A note on the difference schemes for hyperbolic-elliptic equations

Autor: A. Ashyralyev, G. Judakova, P. E. Sobolevskii
Jazyk: angličtina
Rok vydání: 2006
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2006 (2006)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/AAA/2006/14816
Popis: The nonlocal boundary value problem for hyperbolic-elliptic equation d2u(t)/dt2+Au(t)=f(t), (0≤t≤1), −d2u(t)/dt2+Au(t)=g(t), (−1≤t≤0), u(0)=ϕ, u(1)=u(−1) in a Hilbert space H is considered. The second order of accuracy difference schemes for approximate solutions of this boundary value problem are presented. The stability estimates for the solution of these difference schemes are established.
Databáze: Directory of Open Access Journals
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