Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems

doi:10.1080/00207160.2015.1070840

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	Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems
	Guo L.1 ; Wang Z.1 ; Vong S.1
	2016-10-02
Source Publication	International Journal of Computer Mathematics
ISSN	10290265 00207160
Volume	93 Issue:10 Pages:1665-1682
Abstract	In this paper, we study the local discontinuous Galerkin (LDG) method for some time-fractional fourth-order differential equations. The method was recently employed to solve the problem and shown to converge with order O(τh + τ + τh + h). We find that the LDG method can actually achieve convergence rate equals O(τ + h). The claims are justified by numerical tests.
Keyword	Convergence Local Discontinuous Galerkin Method Stability Time-fractional Fourth-order Equations
DOI	10.1080/00207160.2015.1070840
URL	View the original
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000380812900003
Scopus ID	2-s2.0-84938629325
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science View Full-Text via Scopus
Citation statistics
Document Type	Journal article
Collection	DEPARTMENT OF MATHEMATICS
Affiliation	1.Universidade de Macau 2.Chongqing University
First Author Affilication	University of Macau
Recommended Citation GB/T 7714	Guo L.,Wang Z.,Vong S.. Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems[J]. International Journal of Computer Mathematics, 2016, 93(10), 1665-1682.
APA	Guo L.., Wang Z.., & Vong S. (2016). Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems. International Journal of Computer Mathematics, 93(10), 1665-1682.
MLA	Guo L.,et al."Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems".International Journal of Computer Mathematics 93.10(2016):1665-1682.

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