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A new fractional nonlinear singular heat conduction model for the human head considering the effect of febrifuge

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Abstract

This paper studies the dynamics of nonlinear singular heat conduction model of the human head, and presents a new fractional heat conduction model for the human head taking into account the effect of febrifuge. The Taylor series and two-scale transform method are developed for solving the fractional model. The correctness and effectiveness of the proposed method are also ascertained through one example. The results show that the proposed method is simple but effective.

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Acknowledgements

This work is supported by Program of Henan Polytechnic University (No. B2018-40).

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Authors and Affiliations

  1. School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo, China

    Kang-Jia Wang

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  1. Kang-Jia Wang
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Correspondence to Kang-Jia Wang.

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Wang, KJ. A new fractional nonlinear singular heat conduction model for the human head considering the effect of febrifuge. Eur. Phys. J. Plus 135, 871 (2020). https://doi.org/10.1140/epjp/s13360-020-00891-x

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