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math-phSep 3, 2008
16
citations (OpenAlex)
authors
  • Francisco M. Fernandez
arXiv abstractPDF
paper

On the application of homotopy perturbation method to differential equations

arXiv:0808.2078

Abstract

We show that a recent application of homotopy perturbation method to a class of ordinary differential equations yields either useless or wrong results.

References in corpus (3)

  • On Some Perturbation Approaches to Population Dynamics
  • On the application of homotopy--perturbation and Adomian decomposition methods to the linear and nonlinear Schrödinger equations
  • Perturbation Theory for Population Dynamics

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  • On Perturbation theory for the Fokker--Planck equation
  • Perturbation approaches and Taylor series
  • He's amazing calculations with the Ritz method
  • About homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients
  • On some approximate methods for nonlinear models
  • On the exact calculation of travelling wave solutions to nonlinear evolution equations
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