Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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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)
  • Received : 2009.10.27
  • Accepted : 2009.12.06
  • Published : 2010.05.30
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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

References

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