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A new stochastic computing paradigm for the dynamics of nonlinear singular heat conduction model of the human head

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Abstract.

Bio-inspired computing approaches are effective to solve a variety of dynamical problems. The strength of these stochastic solvers is exploited for the numerical treatment of a nonlinear heat conduction model of the human head using artificial neural networks (ANNs), genetic algorithms (GAs), active-set technique (AST), and their hybrids. The universal function approximation competencies of unsupervised ANNs are utilized in constructing the mathematical model of the problem by defining an error function in the mean squared sense. The training of the design parameters of ANN models is made with global search brilliance of GAs, viably local search with AST and hybrid approach GA-AST. The results of the proposed schemes are determined in terms of temperature profiles by considering variants of the problem with different Biot numbers, metabolic thermogenesis slope parameters and thermogenesis heat production factors. The correctness, effectiveness and convergence of the proposed approaches are also ascertained through statistics.

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Authors and Affiliations

  1. Department of Electrical Engineering, COMSATS Institute of Information Technology, Attock, Pakistan

    Muhammad Asif Zahoor Raja

  2. Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan

    Muhammad Umar & Zulqurnain Sabir

  3. Department of Computer Science and Engineering, HITEC University, Texila Rawalpindi, Pakistan

    Junaid Ali Khan

  4. Department of Mathematics, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

  5. Institute of Space Sciences, Magurele-Bucharest, Romania

    Dumitru Baleanu

Authors
  1. Muhammad Asif Zahoor Raja
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  2. Muhammad Umar
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  3. Zulqurnain Sabir
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  4. Junaid Ali Khan
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  5. Dumitru Baleanu
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Correspondence to Muhammad Asif Zahoor Raja.

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Raja, M.A.Z., Umar, M., Sabir, Z. et al. A new stochastic computing paradigm for the dynamics of nonlinear singular heat conduction model of the human head. Eur. Phys. J. Plus 133, 364 (2018). https://doi.org/10.1140/epjp/i2018-12153-4

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  • DOI: https://doi.org/10.1140/epjp/i2018-12153-4

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