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Journal of Soviet Mathematics

, Volume 10, Issue 5, pp 800–804 | Cite as

Uniform convergence with orderh4 of a scheme of the method of lines for quasilinear parabolic and hyperbolic equations

  • M. N. Yakovlev
Article
  • 13 Downloads

Abstract

The order of uniform convergence of the method of lines is considered in connection with the solution of the first boundary-value problem for quasilinear second-order parabolic and hyperbolic equations.

Keywords

Uniform Convergence Hyperbolic Equation 
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Literature cited

  1. 1.
    I. S. Berezin and N. P. Zhidkov, Computational Methods [in Russian], Vol. 2, Moscow (1960).Google Scholar
  2. 2.
    V. N. Abrashin, “On a high-accuracy scheme of the method of lines for certain boundaryvalue problems in the case of parabolic equations,” Dokl. Akad. Nauk BSSR,11, No. 11, 970–972 (1967).Google Scholar
  3. 3.
    A. Zafarullah, “Application of the method of lines to parabolic partial differential equations with error estimates,” J. Assoc. Comput. Mach.,17, No. 2, 294–302 (1970).Google Scholar
  4. 4.
    V. N. Abrashin, “On a high-accuracy scheme of the method of lines for certain boundary-value problems in the case of hyperbolic equations,” Dokl. Akad. Nauk BSSR,13, No. 1 (1969).Google Scholar
  5. 5.
    M. N. Yakovlev, “Error estimation of solution of Cauchy's problem for ordinary second-order system of differential equations,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,23, 138–139 (1971).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • M. N. Yakovlev

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