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The RKHSM for solving neutral functional–differential equations with proportional delays
Author(s) -
Lv Xueqin,
Gao Yue
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2612
Subject(s) - mathematics , computation , hilbert space , kernel (algebra) , runge–kutta methods , differential equation , reproducing kernel hilbert space , functional differential equation , mathematical analysis , algorithm , pure mathematics
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.