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Solvability of the finite-difference equations of the implicit scheme for a nonlinear second-order parabolic equation

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Literature cited

  1. M. N. Yakovlev, “The 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,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,70, 241–255 (1977).

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  2. L. Collatz, Functional Analysis and Numerical Mathematics, Academic Press, New York (1966).

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Authors
  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. 256–266, 1977.

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Yakovlev, M.N. Solvability of the finite-difference equations of the implicit scheme for a nonlinear second-order parabolic equation. J Math Sci 23, 2081–2090 (1983). https://doi.org/10.1007/BF01093287

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  • DOI: https://doi.org/10.1007/BF01093287

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