In this paper, a numerical method for solving LNFODE (Linear Non-homogenous Fractional Ordinary Differential Equation) is presented. The method presented is based on Bernstein polynomials approximation. The operational matrices of integration, differentiation and products are introduced and utilized to reduce the LNFODE problem in order to solve algebraic equations. The method is general, easy to implement, and yields very accurate results. Illustrative examples are included to demonstrate the validity and applicability of the technique.
Parsa Moghaddam, Behrouz and Aghili, Arman
"A numerical method for solving Linear Non-homogenous Fractional Ordinary Differential Equation by using the operational matrices of the Bernstein polynomials,"
Applied Mathematics & Information Sciences: Vol. 06:
3, Article 8.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol06/iss3/8