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Uniform convergence of the implicit scheme of the finite-difference method for solving the first boundary-value problem for a nonlinear second-order parabolic equation

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Literature cited

  1. M. N. Yakovlev, “An implicit scheme of the method of finite differences for solving the first boundary value problem for a second-order nonlinear parabolic equation,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,35, 160–166 (1973).

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  2. M. N. Yakovlev, “The solvability of the finite-difference equations of the implicit scheme for a nonlinear second-order parabolic equation,” J. Sov. Math.,23, No. 1 (1983).

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  1. M. N. Yakovlev
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 70, pp. 241–255, 1977.

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Yakovlev, M.N. Uniform convergence of the implicit scheme of the finite-difference method for solving the first boundary-value problem for a nonlinear second-order parabolic equation. J Math Sci 23, 2066–2080 (1983). https://doi.org/10.1007/BF01093286

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  • DOI: https://doi.org/10.1007/BF01093286

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