| Subject |
Local and nonlocal boundary value problems for partial differential equations |
| Title |
On third 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 |
We consider the multipoint nbvp
(1)
Here and are given smooth functions and , is the open cube in the n-dimensional Euclidean space with the boundary and are known constants.
In this work, the third order of accuracy difference scheme generated by the integer power of A approximately solving problem (1) are presented. Stability estimates for the solution of this difference schemes are obtained. The theoretical statements are supported by the numerical results using MATLAB.
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