Shifted genocchi polynomials operational matrix for solving fractional order stiff system

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.

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Abstract

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.

Item Type:	Conference or Workshop Item (Paper)
Uncontrolled Keywords:	Fractional order stiff system; operational matrix; shifted Genocchi polynomials;
Subjects:	T Technology > TA Engineering (General). Civil engineering (General) > TA401-492 Materials of engineering and construction. Mechanics of materials
Divisions:	Faculty of Applied Science and Technology > Department of Mathematics and Statistics
Depositing User:	Mr. Abdul Rahim Mat Radzuan
Date Deposited:	14 Mar 2022 01:16
Last Modified:	14 Mar 2022 01:16
URI:	http://eprints.uthm.edu.my/id/eprint/6630

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