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Iterative solution of the stefan problem with several boundaries

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Abstract

An iterative process is constructed for numerical solution of weakly stable boundary-value problems for parabolic equations with unknown moving boundaries. Special emphasis is placed on the choice of the initial approximation.

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Literature Cited

  1. 1.

    E. N. Solov'eva, "On the solution of the one-dimensional Stefan problem in a gradient medium," in: Computational Methods and Programming [in Russian], No. 36, Moscow State Univ. (1982), pp. 44–51.

  2. 2.

    E. N. Solov'eva and A. B. Uspenskii, "Flowthrough schemes for numerical solution of problems for parabolic equations," in: Computational Methods and Programming [in Russian], No. 23, Moscow State Univ. (1974), pp. 85–102.

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Additional information

Translated from Vychislitel'naya Matematika i Matematicheskoe Obespechenie EVM, pp. 37–43, 1985.

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Solov'eva, E.N. Iterative solution of the stefan problem with several boundaries. Comput Math Model 1, 18–22 (1990). https://doi.org/10.1007/BF01128305

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Keywords

  • Mathematical Modeling
  • Computational Mathematic
  • Industrial Mathematic
  • Iterative Process
  • Parabolic Equation