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dc.creatorBengtsson, Lars
dc.creatorDeng, Zhi-Qiang
dc.creatorSingh, Vijay P.
dc.date.accessioned2017-10-19T14:44:35Z
dc.date.available2017-10-19T14:44:35Z
dc.date.issued2004-05-01
dc.identifier.issn0733-9429
dc.identifier.urihttp://hdl.handle.net/1969.1/164672
dc.description.abstractNumerical schemes and stability criteria are developed for solution of the one-dimensional fractional advection-dispersion equation (FRADE) derived by revising Fick’s first law. Employing 74 sets of dye test data measured on natural streams, it is found that the fractional order F of the partial differential operator acting on the dispersion term varies around the most frequently occurring value of F=1.65 in the range of 1.4 to 2.0. Two series expansions are proposed for approximation of the limit definitions of fractional derivatives. On this ground, two three-term finite-difference schemes—‘‘1.3 Backward Scheme’’ having the first-order accuracy and ‘‘F.3 Central Scheme’’ possessing the F-th order accuracy—are presented for fractional order derivatives. The F.3 scheme is found to perform better than does the 1.3 scheme in terms of error and stability analyses and is thus recommended for numerical solution of FRADE. The fractional dispersion model characterized by the FRADE and the F.3 scheme can accurately simulate the long-tailed dispersion processes in natural rivers.en_US
dc.language.isoen_USen_US
dc.subjectRiversen_US
dc.subjectAdvectionen_US
dc.subjectWave dispersionen_US
dc.subjectNumerical modelsen_US
dc.subjectStability analysisen_US
dc.titleNumerical Solution of Fractional Advection-Dispersion Equationen_US
dc.typeArticleen_US
local.departmentBiological and Agricultural Engineering (College of Agriculture and Life Sciences)en_US
dc.identifier.doi10.1061/(ASCE)0733-9429(2004)130:5(422)


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