Explicit Finite Difference Methods for the Delay Pseudoparabolic Equations
[ X ]
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hindawi Publishing Corporation
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Finite difference technique is applied to numerical solution of the initial-boundary value problem for the semilinear delay Sobolev or pseudoparabolic equation. By the method of integral identities two-level difference scheme is constructed. For the time integration the implicit rule is being used. Based on the method of energy estimates the fully discrete scheme is shown to be absolutely stable and convergent of order two in space and of order one in time. The error estimates are obtained in the discrete norm. Some numerical results confirming the expected behavior of the method are shown.
Açıklama
Anahtar Kelimeler
Sobolev Equations
Kaynak
Scientific World Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
