Shifted genocchi polynomials operational matrix for solving fractional order stiff system

In this paper, we solve the fractional order stiff system using shifted Genocchi poly�nomials 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 prop�erties of shifted Genocc...

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Main Authors: Isah, Abdulnasir, Chang Phang, Chang Phang
Format: Conference or Workshop Item
Language:English
Published: 2021
Subjects:
Online Access:http://eprints.uthm.edu.my/6506/
http://eprints.uthm.edu.my/6506/1/P13535_11303ccb49ab9cdbe073a6c3bb6c003f.pdf
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author Isah, Abdulnasir
Chang Phang, Chang Phang
author_facet Isah, Abdulnasir
Chang Phang, 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 poly�nomials 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 prop�erties of shifted Genocchi polynomials which inherit from classical Genocchi polynomials, the shifted Genocchi polynomials operational matrix of fractional derivative will be derived. Collo�cation 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 2025-11-15T20:16:29Z
format Conference or Workshop Item
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institution Universiti Tun Hussein Onn Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T20:16:29Z
publishDate 2021
recordtype eprints
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spelling uthm-65062022-02-28T00:24:37Z http://eprints.uthm.edu.my/6506/ Shifted genocchi polynomials operational matrix for solving fractional order stiff system Isah, Abdulnasir Chang Phang, Chang Phang T55.4-60.8 Industrial engineering. Management engineering In this paper, we solve the fractional order stiff system using shifted Genocchi poly�nomials 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 prop�erties of shifted Genocchi polynomials which inherit from classical Genocchi polynomials, the shifted Genocchi polynomials operational matrix of fractional derivative will be derived. Collo�cation 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/6506/1/P13535_11303ccb49ab9cdbe073a6c3bb6c003f.pdf Isah, Abdulnasir and Chang Phang, Chang Phang (2021) Shifted genocchi polynomials operational matrix for solving fractional order stiff system. In: 241st ECS Meeting, May 29- June 2 2022, Canada. http://doi.org/10.1088/1742-6596/2084/1/012023
spellingShingle T55.4-60.8 Industrial engineering. Management engineering
Isah, Abdulnasir
Chang Phang, 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 T55.4-60.8 Industrial engineering. Management engineering
url http://eprints.uthm.edu.my/6506/
http://eprints.uthm.edu.my/6506/
http://eprints.uthm.edu.my/6506/1/P13535_11303ccb49ab9cdbe073a6c3bb6c003f.pdf