A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation
dc.cclicence | CC-BY-NC-ND | en |
dc.contributor.author | Liu, Jianming | en |
dc.contributor.author | Li, X. K. | en |
dc.contributor.author | Hu, X. | en |
dc.date.acceptance | 2018-12-13 | en |
dc.date.accessioned | 2019-02-26T11:00:19Z | |
dc.date.available | 2019-02-26T11:00:19Z | |
dc.date.issued | 2019-02-25 | |
dc.description | The 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.abstract | Numerical 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.funder | N/A | en |
dc.identifier.citation | Liu, 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. 222-238 | en |
dc.identifier.doi | https://doi.org/10.1016/j.jcp.2018.12.043 | |
dc.identifier.issn | 0021-9991 | |
dc.identifier.uri | http://hdl.handle.net/2086/17579 | |
dc.language.iso | en | en |
dc.peerreviewed | Yes | en |
dc.projectid | N/A | en |
dc.publisher | Elsevier | en |
dc.researchgroup | the Institute of Engineering Sciences | en |
dc.subject | Variable-order time fractional | en |
dc.subject | Neumann boundary condition | en |
dc.subject | RBF-DQ | en |
dc.subject | Differential quadrature method | en |
dc.subject | Radial basis function | en |
dc.title | A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation | en |
dc.type | Article | en |
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