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FD-method for solving the nonlinear klein–gordon equation

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Ukrainian Mathematical Journal Aims and scope

We propose a functional discrete method for solving the Goursat problem for the nonlinear Klein–Gordon equation. Sufficient conditions for the superexponential convergence of this method are established. The obtained theoretical results are illustrated by a numerical example.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    V. L. Makarov, D. V. Dragunov & D. A. Sember

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  1. V. L. Makarov
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  2. D. V. Dragunov
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  3. D. A. Sember
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 10, pp. 1394–1415, October, 2012.

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Makarov, V.L., Dragunov, D.V. & Sember, D.A. FD-method for solving the nonlinear klein–gordon equation. Ukr Math J 64, 1586–1609 (2013). https://doi.org/10.1007/s11253-013-0737-2

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  • DOI: https://doi.org/10.1007/s11253-013-0737-2

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