Numerical Solution of Fractional Bioheat Equation with Constant and Sinusoidal Heat Flux Condition on Skin Tissue

R. S. Damor¹, Sushil Kumar¹ and A. K. Shukla^1,

¹Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat, India

Cite this paper:
R. S. Damor, Sushil Kumar and A. K. Shukla. Numerical Solution of Fractional Bioheat Equation with Constant and Sinusoidal Heat Flux Condition on Skin Tissue. American Journal of Mathematical Analysis. 2013; 1(2):20-24. doi: 10.12691/ajma-1-2-1

Abstract

Heat transfer in skin tissue is an area of interest for medical sciences. In this paper we intend to study fractional bioheat equation for heat transfer in skin tissue with constant and sinusoidal heat flux condition on skin surface. Numerical solutions are obtained by implicit finite difference method. We study the effect of anomalous diffusion in skin tissue and compare it with normal diffusion, with constant and sinusoidal heat flux. This study intends to find the temperature profiles for different order fractional bioheat equations.

Keywords:
fractional bioheat equation finite difference method

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