On convergence of difference schemes for delay parabolic equations
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The convergence of difference schemes for the approximate solutions of the initial boundary value problem for the delay parabolic differential equation {dv(t/)dt + Av(t) = B(t)v(t - omega), t >= 0, v(t) = g(t) (-omega <= t <= 0) in an arbitrary Banach space E with the unbounded linear operators A and B(t) in E with dense domains D(A) subset of D(B(t)) is investigated. Theorems on convergence estimates for the solutions of the first and the second order of accuracy difference schemes in fractional spaces E-alpha are established. In practice, the convergence estimates in Holder norms for the solutions of difference schemes of the first and the second order of approximation in t of the approximate solutions of multi-dimensional delay parabolic equations are obtained. The theoretical statements for the solution of these difference schemes are supported by the numerical example. (C) 2013 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Delay Parabolic Equations, Difference Schemes, Convergence, Stability Properties, Numerical-Methods, Collocation, Constant, Systems
Kaynak
Computers & Mathematics With Applications
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
66
Sayı
7
