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

被引：15
|
作者：
Lv, Xueqin [1 ]
Gao, Yue [1 ]
机构：
[1] Harbin Normal Univ, Sch Math & Sci, Harbin 150025, Heilongjiang, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2013年 / 36卷 / 06期
基金：
中国国家自然科学基金;
关键词：
RKHSM; neutral functionaldifferential equations; proportional delay; LEG THETA-METHODS; INTEGRAL-EQUATION; STABILITY;
D O I：
10.1002/mma.2612
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the reproducing kernel Hilbert space method (RKHSM) is applied to neutral functionaldifferential 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 RungeKutta method, a one-leg -method and variational iteration method. Experiment dates indicate that the RKHSM is an accurate and efficient method to solve neutral functionaldifferential equations with proportional delays. Copyright (c) 2012 John Wiley & Sons, Ltd.
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页码：642 / 649
页数：8
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