Application of the Variational Iteration Method for System of Initial Value Problems Delay Differential Equations

被引:0
作者
Yousef, Hamood. M. [1 ]
Ismail, A. I. B. Md. [1 ]
机构
[1] Univ Sains Malaysia, Sch Math Sci, Gelugor 11800, Pulau Pinang, Malaysia
来源
PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION | 2017年 / 1870卷
关键词
Variational Iteration Method; Lagrange Multipliers; System of Delay Differential Equations; Initial Value Problems;
D O I
10.1063/1.4995896
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Many attempts have been presented to solve the system of Delay Differential Equations (DDE) with Initial Value Problem. As a result, it has shown difficulties when getting the solution or cannot be solved. In this paper, a Variational Iteration Method is employed to find out an approximate solution for the system of DDE with initial value problems. The example illustrates convenient and an efficiency comparison with the exact solution.
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页数:6
相关论文
共 15 条
[1]  
Abassim N., 2004, THESIS
[2]   New applications of variational iteration method [J].
Abdou, MA ;
Soliman, AA .
PHYSICA D-NONLINEAR PHENOMENA, 2005, 211 (1-2) :1-8
[3]  
Chun C, 2008, INT J NONLIN SCI NUM, V9, P435
[4]  
El-Safty A., 2003, INT J COMPUTER MATH, V80
[5]  
He J.H., 1997, Communications in Nonlinear Science and Numerical Simulation, V2, P235
[6]   Variational iteration method for autonomous ordinary differential systems [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2000, 114 (2-3) :115-123
[7]   Variational iteration method - a kind of non-linear analytical technique: Some examples [J].
He, JH .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708
[8]   Variational approach to the sixth-order boundary value problems [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2003, 143 (2-3) :537-538
[9]   Variational iteration method: New development and applications [J].
He, Ji-Huan ;
Wu, Xu-Hong .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (7-8) :881-894
[10]   Variational iteration method - Some recent results and new interpretations [J].
He, Ji-Huan .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :3-17