NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, vol.38, pp.1305-1324, 2017 (Journal Indexed in SCI)
Article / Article
Title of Journal :
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Abstract hyperbolic equations, difference equations, nonlocal and multipoint boundary value problems, stability, 35L90, 65N12, 39A14, 34B10, BOUNDARY-VALUE-PROBLEMS, HIGH-ORDER, EQUATIONS
This paper presents a fourth order of accuracy unconditionally stable difference scheme for the approximate solution of multipoint nonlocal boundary value hyperbolic problem in a Hilbert space with a self-adjoint positive definite operator. Stability estimates for the solution of this difference scheme are established. To support the theoretical statements, some results of numerical experiments are presented using finite difference method.