Método de Linearização Local - Runge Kutta para DDE

A method is proposed to solved Delay Differential Equations. It consists of combining the Local Linearization (LL) method with the continuous Runge-Kutta method. For this, an auxiliary ODE is defined to represent the residual left by the LL approximation and the continuous Runge-Kutta method is used to approximate this ODE. In this way, a method with a higher order of convergence than the LL method is obtained, without loss of its stability