On the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space

Ashyralyev, A; Koksal, Mehmet

doi:10.1080/01630560500431068

On the second order of accuracy difference scheme for hyperbolic equations in a Hilbert space

Ashyralyev A., Koksal M. E.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.26, sa.7-8, ss.739-772, 2005 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 26 Sayı: 7-8
Basım Tarihi: 2005
Doi Numarası: 10.1080/01630560500431068
Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.739-772
Ondokuz Mayıs Üniversitesi Adresli: Hayır

Özet

The initial-value problem for hyperbolic equation [GRAPHICS] in a Hilbert space H with the self-adjoint positive definite operators A ( t ) is considered. The second order of accuracy absolute stable difference scheme for approximately solving this abstract initial-value problem is presented. The stability estimates for the solution of this difference scheme and for the first- and second-order difference derivatives are established.