2 - Two-steps Lagrange polynomial interpolation: numerical scheme

Abstract

In this chapter, we present different numerical schemes obtained while using two-steps Lagrange interpolation polynomial. The numerical schemes are derived for different classes of ordinary differential equations, including differential equations with integer orders, differential equations with power-law fractional orders, differential equations with exponential decay, ordinary differential equations with the generalized Mittag-Leffler kernel. Some illustrative examples are presented for different classes of ordinary differential equations.