Application of He's homotopy perturbation method to nonlinear shock damper dynamics

DOI10.1007/s00419-009-0334-xzbMath1271.70052OpenAlexW2017368674MaRDI QIDQ363112

Mohammad Hasan, M. Dambrine

Publication date: 30 August 2013

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-009-0334-x

zbMATH Keywords

nonlinear differential equationnonlinear dampingenhanced HPM (EHPM)He's homotopy perturbation methodnonlinear springshock absorber

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Computational methods for problems pertaining to mechanics of particles and systems (70-08)

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Cites Work

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• Maintaining the stability of nonlinear differential equations by the enhancement of HPM
• A review of the decomposition method in applied mathematics
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• Homotopy perturbation method for bifurcation of nonlinear problems
• Homotopy perturbation method for solving boundary value problems
• The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
• Application of homotopy perturbation method to nonlinear wave equations