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

Uttam Kharde, Kalyanrao Takale, Shrikrishna Gaikwad

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.

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Published: 2021-09-14

How to Cite this Article:

Uttam Kharde, Kalyanrao Takale, Shrikrishna Gaikwad, Numerical solution of time fractional drug concentration equation in central nervous system, J. Math. Comput. Sci., 11 (2021), 7317-7336

Copyright © 2021 Uttam Kharde, Kalyanrao Takale, Shrikrishna Gaikwad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

 

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