A multistage successive approximation method for Riccati differential equations

Riccati differential equations have played important roles in the theory and practice of control systems engineering. Our goal this paper is to propose a new multistage successive approximation method for solving equations. The derived from an existing piecewise variational iteration simpler terms computing implementation comparison with method. Computational tests show that order accuracy can be made higher by simply taking more number iterations evolution. Furthermore, small size each subinterval large evolution lead our proposed produces error becomes high accurate.