a0355558-cc64-4f9c-883a-518313dcb308 beie director@blueeyesintelligence.org 10.35940/ijitee.H9174.0711822 C. Cattaneo, "A form of heat conduction equation which eliminates the paradox of instantaneous propagation", Comptes Rendus, vol. 247, pp. 431-433, 1958.D.Y. Tzou, "Macro-to-Microscale Heat Transfer: The Lagging Behavior", Taylor and Francis, Washington, DC, 1996.10.1016/j.mbs.2017.08.009D. Kumar, P. Kumar, and K.N. Rai, "Numerical solution of non-linear dual-phase-lag bioheat transfer equation within skin tissues", Mathematical Biosciences, vol. 293, pp.56- 63, 2017. [CrossRef]10.1016/j.ijthermalsci.2018.07.031D. Kumar, S. Singh, N. Sharma, and K.N. Rai, "Verified non-linear DPL model with experimental data for analyzing heat transfer in tissue during thermal therapy", The International Journal of Thermal Sciences, vol. 133, pp. 320-329, 2018. [CrossRef]10.1152/jappl.1948.1.2.93H.H. Pennes, "Analysis of tissue and arterial blood temperatures in the resting human forearm", The Journal of Applied Physiology, vol. 1, pp. 93-122, 1948. [CrossRef]J.C. Strikwerda, "Finite difference schemes and partial differential equations", Chapman Hall, New York, 1989.P. Vernotte, "Les paradoxes de la theorie continue de l equation de la chleur", Comptes Rendus, vol. 246, pp. 3154-3155, 1958.10.1016/0898-1221(96)00141-1P. Bogacki, L.F. Shampine, "An efficient runge-kutta (4,5) pair", Computers and Mathematics with Applications, vol. 32, no.6, pp. 15-28, 1996. [CrossRef]10.1142/S0219519414500602Z.W. Zhang, H.U. Wang, and Q.H. Qin, "Method of fundamental solutions for nonlinear skin bioheat model", Journal of Mechanics in Medicine and Biology, vol. 14, no. 4, pp. 1450060, 2014. [CrossRef]10.1007/BF02476835E.H. Wissler, "A mathematical model of the human thermal system", Bulletin of Mathematical Biology, vol. 26, no. 2, pp. 147-166, 1964. [CrossRef]10.1111/j.1749-6632.1980.tb50740.xR.C. Eberhart, A. Shitzer, and E.J. Hernandez, "Thermal dilution methods: estimation of tissue blood flow and metabolism", Annals of the New York Academy of Sciences vol. 335, no. 1, pp. 107-132, 1980. [CrossRef]10.1155/2013/398386S. Singh, and S. Kumar, "A study on the effect of metabolic heat generation on biological tissue freezing", The Scientific World ournal, 2013. [CrossRef]10.1115/1.3138217A. Shitzer, and M.K. Kleiner, "On the relationship between blood perfusion, metabolism and temperature in biological tissue heat balance", The Journal of Biomechanical Engineering, vol. 102, pp. 162-169, 1980. [CrossRef]10.1007/BF02880973V.P. Saxena, K.R. Pardasani, and R. Agarwal, "Unsteady state heat flow in epidermis and dermis of a human body" In Proceedings of the Indian Academy of Sciences-Mathematical Sciences, vol. 98, no. 1, pp. 71-80, 1988. [CrossRef]10.1007/s002310050300K.N. Rai, and S.K. Rai, "Effect of metabolic heat generation and blood perfusion on the heat transfer in the tissues with a blood vessel", Heat and Mass Transfer, vol. 35, no. 1, pp. 75-79, 1999. [CrossRef]10.1177/0954411912441305A. Moradi, and H. Ahmadikia, "Numerical study of the solidification process in biological tissue with blood flow and metabolism effects by the dual phase lag model", Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, vol. 226, no. 5, pp. 406-416, 2012. [CrossRef]10.1007/s00231-015-1617-0D. Kumar, S. Singh, and K.N. Rai, "Analysis of classical Fourier, SPL and DPL heat transfer model in biological tissues in presence of metabolic and external heat source", Heat and Mass Transfer, vol. 52, no. 6, pp. 1089-1107, 2016. [CrossRef]