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On an approach to the approximation of a solution of problems for the heat-conduction equation without boundary-value or initial conditions

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Abstract

We propose an approach to the approximation of solutions of problems for the heat-conduction equation without initial or boundary-value conditions. The solution is given as a sum of odd and even functions, and this allows one to reconstruct conditions missed in the initial setting of the problem. The method is illustrated with test examples. Bibliography: 1 title.

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References

  1. A. A. Samarskii,A Theory of Difference Schemes [in Russian], Nauka, Moscow (1977).

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Authors
  1. L. I. Demchenko
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  2. V. F. Demchenko
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Additional information

Translated fromObchyslyuval'na ta Prykladna Matematyka, No. 81, 1997, pp. 49–53.

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Demchenko, L.I., Demchenko, V.F. On an approach to the approximation of a solution of problems for the heat-conduction equation without boundary-value or initial conditions. J Math Sci 102, 3763–3766 (2000). https://doi.org/10.1007/BF02680230

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  • DOI: https://doi.org/10.1007/BF02680230

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