Open AccessShifted Genocchi Polynomials Operational Matrix for Solving Fractional Order Stiff System
Author(s) -
Abdulnasir Isah,
Chang Phang
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2084/1/012023
Subject(s) - mathematics , collocation (remote sensing) , orthogonal polynomials , classical orthogonal polynomials , jacobi polynomials , gegenbauer polynomials , discrete orthogonal polynomials , difference polynomials , matrix (chemical analysis) , pure mathematics , mathematical analysis , algebra over a field , computer science , machine learning , materials science , composite material
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.