The RKHSM for solving neutral functional–differential equations with proportional delays
The RKHSM for solving neutral functional–differential equations with proportional delays
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DOI：
10.1002/mma.2612
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发表时间：
2013-04
影响因子：
2.9
通讯作者：
Xueqin Lv;Yue Gao
中科院分区：
文献类型：
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作者：
Xueqin Lv;Yue Gao
本文将再生核Hilbert空间方法（RKHSM）应用于具有比例时滞的中立型泛函微分方程。它的近似解是通过截断精确解的n项得到的。算例表明了该方法的计算效率。我们还比较了该方法与特殊的Runge-Kutta方法，单腿θ-方法和变分迭代方法的性能。实验数据表明，RKHSM是求解比例时滞中立型泛函微分方程的一种精确有效的方法。版权所有© 2012约翰威利父子有限公司.
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. Copyright © 2012 John Wiley & Sons, Ltd.