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Two-point difference schemes for systems of nonlinear BVPs

  • Ivan P. GavrilyukEmail author
  • Martin Hermann
  • Volodymyr L. Makarov
  • Myroslav V. Kutniv
Chapter
  • 398 Downloads
Part of the International Series of Numerical Mathematics book series (ISNM, volume 159)

Abstract

Note that the EDS and TDS are very similar to the multiple shooting method [2, 35, 39, 40, 79]. Both techniques are based on the successive solution of IVPs on small subintervals and are theoretically supported by a posteriori error estimates. However, the advantage of our difference methods is that a unified theory of a priori estimates can be established.

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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  • Ivan P. Gavrilyuk
    • 1
    Email author
  • Martin Hermann
    • 2
  • Volodymyr L. Makarov
    • 3
  • Myroslav V. Kutniv
    • 4
  1. 1.Staatliche Studienakademie Thüringen Berufsakademie Eisenach(University of Cooperative Education)EisenachGermany
  2. 2.Institute of Applied MathematicsFriedrich Schiller UniversityJenaGermany
  3. 3.Institute of MathematicsNational Academy of Sciences of UkraineKiev-4Ukraine
  4. 4.Institute of Applied MathematicsLviv Polytechnical National UniversityLvivUkraine

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