Numerical approaches for solution of hyperbolic difference equations on circle

The present paper considers nonlocal boundary value problems for hyperbolic equations on the circle T1. The first-order modified difference scheme for the numerical solution of nonlocal boundary value problems for hyperbolic equations on a circle is presented. The stability and coercivity estimates in various Hölder norms for solutions of the difference schemes are established. Moreover, numerical examples are provided. © 2024 Elsevier B.V., All rights reserved.