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The application of a nine-point scheme of the method of lines to some nonlinear boundary value problems

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Literature cited

  1. 1.

    V. N. Abrashin, “On a scheme for the method of lines with improved accuracy for certain boundary value problems in the case of a hyperbolic equation,” Dokl. Akad. Nauk BSSR,13, No. 1, 13–16 (1969).

  2. 2.

    A. P. Kubanskaya, “Some applications of the five-point scheme of the method of lines,” Seminars in Mathematics, Vol. 18, Consultants Bureau, New York (1972), pp. 93–103.

  3. 3.

    S. M. Lozinskii, “Approximate methods for the solution of the Cauchy problem for systems of ordinary differential equations,” Proc. Fourth All-union Math. Congr. (Leningrad, 1961), Vol. II, Nauka, Leningrad, pp. 606–613 (1964).

  4. 4.

    S. M. Lozinskii, “An error estimate for numerical integration of ordinary differential equations, I.” Izv. Vyssh. Uchebn. Zaved., Matematika, No. 5, 222 (1959).

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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 23, pp. 41–52, 1971.

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Kubanskaya, A.P. The application of a nine-point scheme of the method of lines to some nonlinear boundary value problems. J Math Sci 2, 376–387 (1974). https://doi.org/10.1007/BF01098995

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Keywords

  • Nonlinear Boundary