关键词:  变分迭代法, 时滞微分方程, 收敛性, Runge-Kutte法

Abstract:

 The variational iteration method was applied to solving functional differential equations with vanishing delays. After determining an appropriate Lagrange multiplier, the approximate solutions can be readily obtained. Sufficient conditions are given to guarantee the convergence of the method. Furthermore, the numerical experiment was also carried out to illustrate the main result.

Key words: variational iteration method, functional differential equations, convergence, RungeKutte method