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The Fourth Order of Accuracy Decomposition Scheme for Abstract Hyperbolic Equation

  • Jemal Rogava und Mikheil Tsiklauri
Veröffentlicht/Copyright: 10. März 2010
Veröffentlichen auch Sie bei De Gruyter Brill
Georgian Mathematical Journal
Aus der Zeitschrift Band 15 Heft 1

Abstract

Using the rational splitting of a cosine operator-function, the fourth order accuracy decomposition scheme is constructed for hyperbolic equation when the principal operator is self-adjoint positively defined and is represented as a sum of two summands. Stability of the constructed scheme is shown and the error of an approximate solution is estimated.

Received: 2006-10-20
Revised: 2007-06-01
Published Online: 2010-03-10
Published in Print: 2008-March

© Heldermann Verlag

Heruntergeladen am 29.10.2025 von https://www.degruyterbrill.com/document/doi/10.1515/GMJ.2008.165/html
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