He's Variational Iteration Method for Solving Riccati Matrix Delay Differential Equations of Variable Coefficients

被引：6

作者：

Mohammedali, Khalid Hammood ^{[1
]}

Ahmad, Noor Atinah ^{[2
]}

Fadhel, Fadhel S. ^{[3
]}

机构：

[1] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia

[2] Univ Sains Malaysia, Sch Math Sci, Minden 11800, Penang, Malaysia

[3] Al Nahrain Univ, Dept Math & Comp Applicat, Coll Sci, Baghdad, Iraq

来源：

4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES (ICMS4): MATHEMATICAL SCIENCES: CHAMPIONING THE WAY IN A PROBLEM BASED AND DATA DRIVEN SOCIETY | 2017年 / 1830卷

关键词：

HOMOTOPY PERTURBATION METHOD;

D O I：

10.1063/1.4980892

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will introduce an approximate solution of nonhomogeneous Riccati matrix differential equations with time delay using one of He's iterative methods, namely, variational iteration method. The solution of the considered model of the Riccati differential equation are evaluated in the form of a convergent series with iterated components and also derive the sequence of variational iteration formula and prove it convergent. In addition, illustrative examples are considered and solved in connection with the method of steps for solving delay differential equation.

引用

页数：10

共 33 条

[1] Iterated He's homotopy perturbation method for quadratic Riccati differential equation
Abbasbandy, S.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 175 (01) : 581 - 589
[2] Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method
Abbasbandy, S
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) : 485 - 490
[3] Aminkhah H., 2010, NONLINEAR SCI NUMER, V15, P835, DOI DOI 10.1016/j.cnsns.2009.05.009
[4] Numerical solution of functional integral equations by the variational iteration method
Biazar, Jafar
Porshokouhi, Mehdi Gholami
Ghanbari, Behzad
Porshokouhi, Mohammad Gholami
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (08) : 2581 - 2585
[5] Brauer F., 1973, Ordinary Differential Equations: a First Course, V2
[6] Breda D., 2015, STAB LIN DEL DIFF EQ
[7] Series solutions of non-linear Riccati differential equations with fractional order
Cang, Jie
Tan, Yue
Xu, Hang
Liao, Shi-Jun
[J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (01) : 1 - 9
[8] Davod K. S., 2010, CONVERGENCE VARIATIO, V27, P1442
[9] Elsgolc L. E., 1964, T MATH MONO, V12
[10] Elsgolts LE., 1973, Introduction to the Theory and Application of Differential Equations with Deviating Arguments

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