High order difference schemes for a time fractional differential equation with neumann boundary conditions

doi:10.4208/eajam.281013.300414a

UM > Faculty of Science and Technology > DEPARTMENT OF MATHEMATICS

Residential College	false
Status	已發表Published
	High order difference schemes for a time fractional differential equation with neumann boundary conditions
	Vong S.; Wang Z.
	2014
Source Publication	East Asian Journal on Applied Mathematics
ISSN	20797370 20797362
Volume	4 Issue:3 Pages:222-241
Abstract	A compact finite difference scheme is derived for a time fractional differential equation subject to Neumann boundary conditions. The proposed scheme is secondorder accurate in time and fourth-order accurate in space. In addition, a high order alternating direction implicit (ADI) scheme is also constructed for the two-dimensional case. The stability and convergence of the schemes are analysed using their matrix forms. © 2014 Global-Science Press.
Keyword	Compact Adi Scheme Convergence Neumann Boundary Conditions Time Fractional Differential Equation Weighted And Shifted Grünwald Difference Operator
DOI	10.4208/eajam.281013.300414a
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000340033900002
Scopus ID	2-s2.0-84903206665
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
Corresponding Author	Vong S.
Affiliation	Universidade de Macau
First Author Affilication	University of Macau
Corresponding Author Affilication	University of Macau
Recommended Citation GB/T 7714	Vong S.,Wang Z.. High order difference schemes for a time fractional differential equation with neumann boundary conditions[J]. East Asian Journal on Applied Mathematics, 2014, 4(3), 222-241.
APA	Vong S.., & Wang Z. (2014). High order difference schemes for a time fractional differential equation with neumann boundary conditions. East Asian Journal on Applied Mathematics, 4(3), 222-241.
MLA	Vong S.,et al."High order difference schemes for a time fractional differential equation with neumann boundary conditions".East Asian Journal on Applied Mathematics 4.3(2014):222-241.

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