Efficient Numerical Solutions for Breast Cancer Model

Authors

  • Tagreed Assiri Umm Al-Qura University

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5387

Keywords:

Immune-chemotherapeutic treatment; Breast cancer; Caputo-Fabrizio fractional derivative; Numerical integration; RK4M

Abstract

We know that mathematical modeling is a serious agent to realize the dynamics of Breast Cancer development, spread, and educe new therapeutic approaches. The main target of this study is to use Simpson’s 1/3 rule as an efficient numerical scheme for integration to numerically treat the obtained fractional integral equations and reduce them to a set of algebraic
equations. The fractional derivatives here are taken in the Caputo-Fabrizio (CF) sense. Particular assurance is located on elucidating the error analysis of the given scheme. The results acquired by implementing the Runge-Kutta method (RK4M) are compared to those obtained using the achieved results. The results explain that the implemented scheme offers a precise and effective agent for simulating this model. The primary benefit of the implemented method is that it relies on a small number of uncomplicated steps and does not have long-term effects.

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Published

2024-10-31

Issue

Section

Nonlinear Analysis

How to Cite

Efficient Numerical Solutions for Breast Cancer Model. (2024). European Journal of Pure and Applied Mathematics, 17(4), 2706-2719. https://doi.org/10.29020/nybg.ejpam.v17i4.5387