Numerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature-dependent thermal conductivity | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 22, Issue 1, 2014, Page 152-155 PDF (605.06 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.1016/j.joems.2013.05.006 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| M.A. Khanday | ||||
| Department of Mathematics, University of Kashmir, Hazratbal, Srinagar 190 006, Jammu and Kashmir, India | ||||
| Abstract | ||||
| The paper deals with the temperature distribution in multi-layered human skin and subcutaneous tissues (SST). The model suggests the solution of parabolic heat equation together with the boundary conditions for the temperature distribution in SST by assuming the thermal conductivity as a function of temperature. The model formulation is based on singular non-linear boundary value problem and has been solved using finite difference method. The numerical results were found similar to clinical and computationalresults. | ||||
| Keywords | ||||
| Thermoregulation; Bio-heat model; Boundary value problem | ||||
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