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math-phOct 18, 2008
8
citations (OpenAlex)
authors
  • Francisco M. Fernandez
arXiv abstractPDF
paper

Homotopy perturbation method: when infinity equals five

arXiv:0810.3318

Abstract

I discuss a recent application of homotopy perturbation method to a heat transfer problem. I show that the authors make infinity equal five and analyze the consequences of that magic.

References in corpus (5)

  • On Some Perturbation Approaches to Population Dynamics
  • On the application of homotopy--perturbation and Adomian decomposition methods to the linear and nonlinear Schrödinger equations
  • On the application of homotopy perturbation method to differential equations
  • On the application of the variational iteration method to a prey and predator model with variable coefficients
  • Perturbation Theory for Population Dynamics

Cited by in corpus (6)

  • Amazing variational approach to chemical reactions
  • On Perturbation theory for the Fokker--Planck equation
  • Comment on the numerical solutions of a new coupled MKdV system (2008 Phys. Scr. 78 045008)
  • About homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients
  • On the exact calculation of travelling wave solutions to nonlinear evolution equations
  • HAM and HPM: Another attack to reason
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