References
- Afrin, N., Y. Zhang, and J. K. Chen. 2011. Thermal lagging in living biological tissue based on non-equilibrium heat transfer between tissue, arterial and venous bloods. International Journal of Heat and Mass Transfer 54 (11–12):2419–26. doi:https://doi.org/10.1016/j.ijheatmasstransfer.2011.02.020.
- Akbarzadeh, A., J. Fu, and Z. Chen. 2014. Three-phase-lag heat conduction in functionally graded hollow cylinder. Transactions of the Canadian Society for Mechanical Engineering 38 (1):155–71. doi:https://doi.org/10.1139/tcsme-2014-0010.
- Antaki, P. 2005. New interpretation of non-Fourier heat conduction in processed meat. Journal of Heat Transfer 127 (2):189–93. doi:https://doi.org/10.1115/1.1844540.
- Cattaneo, C. 1958. A form of heat conduction equation which eliminates the paradox of instantaneous propagation. Comptes rendus de l'Académie des Sciences 247:431–3.
- Choudhary, S. K. R. 2007. On a thermoelastic three-phase-lag model. Journal of Thermal Stresses 30 (3):231–8. doi:https://doi.org/10.1080/01495730601130919.
- Fahmy, M. A. 2018a. Shape design sensitivity and optimization for two-temperature generalized magneto-thermoelastic problems using time-domain DRBEM. Journal of Thermal Stresses 41 (1):119–38. doi:https://doi.org/10.1080/01495739.2017.1387880.
- Fahmy, M. A. 2018b. Shape design sensitivity and optimization of anisotropic functionally graded smart structures using bicubic B-splines DRBEM. Engineering Analysis with Boundary Elements 87 (2018):27–35. doi:https://doi.org/10.1016/j.enganabound.2017.11.005.
- Fahmy, M. A. 2018c. Boundary element algorithm for modeling and simulation of dual-phase lag bioheat transfer and biomechanics of anisotropic soft tissues. International Journal of Applied Mechanics 10 (10):1850108. doi:https://doi.org/10.1142/S1758825118501089.
- Fahmy, M. A. 2019a. Modeling and optimization of anisotropic viscoelastic porous structures using CQBEM and moving asymptotes algorithm. Arabian Journal for Science and Engineering 44 (2):1671–84. doi:https://doi.org/10.1007/s13369-018-3652-x.
- Fahmy, M. A. 2019b. Boundary element modeling and simulation of biothermomechanical behavior in anisotropic laser-induced tissue hyperthermia. Engineering Analysis with Boundary Elements 101:156–64. doi:https://doi.org/10.1016/j.enganabound.2019.01.006.
- Fahmy, M. A. 2019c. A new LRBFCM-GBEM modeling algorithm for general solution of time fractional-order dual phase lag bioheat transfer problems in functionally graded tissues. Numerical Heat Transfer, Part A: Applications 75 (9):616–26. doi:https://doi.org/10.1080/10407782.2019.1608770.
- Fahmy, M. A. 2019d. Design optimization for a simulation of rotating anisotropic viscoelastic porous structures using time-domain OQBEM. Mathematics and Computers in Simulation 166:193–205. doi:https://doi.org/10.1016/j.matcom.2019.05.004.
- Fahmy, M. A. 2019e. A new boundary element strategy for modeling and simulation of three-temperature nonlinear generalized micropolar-magneto-thermoelastic wave propagation problems in FGA structures. Engineering Analysis with Boundary Elements 108:192–200. doi:https://doi.org/10.1016/j.enganabound.2019.08.006.
- Frazier, M. W. 2006. An introduction to wavelets through linear algebra. Berlin: Springer Science & Business Media.
- Gupta, P. K., J. Singh, and K. N. Rai. 2010. Numerical simulation for heat transfer in tissues during thermal therapy. Journal of Thermal Biology 35 (6):295–301. doi:https://doi.org/10.1016/j.jtherbio.2010.06.007.
- Hobiny, A., and I. Abbas. 2019. Analytical solutions of fractional bioheat model in a spherical tissue. Mechanics Based Design of Structures and Machines 47:1–10.
- Kumar, R., and V. Chawla. 2011. A study of plane wave propagation in anisotropic three-phase-lag and two-phase-lag model. International Communications in Heat and Mass Transfer 38 (9):1262–8. doi:https://doi.org/10.1016/j.icheatmasstransfer.2011.07.005.
- Kumar, R., and V. Chawla. 2013. Reflection and refraction of plane wave at the interface between elastic and thermoelastic media with three-phase-lag model. International Communications in Heat and Mass Transfer 48:53–60. doi:https://doi.org/10.1016/j.icheatmasstransfer.2013.08.013.
- Kumar, P., D. Kumar, and K. N. Rai. 2015. A numerical study on dual-phase-lag model of bio-heat transfer during hyperthermia treatment. Journal of Thermal Biology 49–50:98–105. doi:https://doi.org/10.1016/j.jtherbio.2015.02.008.
- Kumar, D., and K. N. Rai. 2016. A study on thermal damage during hyperthermia treatment based on DPL model for multilayer tissues using finite element Legendre wavelet Galerkin approach. Journal of Thermal Biology 62 (Pt B):170–80. doi:https://doi.org/10.1016/j.jtherbio.2016.06.020.
- Kumar, D., S. Singh, and K. N. Rai. 2016. 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 52 (6):1089–107. doi:https://doi.org/10.1007/s00231-015-1617-0.
- Mondal, S., A. Sur, and M. Kanoria. 2019. Transient heating within skin tissue due to time-dependent thermal therapy in the context of memory dependent heat transport law. Mechanics Based Design of Structures and Machines 47:1–15.
- Pennes, H. H. 1948. Analysis of tissue and arterial blood temperatures in the resting human forearm. Journal of Applied Physiology 1 (2):93–122. doi:https://doi.org/10.1152/jappl.1948.1.2.93.
- Quintanilla, R., and R. Racke. 2008. A note on stability in three-phase-lag heat conduction. International Journal of Heat and Mass Transfer 51 (1–2):24–9. doi:https://doi.org/10.1016/j.ijheatmasstransfer.2007.04.045.
- Saeed, T., and I. Abbas. 2020. Finite element analyses of nonlinear DPL bioheat model in spherical tissues using experimental data. Mechanics Based Design of Structures and Machines 48:1–11.
- Stehfest, H. 1970a. Algorithm 368: Numerical inversion of Laplace transforms. Communications of the ACM 13 (1):47–9. doi:https://doi.org/10.1145/361953.361969.
- Stehfest, H. 1970b. Remark on algorithm 368: Numerical inversion of Laplace transforms. Communications of the ACM 13 (10):624. doi:https://doi.org/10.1145/355598.362787.
- Stolwijk, J. A. J., and J. D. Hardy. 1966. Temperature regulation in man: A theoretical study. Pflugers Archiv Fur Die Gesamte Physiologie Des Menschen Und Der Tiere 291 (2):129–62. doi:https://doi.org/10.1007/BF00412787.
- Strikwerda, J. C. 1989. Finite difference schemes and partial differential equations. New York: Chapman Hall.
- Tzou, D. Y. 1996. Macro- to-microscale heat transfer: The lagging behavior. Washington, DC: Taylor & Francis.
- Vernotte, P. 1958. Les paradoxes de la theorie continue de I equation de la chaleur. Comptes rendus de l'Académie des Sciences 246:3154–5.