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math-phAug 11, 2008
18
citations (OpenAlex)
authors
  • Francisco M. Fernández
arXiv abstractPDF
paper

On the application of homotopy--perturbation and Adomian decomposition methods to the linear and nonlinear Schrödinger equations

arXiv:0808.1515

Abstract

I discuss a recent application of homotopy perturbation and Adomian decomposition methods to the linear and nonlinear Schrödinger equations. I propose a generalization of the procedure for the treatment of a wider class of problems.

References in corpus (2)

  • On Some Perturbation Approaches to Population Dynamics
  • Perturbation Theory for Population Dynamics

Cited by in corpus (11)

  • 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
  • Homotopy perturbation method: when infinity equals five
  • Amazing variational approach to chemical reactions
  • On a simple approach to nonlinear oscillators
  • 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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