Approximate Solution of Sub diffusion Bio heat Transfer Equation

Authors

Jagdish Sonawane, Department of Mathematics, GES R.H. SAPAT College of Engineering, Management Studies and Research, Nashik-5 (M.S.), India.Follow
Bahusaheb Sontakke, Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, Aurangabad, (M.S.), India.Follow
Kalyanrao Takale, Department of Mathematics, RNC Arts, JDB Commerce and NSC Science College, Nashik-Road, Nashik, India.Follow

Abstract

In this paper, author’s study sub diffusion bio heat transfer model and developed explicit finite difference scheme for time fractional sub diffusion bio heat transfer equation by using caputo fabrizio fractional derivative. Also discussed conditional stability and convergence of developed scheme. Furthermore numerical solution of time fractional sub diffusion bio heat transfer equation is obtained and it is represented graphically by Python.

Keywords

Bio heat equation, Caputo –Fabrizio fractional derivatives, Fractional Differential Equation, Python, Sub diffusion, Finite difference Method

Article Type

Special Issue Article

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite this Article

Sonawane, Jagdish; Sontakke, Bahusaheb; and Takale, Kalyanrao (2023) "Approximate Solution of Sub diffusion Bio heat Transfer Equation," Baghdad Science Journal: Vol. 20: Iss. 1, Article 35.
DOI: https://doi.org/10.21123/bsj.2023.8410