A high order schema for the numerical solution of the fractional ordinary differential equations

摘要: In this paper we present a general technique to construct high order schemes for the numerical solution of fractional ordinary differential equations (FODEs). This is based on so-called block-by-block approach, which common method integral equations. our classical approach improved in avoiding coupling unknown solutions at each block step with an exception first two steps, while preserving good stability property schemes. By using new are able schema FODEs @a,@a>0. The and convergence rigorously established. We prove that converges exact 3+@a 0 1. A series examples provided support theoretical claims.