A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation

dc.cclicenceCC-BY-NC-NDen
dc.contributor.authorLiu, Jianmingen
dc.contributor.authorLi, X. K.en
dc.contributor.authorHu, X.en
dc.date.acceptance2018-12-13en
dc.date.accessioned2019-02-26T11:00:19Z
dc.date.available2019-02-26T11:00:19Z
dc.date.issued2019-02-25
dc.descriptionThe file attached to this record is the author's final peer reviewed version. The Publisher's final version can be found by following the DOI link.en
dc.description.abstractNumerical simulation technique of two-dimensional variable-order time fractional advection-diffusion equation is developed in this paper using radial basis function-based differential quadrature method (RBF-DQ). To the best of the authors’ knowledge, this is the first application of this method to variable-order time fractional advection-diffusion equations. For the general case of irregular geometries, the meshless local form of RBF-DQ is used and the multiquadric type of radial basis functions is selected for the computations. This approach allows one to define a reconstruction of the local radial basis functions to treat accurately both the Dirichlet and Neumann boundary conditions on the irregular boundaries. The method is validated by the well documented test examples involving variable-order fractional modelling of air pollution. The numerical results demonstrate that the proposed method provides accurate solutions fortwo-dimensional variable-order time fractional advection-diffusion equations.en
dc.funderN/Aen
dc.identifier.citationLiu, J., Li, X.K., Hu, X. (2019) A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation. Journal of Computational Physics, 384, pp. 222-238en
dc.identifier.doihttps://doi.org/10.1016/j.jcp.2018.12.043
dc.identifier.issn0021-9991
dc.identifier.urihttp://hdl.handle.net/2086/17579
dc.language.isoenen
dc.peerreviewedYesen
dc.projectidN/Aen
dc.publisherElsevieren
dc.researchgroupthe Institute of Engineering Sciencesen
dc.subjectVariable-order time fractionalen
dc.subjectNeumann boundary conditionen
dc.subjectRBF-DQen
dc.subjectDifferential quadrature methoden
dc.subjectRadial basis functionen
dc.titleA RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equationen
dc.typeArticleen

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