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Analytic Solutions of the Cylindrical Heat Equation with a Heat Source

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Abstract

In this article, the superposition and the separation of variables methods are applied in order to investigate the analytical solutions of a heat conduction equation in cylindrical coordinates. The structures of the transient temperature and the heat transfer distributions are summed up for a direct mix of the results of the Fourier–Bessel series of the exponential type for the partial differential equation which we investigate here. Relevant connections of the results, which we have presented in this article, with those in some other closely-related earlier works are also indicated.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada

    H. M. Srivastava

  2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan, Republic of China

    H. M. Srivastava

  3. Department of Mathematics and Informatics, Azerbaijan University, AZ1007, Baku, Azerbaijan

    H. M. Srivastava

  4. Section of Mathematics, International Telematic University Uninettuno, I-00186, Rome, Italy

    H. M. Srivastava

  5. Institute of Mechanical and Electrical Engineering, Lingnan Normal University, Zhanjiang, 524048, Guangdong, People’s Republic of China

    K.-Y. Kung

  6. Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, 320314, Taiwan, Republic of China

    S.-F. Lee

  7. Departments of Applied Mathematics and Business Administration, Chung Yuan Christian University, Chung-Li, 320314, Taiwan, Republic of China

    S.-D. Lin

Authors
  1. H. M. Srivastava
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  2. K.-Y. Kung
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  3. S.-F. Lee
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  4. S.-D. Lin
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Corresponding authors

Correspondence to H. M. Srivastava, K.-Y. Kung, S.-F. Lee or S.-D. Lin.

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Srivastava, H.M., Kung, KY., Lee, SF. et al. Analytic Solutions of the Cylindrical Heat Equation with a Heat Source. Russ. J. Math. Phys. 28, 545–552 (2021). https://doi.org/10.1134/S1061920821040129

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  • DOI: https://doi.org/10.1134/S1061920821040129

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