Shifted Genocchi Polynomials Operational Matrix for Solving Fractional Order Stiff System

Isah, Abdulnasir (2021) Shifted Genocchi Polynomials Operational Matrix for Solving Fractional Order Stiff System. Journal of Physics: Conference Series.

Text (Research Article) Isah_2021_J._Phys.__Conf._Ser._2084_012023.pdf - Published Version Download (507kB)

Abstract

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.

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