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On the Numerical Solution of Fractional Hyperbolic Partial Differential Equations

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  • Allaberen Ashyralyev
  • Fadime Dal
  • Zehra Pinar

Abstract

The stable difference scheme for the numerical solution of the mixed problem for the multidimensional fractional hyperbolic equation is presented. Stability estimates for the solution of this difference scheme and for the first and second orders difference derivatives are obtained. A procedure of modified Gauss elimination method is used for solving this difference scheme in the case of one-dimensional fractional hyperbolic partial differential equations.

Suggested Citation

  • Allaberen Ashyralyev & Fadime Dal & Zehra Pinar, 2009. "On the Numerical Solution of Fractional Hyperbolic Partial Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-11, September.
    • Handle: RePEc:hin:jnlmpe:730465
    DOI: 10.1155/2009/730465
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