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.

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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

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article

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

M. M. Khader, Mohamed Adel, Mohammed Messaoudi
European Journal of Pure and Applied Mathematics
Fractional Differential Equations Solutions
article

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

M. M. Khader, Mohamed Adel, Mohammed Messaoudi
article en

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.

European Journal of Pure and Applied MathematicsVol. 18(2)
Imam Mohammad ibn Saud Islamic University (SA), Islamic University of Madinah (SA)
Islamic University of Madinah
Openalex Percentile: Top 89%
Fractional Differential Equations Solutions
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Numerical Investigation based on the Chebyshev-Homotopy Perturbation Method for the Breast Cancer as a Mathematical Model — M. M. Khader, Mohamed Adel, et al. · European Journal of Pure and Applied Mathematics (2025) | TGRS Research Map | TGRS