On fourth order of accuracy stable difference scheme for multipoint nbvp of the hyperbolic type

Subject Computational methods in partial differential equations
Title On fourth order of accuracy stable difference scheme for multipoint nbvp of the hyperbolic type
Author(s) Ozgur Yildirim, Meltem Uzun
Keywords multipoint nonlocal boundary value problem, difference schemes, convergence, stability, numerical analysis
Abstract In this work, we consider the multipoint nbvp of the hyperbolic type. The fourth order of accuracy difference scheme generated by the integer power of A approximately solving problem nbvp of the hyperbolic type are presented. Stability estimates for the solution of this difference schemes are obtained. The theoretical statements for are supported by the numerical results using MATLAB.