On the application of homotopy perturbation method to differential equations

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

Cited by in corpus (11)

• Homotopy perturbation method: when infinity equals five
• On a simple approach to nonlinear oscillators
• Amazing variational approach to chemical reactions
• On Perturbation theory for the Fokker--Planck equation
• Perturbation approaches and Taylor series
• Nonsensical models for quantum dots
• About homotopy perturbation method for solving heat-like and wave-like equations with variable coefficients
• He's amazing calculations with the Ritz method
• On the exact calculation of travelling wave solutions to nonlinear evolution equations
• HAM and HPM: Another attack to reason
• On some approximate methods for nonlinear models