A note on the difference schemes for hyperbolic-elliptic equations
Autor: | A. Ashyralyev, G. Judakova, P. E. Sobolevskii |
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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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