Authors: Archana Varsoliwala; Twinkle Singh
Addresses: Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Surat-395 007, Gujarat, India ' Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Surat-395 007, Gujarat, India
Abstract: The current work involves the study of brain tumour growth (glioblastoma), which is a very aggressive brain tumour. The mathematical model is mainly based on two parameters - the diffusion and growth of tumour cells. Based on various medical studies conducted by researchers, which demonstrate that the combination of radiotherapy and chemotherapy can lead to negative tumour growth. This study uses the Adomian Decomposition Method and its convergence analysis to obtain an approximate solution of equation governing tumour growth. The result is consistent with the physical phenomenon of tumour growth, in which tumour concentration increases linearly after a patient is treated with combination therapy as opposed to rapid exponential growth.
Keywords: Adomian Decomposition Method; Burgess equation; Adomian polynomials; non-linear partial differential equation.
International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.3, pp.267 - 280
Accepted: 03 Mar 2021
Published online: 02 Sep 2022 *