A difference scheme for Cauchy problem for the hyperbolic equation with self-adjoint operator

Ashyralyev A., Koksal M. E., Agarwal R. P.

MATHEMATICAL AND COMPUTER MODELLING, cilt.52, sa.1-2, ss.409-424, 2010 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 1-2
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.mcm.2010.03.012
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.409-424
  • Ondokuz Mayıs Üniversitesi Adresli: Hayır

Özet

A new second order absolutely stable difference scheme is presented for Cauchy problem for second-order hyperbolic differential equations containing the operator A(t). this scheme makes use of this operator which is unbounded linear self-adjoint positive definite with domain in an arbitrary Hilbert space. The stability estimates for the solution of this difference scheme and for the first and second-order difference derivatives are established. The theoretical statements for the solution of this difference scheme are supported by the results of numerical experiments. (C) 2010 Elsevier Ltd. All rights reserved.