A New Technique for Solving Nonlinear Partial Differential Equations Using the Homotopy Perturbation Method

Authors

  • Khalid Farhan Department of Biomedical Engineering, Shatrah University College of Engineering, Shatrah Thi-Qar, Iraq.
  • Mohammed Taimah
  • Naser Rhaif

DOI:

https://doi.org/10.32792/jeps.v15i2.679

Keywords:

Adomian Decomposition, Homotopy Perturbation Method, Partial Differential Equations

Abstract

In this paper, Homotopy Perturbation Method (HPM) is used to solve partial differential equations with nonlinear terms. A new assumption for handling the nonlinear part is proposed, which differs from Adomian’s assumption and is characterized by its simplicity and ease of application. This technique enables the efficient and effective solution of complex mathematical equations and systems.

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Published

2025-06-01