Perturbation approaches and Taylor series

2009/10/01 by Francisco M. Fernández, Francisco M. Fernandez, Fernandez, Francisco M. · 1 citation
Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0910.0149

arxiv created 2009/10/01 · openalex publication_date 2009/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We comment on the new trend in mathematical physics that consists of obtaining Taylor series for fabricated linear and nonlinear unphysical models by means of homotopy perturbation method (HPM), homotopy analysis method (HAM) and Adomian decomposition method (ADM). As an illustrative example we choose a recent application of the HPM to a dynamic system of anisotropic elasticity.

Citations

• On the application of homotopy perturbation method to differential equations
• On Some Perturbation Approaches to Population Dynamics
• On the homotopy perturbation method for Boussinesq-like equations

Cited by

• HAM and HPM: Another attack to reason

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