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Application of the method of lines to a boundary-value problem with a nonlinear equation containing derivatives of arbitrary even order

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Literature cited

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

  2. A. P. Kubanskaya, “Certain applications of a five-point scheme of the method of lines,” Zap. Nauchn. Seminarov LOMI Akad. Nauk SSSR,18 (1970).

  3. S. M. Lozinskii, “Approximate methods for solving the Cauchy problem for systems of ordinary differential equations,” Proc. 4th All-Union Math. Congress [in Russian], Vol. 2, Leningrad (1964), pp. 606–613.

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  4. S. M. Lozinskii, “Estimate of the error of numerical integration of ordinary differential equations,” Izv. Vyssh. Uchebn. Zaved., Matematika, No. 5, 52–90 (1958).

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 35, pp. 45–55, 1973.

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Kubanskaya, A.P. Application of the method of lines to a boundary-value problem with a nonlinear equation containing derivatives of arbitrary even order. J Math Sci 7, 31–39 (1977). https://doi.org/10.1007/BF01846069

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  • DOI: https://doi.org/10.1007/BF01846069

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