Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator

Ashyralyev, Allaberen; Yildirim, Ozgur

doi:10.1016/j.amc.2011.03.155

Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator

Atıf İçin Kopyala

Ashyralyev A., Yildirim O.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.3, ss.1124-1131, 2011 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 218 Sayı: 3
Basım Tarihi: 2011
Doi Numarası: 10.1016/j.amc.2011.03.155
Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1124-1131
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the present paper the first and second orders of accuracy difference schemes for the numerical solution of multidimensional hyperbolic equations with nonlocal boundary and Dirichlet conditions are presented. The stability estimates for the solution of difference schemes are obtained. A method is used for solving these difference schemes in the case of one dimensional hyperbolic equation. (C) 2011 Elsevier Inc. All rights reserved.