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Yang X.J. and Baleanu D., “Fractional heat conduction problem solved by local fractional variation iteration method”, Thermal science, 17(2), 2013, 625-628.

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Article

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

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


American Journal of Mathematical Analysis. 2013, Vol. 1 No. 2, 20-24
DOI: 10.12691/ajma-1-2-1
Copyright © 2013 Science and Education Publishing

Cite this paper:
R. S. Damor, Sushil Kumar, 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.

Correspondence to: A. K. Shukla, Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat, India. Email: ajayshukla2@rediffmail.com

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.

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