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Solution method for nonlinear parabolic equations

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Abstract

Newton's method with relaxation is applied to solve nonlinear difference problems. The results of numerical calculations for prototype problems are presented.

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  1. E. S. Vakal, G. E. Mistetskii, and O. B. Stelya, “On solution of one class of nonlinear parabolic equations,” in: 3rd Republican Conf. on Computational Mathematics in Modern Technical Progress (Kanev, Sept. 14–16, 1982), Abstracts of papers [in Russian], Vishcha Shkola, Kiev (1982), pp. 149–150.

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  2. Yu. Valaikene, M. Sapagovas, and D. Sapagovene, “Nonlinear relaxation method for solving ordinary differential equations,” Diff. Uravn. Ikh Primen., No. 25, 9–40 (1979).

    Google Scholar 

  3. V. S. Vladimirov, Generalized Functions in Mathematical Physics [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  4. A. T. Zel'nichenko and V. F. Demchenko, “A through difference scheme for the unsteady equation of heat conduction in a multilayer medium with nonideal thermal contact,” in: Optimization of Computations and Numerical Analysis [in Russian], Inst. Kibern. Akad. Nauk UkrSSR, Kiev (1980), pp. 65–70.

    Google Scholar 

  5. L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  6. J. Ortega and W. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables, New York, Academic Press (1970).

    Google Scholar 

  7. A. A. Samarskii, Theory of Difference Schemes [in Russian], Nauka, Moscow (1977).

    Google Scholar 

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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 36–43, 1985

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Vakai, E.S., Kivva, S.L., Mistetskii, G.E. et al. Solution method for nonlinear parabolic equations. J Math Sci 54, 781–786 (1991). https://doi.org/10.1007/BF01097587

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  • DOI: https://doi.org/10.1007/BF01097587

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