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Complementary extremum principles for a nonlinear model of heat conduction in the human head

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Abstract

The theory of complementary variational principles is used to obtain maximum and minimum principles for a nonlinear model of heat conduction in the human head. Accurate variational solutions are obtained in illustrative calculations. The effect of nonlinearity is seen to be significant from a comparison with the linearized model.

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Literature

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Authors and Affiliations

  1. Department of Mathematics, University of York, England

    N. Anderson & A. M. Arthurs

Authors
  1. N. Anderson
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  2. A. M. Arthurs
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Anderson, N., Arthurs, A.M. Complementary extremum principles for a nonlinear model of heat conduction in the human head. Bltn Mathcal Biology 43, 341–346 (1981). https://doi.org/10.1007/BF02462204

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  • DOI: https://doi.org/10.1007/BF02462204

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