An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation (Q297558)
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scientific article; zbMATH DE number 6598443
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation |
scientific article; zbMATH DE number 6598443 |
Statements
An implicit numerical method of a new time distributed-order and two-sided space-fractional advection-dispersion equation (English)
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27 June 2016
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The authors discuss an implicit numerical method of a new time distributed-order and two-sided space fractional advection-dispersion equation. Based on the observations from several papers in the literature, the authors focus on deriving a numerical method for a new time distributed-order and two-sided space fractional advection-dispersion equation (TDO-TSSFADE). An implicit numerical method is proposed for the TDO-TSSFADE. The uniqueness, stability and convergence of the implicit numerical method are discussed. Some numerical results are presented to illustrate the effectiveness of the method.
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implicit numerical method
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distributed-order fractional derivative
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two-sided space-fractional derivative
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stability
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convergence
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advection-dispersion equation
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numerical result
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