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A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions
Vong S.; Wang Z.
2014-10-01
Source PublicationJournal of Computational Physics
ISSN10902716 00219991
Volume274Pages:268-282
Abstract

In this paper, a high order finite difference scheme for a two dimensional fractional Klein-Gordon equation subject to Neumann boundary conditions is proposed. The difficulty induced by the nonlinear term and the Neumann conditions is carefully handled in the proposed scheme. The stability and convergence of the finite difference scheme are analyzed using the matrix form of the scheme. Numerical examples are provided to demonstrate the theoretical results. © 2014 Elsevier Inc.

KeywordCompact Difference Scheme Convergence Stability Two Dimensional Fractional Klein-gordon Equation
DOIhttp://doi.org/10.1016/j.jcp.2014.06.022
URLView the original
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000340335800014
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Citation statistics
Cited Times [WOS]:40   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorVong S.; Wang Z.
AffiliationUniversidade de Macau
Recommended Citation
GB/T 7714
Vong S.,Wang Z.. A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions[J]. Journal of Computational Physics,2014,274:268-282.
APA Vong S.,&Wang Z..(2014).A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions.Journal of Computational Physics,274,268-282.
MLA Vong S.,et al."A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions".Journal of Computational Physics 274(2014):268-282.
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