sort | collocation method based on genocchi operational matrix for solving generalized fractional pantograph equations |
| topic | L Education (General) |
| url | http://eprints.uthm.edu.my/4896/1/AJ%202017%20%28223%29%20Collocation%20method%20based%20on%20genocchi.pdf http://eprints.uthm.edu.my/4896/ https://doi.org/10.1155/2017/2097317 |
| url_provider | http://eprints.uthm.edu.my/ |