Numerical solution of time fractional drug concentration equation in central nervous system

Abstract

The purpose of this paper is to develop the fractional order explicit finite difference scheme for time fractional drug concentration equation and obtain its numerical solution. Also, we prove that the scheme is conditionally stable and convergent. As an application of this scheme, numerical solutions of fractional order drug concentration equation in the Central Nervous System (CNS) is obtained and these are simulated graphically using Python.