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Finite Difference Method for Hyperbolic Equations with the Nonlocal Integral Condition

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  • Allaberen Ashyralyev
  • Necmettin Aggez

Abstract

The stable difference schemes for the approximate solution of the nonlocal boundary value problem for multidimensional hyperbolic equations with dependent in space variable coefficients are presented. Stability of these difference schemes and of the first- and second-order difference derivatives is obtained. The theoretical statements for the solution of these difference schemes for one-dimensional hyperbolic equations are supported by numerical examples.

Suggested Citation

  • Allaberen Ashyralyev & Necmettin Aggez, 2011. "Finite Difference Method for Hyperbolic Equations with the Nonlocal Integral Condition," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-15, February.
    • Handle: RePEc:hin:jnddns:562385
    DOI: 10.1155/2011/562385
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    Cited by:

    1. Heng Cheng & Miaojuan Peng, 2021. "The Improved Element-Free Galerkin Method for 3D Helmholtz Equations," Mathematics, MDPI, vol. 10(1), pages 1-20, December.

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