An operator method for telegraph partial differential and difference equations

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Tarih

2015

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

Cilt

Sayı

Künye