Application of homotopy perturbation method to solve linear and non-linear systems of ordinary differential equations and differential equation of order three

被引：0

作者：

Ganji, D.D. ^{[1
]}

Mirgolbabaei, Hesam ^{[2
,4
]}

Miansari, Me. ^{[3
]}

Miansari, Mo. ^{[1
]}

机构：

[1] Department of Mechanical Engineering, Mazandaran University, Babol

[2] Department of Mechanical Engineering, K. N. Toosi University of Technology, Mollasadra, Tehran

[3] Islamic Azad University of Ghaemshahr, Ghaemshahr

[4] Babol 4718767863, No. 40, Tohid 26, Janbazan blvd.

来源：

Journal of Applied Sciences | 2008年 / 8卷 / 07期

关键词：

Homotopy perturbation method; Nonlinear; Ordinary differential equations; Systems of differential equations; Third order differential equation;

D O I：

10.3923/jas.2008.1256.1261

中图分类号：

学科分类号：

摘要：

In this study, Homotopy Perturbation Method (HPM) is implemented to solve system of differential equations. The HPM deforms a difficult problem into a simple problem which can be easily solved. The results are compared with the results obtained by exact solutions and Adomian's decomposition method. The results reveal that the HPM is very effective, convenient and quite accurate to systems of nonlinear equations. Some examples are presented to show the ability of the method for linear and non-linear systems of differential equations. © 2008 Asian Network for Scientific Information.

引用

页码：1256 / 1261

页数：5

共 23 条

[1]

Abbasbandy S., Numerical solutions of the integral equations: Homotopy perturbation method and Adomian's decomposition method, Applied Math. Comput, 173, 1, pp. 493-500, (2006)

[2]

Abbasbandy S., Iterated He's homotopy perturbation method for quadratic Riccati differential equation, Applied Math. Comput, 175, 1, pp. 581-589, (2006)

[3]

Abbasbandy S., Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method, Applied Math. Comput, 172, 1, pp. 485-490, (2006)

[4]

Biazar J., Babolian E., Islam R., Solution of the system of ordinary differential equations by Adomian decomposition method, Applied Math. Comput, 147, 3, pp. 713-719, (2004)

[5]

Duran A., Monteagudo J.M., Modelling soot and SOF emissions from a diesel engine, Chemosphere, 56, 3, pp. 209-225, (2004)

[6]

Ganji D.D., Rafei M., Solitary wave solutions for a generalized Hirota. Satsuma coupled KdV equation by homotopy perturbation method, Phys. Lett., A, 356, 2, pp. 131-137, (2006)

[7]

Gerstmayr J., Irschik H., Vibrations of the elasto-plastic pendulum, Int. J. Nonl. Mech, 38, 1, pp. 111-122, (2003)

[8]

Gorji M., Ganji D.D., Soleimani S., New Application of He's homotopy perturbation method, Int. J. Nonl. Sci. Num. Sim, 8, 3, pp. 319-325, (2007)

[9]

He J.H., Homotopy perturbation technique, Comput. Meth. Applied Mech. Eng, 178, 3-4, pp. 257-262, (1999)

[10]

He J.H., A coupling method ot homotopy technique and perturbation technique for nonlinear problems, Int. J. Nonl. Mech, 351, 1, pp. 37-43, (2000)

← 1 2 3 →