Quintic and Septic $C^2$-spline methods for initial fractional differential equations

Abstract

In this paper, we developed Quintic and Septic C2C2-spline methods for solving initial fractional differential equations. The convergence analysis of the methods is discussed. Illustrative examples are included to demonstrate the validity and applicability of the presented techniques. Our numerical results were compared with those in the recent literature.

Keywords

• Fractional -differential equation; Quintic and Septic C2-splines; Convergence analysis.