Solving Singular Bvps Ordinary Differential Equations by Modified Homotopy Perturbation Method
-
3329
Downloads
-
4512
Views
Authors
Mostafa Mahmoudi
- Higher Institute of Pouyandegandanesh, Chalous, Iran.
Mohammad V. Kazemi
- Higher Institute of Pouyandegandanesh, Chalous, Iran.
Abstract
In this paper, we use modified homotopy perturbation method to solving singular boundary value problems (BVP) of higher–order ordinary differential equations. The proposed method can be applied to linear and nonlinear problems.
The results prove that the modified HPM is a powerful tool for the solution of singular BVPs.
Share and Cite
ISRP Style
Mostafa Mahmoudi, Mohammad V. Kazemi, Solving Singular Bvps Ordinary Differential Equations by Modified Homotopy Perturbation Method, Journal of Mathematics and Computer Science, 7 (2013), no. 2, 138 - 143
AMA Style
Mahmoudi Mostafa, Kazemi Mohammad V., Solving Singular Bvps Ordinary Differential Equations by Modified Homotopy Perturbation Method. J Math Comput SCI-JM. (2013); 7(2):138 - 143
Chicago/Turabian Style
Mahmoudi, Mostafa, Kazemi, Mohammad V.. "Solving Singular Bvps Ordinary Differential Equations by Modified Homotopy Perturbation Method." Journal of Mathematics and Computer Science, 7, no. 2 (2013): 138 - 143
Keywords
- Singular boundary value problems
- homotopy perturbation method
- ordinary differential equations.
MSC
References
-
[1]
G. Adomain, Solving frontier problems of physics: the decomposition method, Kluwer. Boston, MA. (95e:00026), 60 (1994), 325
-
[2]
G. Adomian, Nonlinear Stochastic Operator Equations, Academic press, San Diego, CA (1986)
-
[3]
G. Adomain , A review of decomposition method and some recent results for nonlinear equation , Math. Comput, Modeling, 13(7) (1990), 17-43.
-
[4]
G. Adomain, R. Rach, Noise terms in decomposition series solution, Comput, Math. Appl., 24 (1992), 1161-64
-
[5]
G. Adomain, R. Rach, N.T. Shawagfeh, on the analytic solution of the Lane- Emden equation, Found. Phys, Lett., 8(2) (1995), 161-181
-
[6]
G. Adomian, R. Rach, Modified decomposition solution of linear and nonlinear boundary-value problems , Nonlinear Anal, 23(15) (1994), 615-9
-
[7]
M. Jafari, M. M. Hossaini, Seyed Tauseef Mahyud-Din, Solutios of nonlinear singular initial value problems by modified homotopy perturbation method, International Journal of the physical sciences , 6 (2011), 1528-1534.
-
[8]
Y. Q. Hasan, L. M. Zhu , Modified Adomian decomposition method for singular initial value problems in the second – order ordinary differential equations, Surveys in mathematics and its Applications, 3 (2008), 183-193.
-
[9]
Y. Q. Hasan, L. M. Zhu, Solving singular boundary value problem of higher-order ordinary differential equations by modified Adomian decomposition method, commun Nonlinear SciNumerSimul, 14 (2009), 2592-2596.
-
[10]
Y. Q. Hasan, L. M. Zhu, A note on the use of modified Adomian Decomposition method for solving singular boundary value problem of higher-order ordinary differential equations, Commun Nonlinear sciNumerSimul., 14 (2009), 3261-3265.
-
[11]
J. H. He, Homotopy perturbation method for solving boundary value problems, Physt.Lett, A350 (1-2) (2006), 87-88.
-
[12]
J. H. He, Application of Homotopy perturbation method to nonlinear wave equations, Chaossolution.Fract, 26(3) (2005), 695-700.
-
[13]
J. H. He, A coupling method of homotopy technique and perturbation technique for nonlinear problems, Int. J Non-linear mech., 35(1) (2000), 37-43.