In the original publication of the article, the following equations has been incorrectly published. The corrected equations are given below:
$$ Q_{\text{d}} = \frac{{D_{f} c_{{\uprho{\text{W}}}} (\rho_{\text{s}} - \rho_{\text{c}} )}}{{(\Delta r)^{2} }}(T(r,t) - T_{ 0} ), $$
(11)
$$ \Delta m = \frac{{D_{v} M_{\text{W}} }}{{R_{\text{a}} \delta c}}\left[ {\left( {\frac{{P_{\text{W}} }}{{T_{\text{W}} }}} \right)_{\text{s}} - \left( {\frac{{P_{\text{W}} }}{{T_{\text{W}} }}} \right)_{a} RH} \right], $$
(13)
$$ M = M_{l} \left\{ {\begin{array}{*{20}l} {l = 1} & {{\text{for first kind non-Fourier boundary condition}},} \\ {l = 2} & {{\text{for second kind non-Fourier boundary condition}},} \\ {l = 3} & {{\text{for third kind non-Fourier boundary condition}}.} \\ \end{array} } \right. $$
(40)
$$ N_{1} = \left[ {\begin{array}{*{20}c} {P_{\text{mo}} - Q_{\text{vo}} + \frac{{F_{l} (F_{\text{o}} )}}{{h^{2} }}} & {P_{\text{mo}} - Q_{\text{vo}} } & \cdots & {P_{\text{mo}} - Q_{\text{vo}} } \\ \end{array} } \right]^{\text{T}} , $$
(45)
$$ \psi (F_{\rm{o}} ) = \left[ {\begin{array}{*{20}c} {\psi_{10} } & {\psi_{11} } & \cdots & {\psi_{{1{\text{M}}^{\prime } - 1}} } & {\psi_{20} } & {\psi_{21} } & \cdots & {\psi_{{2{\text{M}}^{\prime } - 1}} } & {\psi_{{2^{{{\text{k}} - 1}} 0}} } \\ {} & {\psi_{{2^{{{\text{k}} - 1}} 1}} } & \cdots & {\psi_{{ 2^{{{\rm{k}} - 1}} {\text{M}}^{\prime } - 1}} } & {} & {} & {} & {} & {} \\ \end{array} } \right]^{\rm{T}} $$
(49)
$$ C_{ 2}^{\text{T}} - M_{l} C_{ 2}^{\text{T}} X_{ 2} - Z_{ 2} = 0, $$
(58)
$$ \begin{aligned} & \theta (x,F_{\text{o}} ) = \frac{1}{{U_{ 1, 1} (U_{ 1, 2} + 1)V_{ 1} }}\left[ { - (U_{ 1, 2} + U_{ 1, 3} ) Q_{\text{do}} \theta_{\text{w}} } \right. \\ & \quad +\, P_{\text{mo}} (\alpha (U_{ 1, 2} + U_{ 1, 3} ) \theta_{\text{w}} + (U_{ 1, 1} - 1)(U_{ 1, 1} - U_{ 1, 2} )) \\ & \quad \left. { + \,(U_{ 1, 2} - U_{ 1, 1} )(U_{ 1, 1} - 1)Q_{\text{vo}} } \right] \\ & \quad + \sum\limits_{\text{n = 0}}^{\infty } {\left( {\frac{1}{{U_{ 1, 4} V_{{ 1,{\text{n}}}} }}} \right)} \left[ {e^{{{\text{F}}_{{\text{o}}} {{\text{V}}}_{{ 1,{\text{n}}}} - {\text{U}}_{ 1, 4} ({x} + 2)}} \left( {\left( {e^{{2 {\text{U}}_{ 1, 4} {x}}} + e^{{2 {\text{U}}_{ 1, 4} }} } \right)\theta_{\text{w}} (Q_{\text{do}} + V_{{1,{\text{n}}}} )} \right.} \right. \\ & \quad +\, P_{\text{mo}} \left( {\left( {e^{{2 {\text{U}}_{ 1, 4} }} - e^{{{\text{U}}_{ 1, 4} {x}}} } \right)(e^{{{\text{U}}_{ 1, 4} {x}}} - 1) - \alpha (e^{{2 {\text{U}}_{ 1, 4} {x}}} + e^{{2 U_{ 1, 4} }} )\theta_{\text{w}} } \right) \\ & \quad \left. {\left. { + \, Q_{\text{vo}} \left( { - \left( {e^{{2 {\text{U}}_{1,4} }} - e^{{{\text{U}}_{1,4} {x}}} } \right)} \right)\left( {e^{{{\text{U}}_{1,4} {x}}} - 1} \right)} \right)} \right], \\ \end{aligned} $$
(60)
$$ \begin{aligned} \theta (x,F_{\text{o}} ) & = - \frac{1}{{U_{2,1} (U_{2,2} + 1)V_{2} }}\left[ {\left( {U_{2,2} + U_{2,3} } \right)Q_{\text{do}} \theta_{\text{w}} } \right. \\ & \quad +\, P_{\text{f}}^{2} \left( {\left( {U_{2,2} - U_{2,1} } \right)\left( { - 1 + U_{2,1} } \right)\theta_{\text{b}} + \left( {U_{2,2} + U_{2,3} } \right)\theta_{\text{w}} } \right) \\ & \quad \left. { + \, P_{\text{mo}} \left( {\left( {U_{2,2} - U_{2,1} } \right)\left( { - 1 + U_{2,1} } \right) - \left( {U_{2,2} + U_{2,3} } \right)\alpha \theta w} \right)} \right] \\ & \quad + \sum\limits_{\text{n = 0}}^{\infty } {\frac{1}{{U_{2,4} V_{2,n} }}} \left[ {e^{{{\text{F}}_{\text{o}} V_{{2,{\text{n}}}} - U_{2,4} (x + 2)}} \left( {\left( {e^{{2U_{2,4} x}} + e^{{2U_{2,4} }} } \right)} \right.} \right. \\ & \quad \theta_{\text{w}} \left( {Q_{\text{do}} + V_{{2,{\text{n}}}} } \right) + P_{\text{f}}^{2} \left( {\left( {e^{{2 U_{2,4} }} - e^{{U_{2,4} x}} } \right)\left( {e^{{U_{2,4} x}} - 1} \right)\theta_{\text{b}} } \right. \\ & \quad \left. { + \,\left( {e^{{2U_{2,4} x}} + e^{{2U_{2,4} }} } \right)\theta_{\text{w}} } \right) + P_{\text{mo}} \left( {\left( {e^{{2U_{2,4} }} - e^{{U_{2,4} x}} } \right)} \right. \\ & \quad \left. {\left. {\left. {\left( {e^{{U_{2,4} x}} - 1} \right) - (e^{{2U_{2,4} x}} + e^{{2U_{2,4} }} } \right)\alpha \theta_{\text{w}} )} \right)} \right], \\ \end{aligned} $$
(61)
$$ \begin{aligned} & \theta (x,F_{\text{o}} ) = - \frac{1}{{U_{ 3, 1} (U_{ 3, 2} + 1)V_{ 3} }} \\ & \quad \left[ {\left( {U_{ 3, 2} + U_{ 3, 3} } \right)Q_{\text{do}} \theta_{\text{w}} + P_{\text{f}}^{2} \left( {\left( {U_{ 3, 2} - U_{ 3, 1} } \right)( - 1 + U_{ 3, 1} )\theta_{\text{b}} } \right.} \right. \\ & \quad \left. { + \,\left( {U_{ 3, 2} + U_{ 3, 3} } \right)\theta_{\text{w}} } \right) \\ & \quad \left. { +\, P_{\text{mo}} \left( {\left( {U_{ 3, 2} - U_{ 3, 1} } \right)\left( { - 1 + U_{ 3, 1} } \right) - \left( {U_{ 3, 2} + U_{ 3, 3} } \right)\alpha \theta w} \right)} \right] \\ & \quad + \sum\limits_{\text{n = 0}}^{\infty } {\frac{1}{{U_{ 3, 4} V_{{ 3,{\text{n}}}} }}} \left[ {e^{{{\text{F}}_{\text{o}} V_{{ 3,{\text{n}}}} - U_{ 3, 4} (x + 2)}} \left( {\left( {e^{{2U_{3,4} x}} + e^{{2U_{ 3, 4} }} } \right)} \right.} \right. \\ & \quad \theta_{\text{w}} \left( {Q_{\text{do}} + V_{{3,{\text{n}}}} } \right) + P_{\text{f}}^{2} \left( {\left( {e^{{2U_{ 3, 4} }} - {\text{e}}^{{U_{3,4} x}} } \right)(e^{{U_{3,4} x}} - 1)\theta_{\text{b}} } \right. \\ & \quad \left. { + \,\left( {e^{{2U_{3,4} x}} + e^{{2U_{ 3, 4} }} } \right)\theta_{\text{w}} } \right) \\ & \quad +\, P_{\text{mo}} \left( {\left( {e^{{2U_{ 3, 4} }} - e^{{U_{3,4} x}} } \right)\left( {e^{{U_{3,4} x}} - 1} \right)} \right. \\ & \quad \left. {\left. {\left. { - \,\left( {e^{{2U_{3,4} x}} + e^{{2 U_{3,4} }} } \right)\alpha \theta_{\text{w}} } \right)} \right)} \right], \\ \end{aligned} $$
(62)
The word “Temperature” should be omitted in the figure captions 5 to 13. The corrected figure captions are given below:
Fig. 5 Epidermis layer: Effect of \( F_{\text{oq}} = 0.00696379 \) and \( F_{\text{ot}} = 0 \) on skin temperature with the first kind non-Fourier boundary condition
Fig. 6 Dermis layer: Effect of \( F_{\text{oq}} = 0.0140766 \) and \( F_{\text{ot}} = 0 \) on skin temperature with the first kind non-Fourier boundary condition
Fig. 7 Subcutaneous layer: Effect of \( F_{\text{oq}} = 0.00791667 \) and \( F_{\text{ot}} = 0 \) on skin temperature with the first kind non-Fourier boundary condition
Fig. 8 Epidermis layer: Effect of \( F_{\text{oq}} = F_{\text{ot}} = 0.00696379 \) on skin temperature with the first kind non-Fourier boundary condition
Fig. 9 Dermis layer: Effect of \( F_{\text{oq}} = F_{\text{ot}} = 0.0140766 \) on skin temperature with the first kind non-Fourier boundary condition
Fig. 10 Subcutaneous layer: Effect of \( F_{\text{oq}} = F_{\text{ot}} = 0.00791667 \) on skin temperature with the first kind non-Fourier boundary condition
Fig. 11 Epidermis layer: Effect of lagging on skin temperature with the first kind non-Fourier boundary condition at \( F_{\text{o}} = 0.5 \)
Fig. 12 Dermis layer: Effect of lagging on skin temperature with the first kind non-Fourier boundary condition at \( F_{\text{o}} = 0.5 \)
Fig. 13 Subcutaneous layer: Effect of lagging on skin temperature with the first kind non-Fourier boundary condition at \( F_{\text{o}} = 0.5 \)
The original article has been corrected.
