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The hyperbolic–elliptic equation with the nonlocal condition
Author(s) -
Ashyralyev Allaberen,
Özger Faruk
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2811
Subject(s) - mathematics , boundary value problem , hilbert space , mathematical analysis , hyperbolic partial differential equation , stability (learning theory) , elliptic curve , boundary (topology) , space (punctuation) , partial differential equation , linguistics , philosophy , machine learning , computer science
The nonlocal boundary value problem for a hyperbolic–elliptic equation in a Hilbert space is considered. The stability estimate for the solution of the given problem is obtained. The first and second orders of difference schemes approximately solving this boundary value problem are presented. The stability estimates for the solution of these difference schemes are established. The theoretical statements for the solution of these difference schemes are supported by the results of numerical experiments. Copyright © 2013 John Wiley & Sons, Ltd.