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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/17863
Title: A Mathematical Model for Hyperbolic Space-fractional Bioheat Transfer during Thermal Therapy
Authors: Kumar P.
Kumar D.
Rai K.N.
Srinivasacharya D.
Published in: Proceedings of Procedia Engineering
Abstract: In this paper, we have developed a hyperbolic space-fractional bioheat transfer model based on the single-phase-lagging constitutive relation. The numerical solution of the present problem has been done using fractional backward finite difference scheme and Legendre wavelet Galerkin approach. The effect of fractional parabolic and hyperbolic bioheat transfer model on temperature profile within living biological tissues has been studied and compared with their respective standard cases. Numerical results are presented graphically in both standard and anomalous case for different values of parameters. © 2015 The Authors.
Citation: Proceedings of Procedia Engineering, (2015), 56- 62
URI: https://doi.org/10.1016/j.proeng.2015.11.329
http://repository.iitr.ac.in/handle/123456789/17863
Issue Date: 2015
Publisher: Elsevier Ltd
Keywords: Fractional finite difference scheme
Hyperbolic fractional bioheat model
Legendre wavelet Galerkin method
Thermal therapy
ISSN: 18777058
Author Scopus IDs: 57211464253
57202478211
36442806900
Author Affiliations: Kumar, P., Department of Mathematical Sciences, IIT-BHU, Varanasi, 221005, India
Kumar, D., DST-CIMS, BHU, Varanasi, 221005, India
Rai, K.N., Department of Mathematical Sciences, IIT-BHU, Varanasi, 221005, India, DST-CIMS, BHU, Varanasi, 221005, India
Corresponding Author: Kumar, P.; Department of Mathematical Sciences, IIT-BHUIndia; email: pkumar.rs.apm12@itbhu.ac
Appears in Collections:Conference Publications [ME]

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