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THE VARIATIONAL HOMOTOPY PERTURBATION METHOD FOR ANALYTIC TREATMENT FOR LINEAR AND NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS  

Matinfar, Mashallah (Department of Mathematics, Mazandaran University)
Mahdavi, M. (Department of Mathematics, Mazandaran University)
Raeisi, Z. (Department of Mathematics, Mazandaran University)
Publication Information
Journal of applied mathematics & informatics / v.28, no.3_4, 2010 , pp. 845-862 More about this Journal
Abstract
In a recent paper, M.A. Noor et al. (Hindawi publishing corporation, Mathematical Problems in Engineering, Volume 2008, Article ID 696734, 11 pages, doi:10.1155/2008/696734) proposed the variational homotopy perturbation method (VHPM) for solving higher dimentional initial boundary value problems. In this paper, we consider the proposed method for analytic treatment of the linear and nonlinear ordinary differential equations, homogeneous or inhomogeneous. The results reveal that the proposed method is very effective and simple and can be applied for other linear and nonlinear problems in mathematical.
Keywords
Variational homotopy perturbation method; Riccati equation; Lagrange multiplier;
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