HAM and HPM: Another attack to reason

2009/12/15 by Francisco M. Fernández, Fernández, Francisco M.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0912.2973

arxiv created 2009/12/15 · openalex publication_date 2009/12/15 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We discuss two recent applications of homotopy analysis method and homotopy perturbation method and conclude that the results are completely useless from both mathematical and physical points of view.

Citations

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

Related

• On the application of homotopy perturbation method to differential equations
• Perturbation approaches and Taylor series
• Homotopy perturbation method: when infinity equals five
• Homotopy branching space and weak dihomotopy
• A Convenient Category for The Homotopy Theory of Concurrency