A difference scheme for a conjugate-operator model of a heat conduction problem in polar coordinates

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Abstract

In polar coordinates, a discrete analog of the conjugate-operator model of a heat conduction problem is formulated to hold the structure of the original model. The difference scheme converges with second-order accuracy in the case of discontinuous parameters of the medium in the Fourier law and irregular grids. An efficient algorithm for solving the discrete conjugate-operator model when heat conduction tensor is a unit operator is proposed.

Original languageEnglish
Pages (from-to)244-258
Number of pages15
JournalNumerical Analysis and Applications
Volume10
Issue number3
DOIs
Publication statusPublished - 1 Jul 2017

Keywords

  • convergence
  • difference scheme
  • discrete analog
  • heat conduction problem
  • mathematical model
  • polar coordinates

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