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Variational iteration method applied to nonlinear coupled differential equations arising in conjoint normal-tumor cells


Article Information

Title: Variational iteration method applied to nonlinear coupled differential equations arising in conjoint normal-tumor cells

Authors: J. Michael Raj, S. Balamuralitharan

Journal: ARPN Journal of Engineering and Applied Sciences

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
X 2020-07-01 2021-06-30

Publisher: Khyber Medical College, Peshawar

Country: Pakistan

Year: 2020

Volume: 15

Issue: 3

Language: English

Categories

Abstract

In this paper, He’s variational iteration method is used to give approximate analytical solutions of coupled differential equations arising in conjoint normal-tumer cells. In this method, the Lagrange multipliers are derived to construct correction functional for the variational problems and thus, the solutions of the problems are obtained. Numerical results demonstrated the efficiency, accuracy and applicability of the methods. A good agreement with available limiting case results is noticed. This work aims to contribute to a deeper understanding of drug resistance effects on cancer progression through the analysis of a new mathematical model and the analytical expression with the computational simulation for a coupled tumor-normal cell framework.


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