File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1016/j.camwa.2019.04.012
- Scopus: eid_2-s2.0-85065028414
- WOS: WOS:000482248100019
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: A fast solver for multidimensional time–space fractional diffusion equation with variable coefficients
Title | A fast solver for multidimensional time–space fractional diffusion equation with variable coefficients |
---|---|
Authors | |
Keywords | Variable coefficients Time–space fractional diffusion equation Multi-dimension Fast solver |
Issue Date | 2019 |
Citation | Computers and Mathematics with Applications, 2019, v. 78, n. 5, p. 1477-1489 How to Cite? |
Abstract | © 2019 Elsevier Ltd In this paper, we study a discretization scheme and the corresponding fast solver for multi-dimensional time–space fractional diffusion equation with variable coefficients, in which L1 formula and shifted Grünwald formula are employed to discretize the temporal and spatial derivatives, respectively. A divide-and-conquer strategy is applied to the large linear system assembling discrete equations of all time levels, which in turn requires to solve a series of multidimensional linear systems related to the spatial discretization. Preconditioned generalized minimal residual method is employed to solve the spatial linear systems resulting from the spatial discretization. The discretization is proven to be unconditionally stable and convergent in the sense of infinity norm for general nonnegative coefficients. Numerical results are reported to show the efficiency of the proposed method. |
Persistent Identifier | http://hdl.handle.net/10722/276647 |
ISSN | 2023 Impact Factor: 2.9 2023 SCImago Journal Rankings: 0.949 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lin, Xue Lei | - |
dc.contributor.author | Ng, Michael K. | - |
dc.date.accessioned | 2019-09-18T08:34:14Z | - |
dc.date.available | 2019-09-18T08:34:14Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Computers and Mathematics with Applications, 2019, v. 78, n. 5, p. 1477-1489 | - |
dc.identifier.issn | 0898-1221 | - |
dc.identifier.uri | http://hdl.handle.net/10722/276647 | - |
dc.description.abstract | © 2019 Elsevier Ltd In this paper, we study a discretization scheme and the corresponding fast solver for multi-dimensional time–space fractional diffusion equation with variable coefficients, in which L1 formula and shifted Grünwald formula are employed to discretize the temporal and spatial derivatives, respectively. A divide-and-conquer strategy is applied to the large linear system assembling discrete equations of all time levels, which in turn requires to solve a series of multidimensional linear systems related to the spatial discretization. Preconditioned generalized minimal residual method is employed to solve the spatial linear systems resulting from the spatial discretization. The discretization is proven to be unconditionally stable and convergent in the sense of infinity norm for general nonnegative coefficients. Numerical results are reported to show the efficiency of the proposed method. | - |
dc.language | eng | - |
dc.relation.ispartof | Computers and Mathematics with Applications | - |
dc.subject | Variable coefficients | - |
dc.subject | Time–space fractional diffusion equation | - |
dc.subject | Multi-dimension | - |
dc.subject | Fast solver | - |
dc.title | A fast solver for multidimensional time–space fractional diffusion equation with variable coefficients | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.camwa.2019.04.012 | - |
dc.identifier.scopus | eid_2-s2.0-85065028414 | - |
dc.identifier.volume | 78 | - |
dc.identifier.issue | 5 | - |
dc.identifier.spage | 1477 | - |
dc.identifier.epage | 1489 | - |
dc.identifier.isi | WOS:000482248100019 | - |
dc.identifier.issnl | 0898-1221 | - |