-
1
-
-
28544435198
-
A two level finite difference scheme for one dimensional Pennes' bioheat equation
-
10.1016/j.amc.2005.01.052 1086.65090 2192876
-
Zhao J, Zhang J, Kang N, Yang F (2005) A two level finite difference scheme for one dimensional Pennes' bioheat equation. Appl Math Comput 171:320-331
-
(2005)
Appl Math Comput
, vol.171
, pp. 320-331
-
-
Zhao, J.1
Zhang, J.2
Kang, N.3
Yang, F.4
-
2
-
-
84888360034
-
Analysis of tissue and arterial blood temperatures in the resting human forearm
-
Pennes HH (1948) Analysis of tissue and arterial blood temperatures in the resting human forearm. J Appl Physiol 1:93-122
-
(1948)
J Appl Physiol
, vol.1
, pp. 93-122
-
-
Pennes, H.H.1
-
3
-
-
84903279640
-
Pennes' 1948 model paper revisited
-
Wissler EH (1948) Pennes' 1948 model paper revisited. J Appl Physiol 85:36-42
-
(1948)
J Appl Physiol
, vol.85
, pp. 36-42
-
-
Wissler, E.H.1
-
4
-
-
65349121894
-
Empirical comparison of Pennes' bio-heat equation
-
10.1117/12.805577
-
Cundin LX, Roach WP, Millenbaugh N (2009) Empirical comparison of Pennes' bio-heat equation. Proc SPIE 7175:717516-717519
-
(2009)
Proc SPIE
, vol.7175
, pp. 717516-717519
-
-
Cundin, L.X.1
Roach, W.P.2
Millenbaugh, N.3
-
5
-
-
0000366366
-
Les Paradoxes de la theorie continue de l'equation de la chaleur
-
95679
-
Vernotte P (1958) Les Paradoxes de la theorie continue de l'equation de la chaleur. Compte Rendus 246:3154-3155
-
(1958)
Compte Rendus
, vol.246
, pp. 3154-3155
-
-
Vernotte, P.1
-
6
-
-
0000366367
-
A form of heat conduction equation which eliminates the paradox of instantaneous propagation
-
95680
-
Cattaneo C (1958) A form of heat conduction equation which eliminates the paradox of instantaneous propagation. Compte Rendus 247:431-433
-
(1958)
Compte Rendus
, vol.247
, pp. 431-433
-
-
Cattaneo, C.1
-
7
-
-
0025471339
-
Hyperbolic heat conduction equation for material with a non-homogeneous inner structure
-
10.1115/1.2910422
-
Kaminski W (1990) Hyperbolic heat conduction equation for material with a non-homogeneous inner structure. ASME J Heat Transfer 112:555-560
-
(1990)
ASME J Heat Transfer
, vol.112
, pp. 555-560
-
-
Kaminski, W.1
-
8
-
-
0029357040
-
Experimental evidence of hyperbolic heat conduction in processed meat
-
10.1115/1.2822615
-
Mitra K, Kumar S, Vedevarz A, Moallemi MK (1995) Experimental evidence of hyperbolic heat conduction in processed meat. J Heat Transfer 117:568-573
-
(1995)
J Heat Transfer
, vol.117
, pp. 568-573
-
-
Mitra, K.1
Kumar, S.2
Vedevarz, A.3
Moallemi, M.K.4
-
9
-
-
0002361693
-
Preliminary survey on the mechanisms of the wave-like behaviors of heat transfer in living tissues
-
10.1007/s100100000031
-
Liu J (2000) Preliminary survey on the mechanisms of the wave-like behaviors of heat transfer in living tissues. Forsch Ing 66:1-10
-
(2000)
Forsch Ing
, vol.66
, pp. 1-10
-
-
Liu, J.1
-
10
-
-
33746099394
-
-
Grondahl & Son, Christiania (1881 (Edition de Holmboe
-
Abel NH (1926) Solutions de quelques problèmes à l'aide d'intégrales defines, Oeuvres complètes, nouvelle éd., 1, Grondahl & Son, Christiania (1881) pp 11-27 (Edition de Holmboe)
-
(1926)
Solutions de Quelques Problèmes À l'Aide d'Intégrales Defines, Oeuvres Complètes, Nouvelle Éd., 1
, pp. 11-27
-
-
Abel, N.H.1
-
11
-
-
84868206153
-
Neumann boundary-value problems for a time-fractional diffusion-wave equation in a half-plane
-
10.1016/j.camwa.2012.02.064 1268.35125 2989346
-
Povstenko YZ (2012) Neumann boundary-value problems for a time-fractional diffusion-wave equation in a half-plane. Comput Math Appl 64:3183-3192
-
(2012)
Comput Math Appl
, vol.64
, pp. 3183-3192
-
-
Povstenko, Y.Z.1
-
12
-
-
84977255207
-
Linear models of dissipation whose Q is almost frequency independent II
-
10.1111/j.1365-246X.1967.tb02303.x
-
Caputo M (1967) Linear models of dissipation whose Q is almost frequency independent II. Geophys J R Astron Soc 13:529-539
-
(1967)
Geophys J R Astron Soc
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
13
-
-
0003223705
-
Generalized fractional calculus and applications
-
Longman-Wiley, New York
-
Kiryakova V (1994) Generalized fractional calculus and applications. In: Pitman Res Notes Math Ser, vol 301. Longman-Wiley, New York
-
(1994)
Pitman Res Notes Math ser
, vol.301
-
-
Kiryakova, V.1
-
15
-
-
74249118189
-
Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time, application to Merton's optimal portfolio
-
10.1016/j.camwa.2009.05.015 1189.91230 2579479
-
Jumarie GD (2010) Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time, application to Merton's optimal portfolio. Comput Math Appl 59:1142-1164
-
(2010)
Comput Math Appl
, vol.59
, pp. 1142-1164
-
-
Jumarie, G.D.1
-
16
-
-
77957168518
-
Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer
-
10.1016/j.physb.2010.07.009
-
Ezzat MA (2010) Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer. Phys B 405:4188-4194
-
(2010)
Phys B
, vol.405
, pp. 4188-4194
-
-
Ezzat, M.A.1
-
17
-
-
78349303958
-
Magneto-thermoelasticity with thermoelectric properties and fractional derivative heat transfer
-
10.1016/j.physb.2010.10.005
-
Ezzat MA (2011) Magneto-thermoelasticity with thermoelectric properties and fractional derivative heat transfer. Phys B 406:30-35
-
(2011)
Phys B
, vol.406
, pp. 30-35
-
-
Ezzat, M.A.1
-
18
-
-
0000145521
-
On Mittag-Lettler-type function in fractional evolution processes
-
10.1016/S0377-0427(00)00294-6 0970.45005 1765955
-
Mainardi F, Gorenflo R (2000) On Mittag-Lettler-type function in fractional evolution processes. J Comput Appl Math 118:283-299
-
(2000)
J Comput Appl Math
, vol.118
, pp. 283-299
-
-
Mainardi, F.1
Gorenflo, R.2
-
19
-
-
49949149766
-
A generalized dynamical theory of thermoelasticity
-
10.1016/0022-5096(67)90024-5 0156.22702
-
Lord H, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J Mech Phys Solids 15:299-309
-
(1967)
J Mech Phys Solids
, vol.15
, pp. 299-309
-
-
Lord, H.1
Shulman, Y.2
-
20
-
-
84891388287
-
-
Springer Berlin 10.1007/978-3-540-74252-4
-
Lebon G, Jou D, Casas-Vázquez J (2008) Understanding non-equilibrium thermodynamics: foundations, applications, frontiers. Springer, Berlin
-
(2008)
Understanding Non-equilibrium Thermodynamics: Foundations, Applications, Frontiers
-
-
Lebon, G.1
Jou, D.2
Casas-Vázquez, J.3
-
21
-
-
36149035290
-
Extended irreversible thermodynamics
-
10.1088/0034-4885/51/8/002
-
Jou D, Casas-Vázquez J, Lebon G (1988) Extended irreversible thermodynamics. Rep Prog Phys 51:1105-1179
-
(1988)
Rep Prog Phys
, vol.51
, pp. 1105-1179
-
-
Jou, D.1
Casas-Vázquez, J.2
Lebon, G.3
-
22
-
-
0028039735
-
On the wave theory in heat conduction
-
10.1115/1.2910903
-
Ozisik MN, Tzou DY (1994) On the wave theory in heat conduction. J Heat Transfer 116:526-535
-
(1994)
J Heat Transfer
, vol.116
, pp. 526-535
-
-
Ozisik, M.N.1
Tzou, D.Y.2
-
23
-
-
13844253772
-
Fractional heat conduction and associated thermal stress
-
10.1080/014957390523741 2119353
-
Povstenko YZ (2005) Fractional heat conduction and associated thermal stress. J Thermal Stress 28:83-102
-
(2005)
J Thermal Stress
, vol.28
, pp. 83-102
-
-
Povstenko, Y.Z.1
-
25
-
-
0021375050
-
A method for the numerical inversion of the Laplace transform
-
10.1016/0377-0427(84)90075-X 0535.65090 736594
-
Honig G, Hirdes U (1984) A method for the numerical inversion of the Laplace transform. J Comput Appl Math 10:113-132
-
(1984)
J Comput Appl Math
, vol.10
, pp. 113-132
-
-
Honig, G.1
Hirdes, U.2
-
26
-
-
65349121894
-
Empirical comparison of Pennes' bio-heat equation
-
10.1117/12.805577
-
Luisiana CX, William PR, Nancy M (2009) Empirical comparison of Pennes' bio-heat equation. Proc SPIE 7175:717516
-
(2009)
Proc SPIE
, vol.7175
, pp. 717516
-
-
Luisiana, C.X.1
William, P.R.2
Nancy, M.3
-
27
-
-
25644456914
-
The impact of thermal wave characteristics on thermal does distribution during thermal therapy, a numerical study
-
10.1118/1.2008507
-
Shih TC, Kou HS, Liauh CT, Win WL (2005) The impact of thermal wave characteristics on thermal does distribution during thermal therapy, a numerical study. Med Phys 32:3029-3036
-
(2005)
Med Phys
, vol.32
, pp. 3029-3036
-
-
Shih, T.C.1
Kou, H.S.2
Liauh, C.T.3
Win, W.L.4
-
28
-
-
84881241784
-
Numerical study of heat propagation in living tissue subjected to instantaneous heating
-
Sharma PR, Sazid A, Katiyar VK (2009) Numerical study of heat propagation in living tissue subjected to instantaneous heating. Ind J Biomech 7-8:205-209
-
(2009)
Ind J Biomech
, vol.7-8
, pp. 205-209
-
-
Sharma, P.R.1
Sazid, A.2
Katiyar, V.K.3
-
29
-
-
26844495202
-
Modeling and numerical simulation of bioheat transfer and biomechanics in soft tissue
-
10.1016/j.mcm.2004.09.006 1080.92010 2151942
-
Shen W, Zhang J (2005) Modeling and numerical simulation of bioheat transfer and biomechanics in soft tissue. Math Comput Model 41:1251-1265
-
(2005)
Math Comput Model
, vol.41
, pp. 1251-1265
-
-
Shen, W.1
Zhang, J.2
-
30
-
-
0032932502
-
New thermal wave aspects on burn evaluation of skin subjected to instantaneous heating
-
10.1109/10.752939
-
Liu J, Chen X, Xu LX (1999) New thermal wave aspects on burn evaluation of skin subjected to instantaneous heating. IEEE Trans Biomed Eng 46:420-428
-
(1999)
IEEE Trans Biomed Eng
, vol.46
, pp. 420-428
-
-
Liu, J.1
Chen, X.2
Xu, L.X.3
-
31
-
-
84887641072
-
Finite speed of propagation in heat conduction, diffusion, and viscous shear motion
-
10.1119/1.1974155
-
Weymann HD (1967) Finite speed of propagation in heat conduction, diffusion, and viscous shear motion. Am J Phys 35:488-496
-
(1967)
Am J Phys
, vol.35
, pp. 488-496
-
-
Weymann, H.D.1
-
32
-
-
34250741541
-
Analytical analysis of the Pennes bioheat transfer equation with sinusoidal heat flux condition on skin surface
-
10.1016/j.medengphy.2006.10.008
-
Shih TC, Yuan P, Lin WL, Kou HS (2007) Analytical analysis of the Pennes bioheat transfer equation with sinusoidal heat flux condition on skin surface. Med Eng Phys 29:946-953
-
(2007)
Med Eng Phys
, vol.29
, pp. 946-953
-
-
Shih, T.C.1
Yuan, P.2
Lin, W.L.3
Kou, H.S.4
-
33
-
-
84890868020
-
Fundamental solutions to time-fractional heat conduction equations in two joint half-lines
-
doi: 10.2478/s11534-013-0272-7
-
PovstenkoYZ (2013) Fundamental solutions to time-fractional heat conduction equations in two joint half-lines. Cent Euro J Phys. doi: 10.2478/s11534-013-0272-7
-
(2013)
Cent Euro J Phys
-
-
Povstenko, Y.Z.1
|