Construction and Convergence Analysis of Polynomial Spline Function of Degree Eight for Fractional Differential Equations

In the present work, a special spline interpolation of the eighth degree has been constructed, and then theorem of existence and error bounded for this polynomial has been proved. Convergence analysis of the eight-degree spline polynomial has been shown. Later we have shown that this method is a numerical way to achieve solution for fractional differential equations. In addition, the proficiency and competency of this method are illustrated by given numerical examples.