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**On the numerical solution of fractional hyperbolic partial differential equations.**
*(English)*
Zbl 1184.65083

Summary: A stable difference scheme for the numerical solution of a mixed problem for a 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 a modified Gauss elimination method is used for solving this difference scheme in the case of one-dimensional fractional hyperbolic partial differential equations.

### MSC:

65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |

35R11 | Fractional partial differential equations |

65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |

35L99 | Hyperbolic equations and hyperbolic systems |

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\textit{A. Ashyralyev} et al., Math. Probl. Eng. 2009, Article ID 730465, 11 p. (2009; Zbl 1184.65083)

### References:

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