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Iterative methods of solution of difference schemes for the heat-conduction equation with nonlinear boundary conditions

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Literature cited

  1. Yu. A. Dubinskii, “Quasilinear elliptical and parabolic equations of any order,” Usp. Mat. Nauk,23 (1968).

  2. A. N. Tikhonov, “On cooling of bodies emitting Stefan-Boltzmann radiation,” Izv. Akad. Nauk SSSR, Ser. Geogr. Geophys.,3, 461–479 (1937).

    Google Scholar 

  3. A. A. Berezovskii, Nonlinear Boundary-Value Problems for a Heat-Radiating Body [in Russian], Naukova Dumka, Kiev (1968).

    Google Scholar 

  4. M. M. Karchevskii and A. D. Lyashko, Difference Methods for Nonlinear Problems of Mathematical Physics [in Russian], Kazan Univ. (1976).

  5. J.-L. Lions, Some Methods of Solution of Nonlinear Boundary-Value Problems [Russian translation], Mir, Moscow (1972).

    Google Scholar 

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

    Google Scholar 

  7. S. M. Nikol'skii, Approximation of Functions of Many Variables and Embedding Theorems [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  8. E. G. D'yakonov, Difference Methods of Solution of Boundary-Value Problems [in Russian], Part 1, Moscow State Univ. (1971).

  9. L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).

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Authors
  1. M. M. Karchevskii
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  2. E. M. Fedotov
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Translated from Issledovaniya po Prikladnoi Matematike, No. 8, pp. 29–40, 1980.

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Karchevskii, M.M., Fedotov, E.M. Iterative methods of solution of difference schemes for the heat-conduction equation with nonlinear boundary conditions. J Math Sci 44, 18–26 (1989). https://doi.org/10.1007/BF01097550

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  • DOI: https://doi.org/10.1007/BF01097550

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