On the numerical solution of fractional hyperbolic partial differential equations (Q1036455)

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scientific article; zbMATH DE number 5632537
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On the numerical solution of fractional hyperbolic partial differential equations
scientific article; zbMATH DE number 5632537

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    On the numerical solution of fractional hyperbolic partial differential equations (English)
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    13 November 2009
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    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.
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    difference scheme
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    fractional hyperbolic equation
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    stability
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    modified Gauss elimination
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