Erratum to: Closed form solution for a conductive–convective–radiative annular fin with multiple nonlinearities and its inverse analysis

1 Erratum to: Heat Mass Transfer DOI 10.1007/s00231-016-1872-8

In the original publication of the article, the following mistakes have been identified.

• 1. The ‘second last term’ in the RHS of Eq. (8) should contain a ‘plus (+)’ sign between 1 and lambda (λ_R). Accordingly, the correct form of Eq. 8 is

  $$ \begin{aligned} L\left( \theta \right) + pL\left( {\theta_{o} } \right) - L\left( {\theta_{o} } \right) & = - p\left[ {\beta \theta \frac{{d^{2} \theta }}{{d\xi^{2} }} + \beta_{1} \theta^{2} \frac{{d^{2} \theta }}{{d\xi^{2} }} + \beta \left( {\frac{d\theta }{d\xi }} \right)^{2} + 2\beta_{1} \theta \left( {\frac{d\theta }{d\xi }} \right)^{2} + \frac{1}{1 + \xi }\frac{d\theta }{d\xi }} \right. \\ & \quad \left. {{ + }\frac{\beta \theta }{1 + \xi }\frac{d\theta }{d\xi } + \frac{{\beta_{1} }}{1 + \xi }\theta^{2} \frac{d\theta }{d\xi } - N^{2} \theta^{n + 1} - M\theta^{4} \left( {1 + \lambda_{R} \theta } \right) + G\left( {1 + E_{G} \theta } \right)} \right] \\ \end{aligned} $$

  (8)

• 2. In Eq. (10), the equation for p ¹ has been repeated twice by mistake.

The original publication of the article has been updated to reflect these changes.