On numerical solutions for hyperbolic-parabolic equations with the multipoint nonlocal boundary condition
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Dosyalar
Tarih
2014
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Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A numerical method is proposed for solving multi-dimensional hyperbolic parabolic differential equations with the nonlocal boundary condition in t and Dirichlet and Neumann conditions in space variables. The first and second order of accuracy difference schemes are presented. The stability estimates for the solution and its first and second orders difference derivatives are established. A procedure of modified Gauss elimination method is used for solving these difference schemes in the case of a one-dimensional hyperbolic parabolic differential equations with variable coefficients in x and two-dimensional hyperbolic parabolic equation. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
Açıklama
International Conference on Applied Analysis and Algebra (ICAAA) -- JUN 27-JUL 02, 2011 -- Istanbul, TURKEY
Ashyralyev, Allaberen/0000-0003-1552-0618
WOS: 000329972500002
Ashyralyev, Allaberen/0000-0003-1552-0618
WOS: 000329972500002
Anahtar Kelimeler
Kaynak
Journal Of The Franklin Institute-Engineering And Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
351
Sayı
2