Abstract
One applies the method of lines to the problem of the bending of a rectangular orthotropic plate whose two opposite sides are freely supported while the other two are rigidly fixed. Under specific conditions one establishes the order of uniform convergence of the solution of a differential-difference problem in terms of the order of the difference approximations.
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Literature cited
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A. P. Kubanskaya, “The construction and the convergence estimate of a multipoint finite-difference scheme for the problem of the bending of rectangular orthotropic plates with freely supported sides,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,80, 66–82 (1978).
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta 1m. V, A. Steklova AN SSSR, Vol. 111, pp. 93–108, 1981.
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Kubanskaya, A.P. Convergence of a high precision scheme of the method of lines for the problem of the bending of a rectangular orthotropic plate. J Math Sci 24, 59–68 (1984). https://doi.org/10.1007/BF01230266
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DOI: https://doi.org/10.1007/BF01230266