Application of the Homotopy Perturbation Sumudu Transformation Method Approach to the Time-Fractional Cahn-Hilliard Equation with a Double-Obstacle Potential

Authors

  • Kamal Ait Touchent Abdelmalek Essaadi University, Av. Khenifra, T´etouan 93000, Morocco
  • Mustapha Bouallala Cadi Ayyad University, Marrakesh, Morocco
  • Lakbir Essafi Sultan Mulay Slimane University, Khouribga, 25000, Morocco

DOI:

https://doi.org/10.25728/assa.2026.2026.3.2097

Keywords:

Cahn-Hilliard, Sumudu Transform, He polynomials, Homotopy perturbation method, Time-Fractional Derivatives

Abstract

The model for the Cahn-Hilliard equation that we present in this study incorporates a time-fractional derivative, as defined by Caputo. The Sumudu transform, Homotopy perturbation, and He’s polynomials are integrated in a novel way to discover the solutions for this fractional nonlinear problem in both one and two dimensions. We show the findings from numerical simulations for each dimension in order to examine the patterns and behaviors of the system in different scenarios. 

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Published

2026-10-01

Issue

Vol. 2026 No. 3 (2026): Advances in Systems Science and Applications

Section

Articles

How to Cite

Application of the Homotopy Perturbation Sumudu Transformation Method Approach to the Time-Fractional Cahn-Hilliard Equation with a Double-Obstacle Potential. (2026). Advances in Systems Science and Applications, 2026(3), 157-173. https://doi.org/10.25728/assa.2026.2026.3.2097