Numerical Investigation based on the Chebyshev-Homotopy Perturbation Method for the Breast Cancer as a Mathematical Model
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.
Authors
- M. M. Khader
- Mohamed Adel (ORCID: https://orcid.org/0000-0001-7069-697X)
- Mohammed Messaoudi (ORCID: https://orcid.org/0000-0002-3536-6358)
Institutions
- Imam Mohammad ibn Saud Islamic University (SA)
- Islamic University of Madinah (SA)
Publication Details
- Journal
- European Journal of Pure and Applied Mathematics
- Published
- 2025-05-01
- DOI
- https://doi.org/10.29020/nybg.ejpam.v18i2.6166
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Islamic University of Madinah