Numerical simulation of brain tumor growth model using two-stage Gauss-Seidel method

Abstract

In the recent years, the study of glioma growth to be an active field of research Mathematical models that describe the proliferation and diffusion properties of the growth have been developed by many researchers. In this work, the performance analysis of two-stage Gauss-Seidel (TSGS) method to solve the glioma growth model is investigated. The governing model is discretized by using Backward Time Central Space (BTCS) scheme. The proposed method is developed by using MATLAB software and some numerical simulations have been conducted. The findings show that the TSGS method is better than the standard Gauss-Seidel (GS) method in terms of number of iterations and computational time.

Keywords: backward time central space scheme; Gauss-Seidel method; two-stage
Gauss-Seidel method.