Open AccessOn the NBVP for semilinear hyperbolic equations
Author(s) -
Necmettin Ağgez,
Gulay Yucel
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1704999a
Subject(s) - mathematics , hilbert space , convergence (economics) , hyperbolic partial differential equation , scheme (mathematics) , mathematical analysis , space (punctuation) , order (exchange) , boundary value problem , boundary (topology) , partial differential equation , economic growth , linguistics , philosophy , finance , economics
This paper is concerned with establishing the solvability of the nonlocal boundary value problem for the semilinear hyperbolic equation in a Hilbert space. For the approximate solution of this problem, the first order of accuracy difference scheme is presented. Under some assumptions, the convergence estimate for the solution of this difference scheme is obtained. Moreover, these results are supported by a numerical example.