An operator method for telegraph partial differential and difference equations
[ X ]
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springeropen
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The Cauchy problem for abstract telegraph equations d(2)u(t)/dt(2) + alpha du(t)/dt + Au(t) + beta u(t) = f (t) (0 <= t <= T), u(0) = phi, u'(0) = psi in a Hilbert space H with the self-adjoint positive definite operator A is studied. Stability estimates for the solution of this problem are established. The first and second order of accuracy difference schemes for the approximate solution of this problem are presented. Stability estimates for the solution of these difference schemes are established. In applications, two mixed problems for telegraph partial differential equations are investigated. The methods are illustrated by numerical examples.
Açıklama
Anahtar Kelimeler
telegraph equations, Cauchy problem, Hilbert space, difference schemes, stability
Kaynak
Boundary Value Problems
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
