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- W75486122 abstract "In this paper,a Riesz space fractional advection-dispersion equation(RSFADE) is considered,which is derived from the kinetics of chaotic dynamics.Following work by Ilic and Liu et al,a new computationally efficient method for solving the RSFADE on a bounded domain is proposed.The method is based on the matrix representation of both the Riesz space fractional operators.The novelty of this method is that a standard discretisation of the operator leads to a system of ordinary differential equations(ODEs) with the matrix raised the same fractional power.Then the ODEs is solved by a computationally efficient fractional method of lines.Using a spectral representation of the fractional derivatives and the Laplace transform,the analysis solution of this equation is also derived.Finally,a numerical example is given to demonstrate that this numerical method is computationally efficient." @default.
- W75486122 created "2016-06-24" @default.
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- W75486122 date "2008-01-01" @default.
- W75486122 modified "2023-09-28" @default.
- W75486122 title "A computationally efficient solution method for a riesz space fractional advection-dispersion equation" @default.
- W75486122 hasPublicationYear "2008" @default.
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