Cover Image

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Isah, Abdulnasir, Phang, Chang, Phang, Piau
Format: Article
Language:English
Published: Hindawi 2017
Subjects:
L Education (General)
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
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.uthm.eprints.4896
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 Differential Equations, 2017 (209731). pp. 1-10. https://doi.org/10.1155/2017/2097317
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic L Education (General)
spellingShingle L Education (General)
Isah, Abdulnasir
Phang, Chang
Phang, Piau
Collocation method based on genocchi operational matrix for solving generalized fractional pantograph equations
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
author Isah, Abdulnasir
Phang, Chang
Phang, Piau
author_facet Isah, Abdulnasir
Phang, Chang
Phang, Piau
author_sort Isah, Abdulnasir
title 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_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_sort collocation method based on genocchi operational matrix for solving generalized fractional pantograph equations
publisher Hindawi
publishDate 2017
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
_version_ 1738581311167135744
score 13.244199

Similar Items