Numerical Investigation based on the Chebyshev-Homotopy Perturbation Method for the Breast Cancer as a Mathematical Model

Authors

  • Mohamed Adel Department of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, Saudi Arabia
  • M. M. Khader Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia
  • M. Messaoudi Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.6166

Keywords:

Breast cancer, Homotopy perturbation method, Chebyshev expansion, Convergence analysis, RK4 method

Abstract

We present the approximate solution for mathematical model for Breast Cancer (BC) over three time intervals. The suggested approach depends homotopy perturbation method developed with Chebyshev series (CHPM). Special attention to give the convergence analysis of the CHPM. The residual error function (REF) is calculated and used as a basic criterion in evaluating the efficiency/accuracy of the presented numerical scheme. We utilize the exact solution for comparison with the results of the method used. Through these results, we can confirm that the applied technique is an effective tool to give a simulation of such models. To confirm the validity and usefulness of the proposed procedure, illustrative instances are given.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Mathematical Modeling and Numerical Analysis

License

Copyright (c) 2025 Mohamed Adel, M. M. Khader, M. Messaoudi

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How to Cite

Numerical Investigation based on the Chebyshev-Homotopy Perturbation Method for the Breast Cancer as a Mathematical Model. (2025). European Journal of Pure and Applied Mathematics, 18(2), 6166. https://doi.org/10.29020/nybg.ejpam.v18i2.6166