Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method

被引：158

作者：

Abbasbandy, S ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 34194, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 172卷 / 01期

关键词：

Riccati equation; homotopy perturbation method; Adomian decomposition method;

D O I：

10.1016/j.amc.2005.02.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a homotopy perturbation method is proposed to solve quadratic Riccati differential equation. Comparisons are made between Adomian's decomposition method (ADM) and the exact solution and the proposed method. The results reveal that the proposed method is very effective and simple. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：485 / 490

页数：6

共 14 条

[1] ON THE SOLUTION OF ALGEBRAIC EQUATIONS BY THE DECOMPOSITION METHOD
ADOMIAN, G
RACH, R
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 105 (01) : 141 - 166
[2] Adomian G., 1994, SOLVING FRONTIER PRO
[3] [Anonymous], 1998, Commun. Nonlinear Sci. Numer. Simulat, DOI [10.1016/S1007-5704(98)90070-3, DOI 10.1016/S1007-5704(98)90070-3]
[4] Solving Riccati differential equation using Adomian's decomposition method
El-Tawil, MA
Bahnasawi, AA
Abdel-Naby, A
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (02) : 503 - 514
[5] He J. H., 2000, INT J NONLIN SCI NUM, V1, P51, DOI DOI 10.1515/IJNSNS.2000.1.1.51
[6] Variational iteration method - a kind of non-linear analytical technique: Some examples
He, JH
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) : 699 - 708
[7] Comparison of homotopy perturbation method and homotopy analysis method
He, JH
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (02) : 527 - 539
[8] The homotopy perturbation method for nonlinear oscillators with discontinuities
He, JH
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (01) : 287 - 292
[9] A coupling method of a homotopy technique and a perturbation technique for non-linear problems
He, JH
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2000, 35 (01) : 37 - 43
[10] Homotopy perturbation technique
He, JH
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 178 (3-4) : 257 - 262

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