jzs-10825

Quintic B-spline polynomial for Solving Bagely-Torvik Fractional Differential Problems

Faraidun K. Hamasalh*1 and Karzan Abdulrahman Hamzah2

1Department of Mathematics, College of Education, University of Sulaimani- Sulaimani-Kurdistan region Iraq

2Ministry of Education, Azmar College for Gifted Students

*Corresponding author’s e-mail: faraidun.hamasalh@univsul.edu.iq

Original: 25 January 2020        Revised: 17 August 2020        Accepted: 26 September 2020        Published online: 20 December 2020

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Abstract

In this paper, we use Quintic B-spline function to drive some error analysis of fractional derivatives and finding numerical solution for certain type fractional differential equations. It is know that a class of control points related to the modulus of continuity can be found by matrices operations, and discuss the error estimations for numerical solutions finding by using quantic B-spline to be in good agreement with the exact solutions. Results are shown graphically and illustrated the method by several examples.

Key Words: Quintic B- spline, control points, Fractional derivative, Taylor series, Convergence analysis

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