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 50 条

[1] Variational iteration method for solving partial differential equations with variable coefficients
Ali, A. H. A.
Raslan, K. R.
CHAOS SOLITONS & FRACTALS, 2009, 40 (03) : 1520 - 1529
[2] He's Variational Iteration Method for Solving Fractional Riccati Differential Equation
Jafari, H.
Tajadodi, H.
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 2010
[3] A modified variational iteration method for solving Riccati differential equations
Geng, Fazhan
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (07) : 1868 - 1872
[4] He's variational iteration method for solving hyperbolic differential equations
Biazar, J.
Ghazvini, H.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2007, 8 (03) : 311 - 314
[5] Solving Fractional Partial Differential Equations with Variable Coefficients by the Reconstruction of Variational Iteration Method
Hesameddini, Esmail
Rahimi, Azam
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2015, 70 (05): : 375 - 382
[6] Improvement of He's variational iteration method for solving systems of differential equations
Tatari, Mehdi
Dehghan, Mehdi
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2160 - 2166
[7] Variational Iteration Method for Delay Differential Equations Using He's Polynomials
Mohyud-Dina, Syed Tauseef
Yildirim, Ahmet
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (12): : 1045 - 1048
[8] An effective variational iteration algorithm for solving Riccati differential equations
Ghorbani, Asghar
Momani, Shaher
APPLIED MATHEMATICS LETTERS, 2010, 23 (08) : 922 - 927
[9] A piecewise variational iteration method for Riccati differential equations
Geng, Fazhan
Lin, Yingzhen
Cui, Minggen
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2518 - 2522
[10] Solving system of partial differential equations using variational iteration method with He's polynomials
Nadeem, Muhammad
Yao, Shao-Wen
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2019, 19 (03): : 203 - 211

← 1 2 3 4 5 →