Hossein soleimani

Hossein Jafari | University of South Africa - Academia.edu.

On analyzing two dimensional fractional order brain tumor model based on orthonormal Bernoulli polynomials and Newton's method

Authors

DOI:

https://doi.org/10.11121/ijocta.1409

Keywords:

Brain tumor, Operational matrix, Orthonormal Bernoulli polynomials, Fractional Caputo derivative

Abstract

Recently, modeling problems in various field of sciences and engineering with the help of fractional calculus has been welcomed by researchers.

One of these interesting models is a brain tumor model.

Hossein JAFARI | Research Scientist | Doctor of …

In this framework, a two dimensional expansion of the diffusion equation and glioma growth is considered. The analytical solution of this model is not an easy task, so in this study, a numerical approach based on the operational matrix of conventional orthonormal Bernoulli polynomials (OBPs) has been used to estimate the solution of this model.

As an important advantage of the pr