The RKHSM for solving neutral functional–differential equations with proportional delays | Zendy

Lv Xueqin | Zendy; Gao Yue | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

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.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research