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Numerical approaches for solution of hyperbolic difference equations on circle

  • Allaberen Ashyralyev , Fatih Hezenci EMAIL logo and Yasar Sozen

Abstract

The present paper considers nonlocal boundary value problems for hyperbolic equations on the circle T 1 . 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.

MSC 2010: 58Jxx; 58J32; 58J99

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Received: 2023-02-17
Accepted: 2023-10-18
Published Online: 2024-01-04

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