Integral Method of Boundary Characteristics: Neumann Condition

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A new algorithm, based on systems of identical equalities with integral and differential boundary characteristics, is proposed for solving boundary-value problems on the heat conduction in bodies canonical in shape at a Neumann boundary condition. Results of a numerical analysis of the accuracy of solving heat-conduction problems with variable boundary conditions with the use of this algorithm are presented. The solutions obtained with it can be considered as exact because their errors comprise hundredths and ten-thousandths of a persent for a wide range of change in the parameters of a problem.

Keywords

heat-conduction equation integral method of heat balance thermal-disturbance front 

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.A. V. Luikov Heat and Mass Transfer Institute, National Academy of Sciences of BelarusMinskBelarus

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