The RKHSM for solving neutral functional-differential equations with proportional delays

摘要

In this paper, the reproducing kernel Hilbert space method (RKHSM) is applied to neutral functional-differential equations with proportional delays. Its approximate solution is obtained by truncating the n-term of exact solution. Some examples are displayed to demonstrate the computation efficiency of the method. We also compare the performance of the method with a particular Runge-Kutta method, a one-leg θ-method and variational iteration method. Experiment dates indicate that the RKHSM is an accurate and efficient method to solve neutral functional-differential equations with proportional delays.