Improving the Accuracy of the Solutions of Riccati Equations

In this paper, we present an improved method for solving Riccati equations. This modification is based on the previous scheme to obtain the approximate solution of Riccati equations [B.Q. Tang and X.F. Li, A new method for determining the solution of Riccati differential equations, Appl. Math. Comput. 194 (2007) 431-440]. Some numerical illustrations are given to show the effectiveness and high accuracy of the proposed modification.