Skip to main content
SpringerLink
Log in

Stable difference scheme for a nonlinear Klein-Gordon equation

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

For a nonlinear Klein-Gordon equation, we obtain a stable difference scheme for large time intervals. We prove that this scheme has the sixth order of accuracy.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. R. K. Dodd, J. C. Ellbeck, J. D. Gibbon, and H. C. Morris, Solitons and Nonlinear Wave Equations, Academic Press, London (1984).

    Google Scholar 

  2. A. A. Samarskii, Introduction to the Theory of Difference Schemes [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  3. M. J. Ablowits, M. D. Kruskal, and J. F. Ladic, “Solitary wave collisions,” SIAM J. Appl. Math. 53, 428–437 (1979).

    Article  Google Scholar 

Download references

Authors
  1. I. L. Nizhnik
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 6, pp. 857–859, June, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nizhnik, I.L. Stable difference scheme for a nonlinear Klein-Gordon equation. Ukr Math J 49, 960–962 (1997). https://doi.org/10.1007/BF02513438

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02513438

Keywords

Search

Navigation