Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations

Hdl Handle:
http://hdl.handle.net/10034/620426
Title:
Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations
Authors:
Liu, Yanmei; Yan, Yubin; Khan, Monzorul
Abstract:
In this paper, we consider the discontinuous Galerkin time stepping method for solving the linear space fractional partial differential equations. The space fractional derivatives are defined by using Riesz fractional derivative. The space variable is discretized by means of a Galerkin finite element method and the time variable is discretized by the discontinuous Galerkin method. The approximate solution will be sought as a piecewise polynomial function in $t$ of degree at most $q-1, q \geq 1$, which is not necessarily continuous at the nodes of the defining partition. The error estimates in the fully discrete case are obtained and the numerical examples are given.
Affiliation:
LuLiang University; University of Chester
Citation:
Liu, Y., Yan, Y., & Khan, M. (2017). Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations. Applied Numerical Mathematics, 115, 200-213. DOI: 10.1016/j.apnum.2017.01.009
Publisher:
Elsevier
Journal:
Applied Numerical Mathematics
Publication Date:
23-Jan-2017
URI:
http://hdl.handle.net/10034/620426
DOI:
10.1016/j.apnum.2017.01.009
Additional Links:
http://www.sciencedirect.com/science/article/pii/S0168927417300247
Type:
Article
Language:
en
EISSN:
1873-5460
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorLiu, Yanmeien
dc.contributor.authorYan, Yubinen
dc.contributor.authorKhan, Monzorulen
dc.date.accessioned2017-03-02T16:57:44Z-
dc.date.available2017-03-02T16:57:44Z-
dc.date.issued2017-01-23-
dc.identifier.citationLiu, Y., Yan, Y., & Khan, M. (2017). Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations. Applied Numerical Mathematics, 115, 200-213. DOI: 10.1016/j.apnum.2017.01.009en
dc.identifier.doi10.1016/j.apnum.2017.01.009-
dc.identifier.urihttp://hdl.handle.net/10034/620426-
dc.description.abstractIn this paper, we consider the discontinuous Galerkin time stepping method for solving the linear space fractional partial differential equations. The space fractional derivatives are defined by using Riesz fractional derivative. The space variable is discretized by means of a Galerkin finite element method and the time variable is discretized by the discontinuous Galerkin method. The approximate solution will be sought as a piecewise polynomial function in $t$ of degree at most $q-1, q \geq 1$, which is not necessarily continuous at the nodes of the defining partition. The error estimates in the fully discrete case are obtained and the numerical examples are given.en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0168927417300247en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectSpace fractional partial differential equationsen
dc.subjectDiscontinuous Galerkin methoden
dc.subjectFinite element methoden
dc.subjectError estimatesen
dc.titleDiscontinuous Galerkin time stepping method for solving linear space fractional partial differential equationsen
dc.typeArticleen
dc.identifier.eissn1873-5460-
dc.contributor.departmentLuLiang University; University of Chesteren
dc.identifier.journalApplied Numerical Mathematicsen
dc.date.accepted2017-01-16-
or.grant.openaccessYesen
rioxxterms.funderUnfundeden
rioxxterms.identifier.projectUnfundeden
rioxxterms.versionAMen
rioxxterms.licenseref.startdate2019-01-23-
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