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A compact difference scheme for a two dimensional nonlinear fractional Klein-Gordon equation in polar coordinates
Wang Z.2; Vong S.1
2016-06-01
Source PublicationComputers and Mathematics with Applications
ISSN08981221
Volume71Issue:12Pages:2524-2540
Abstract

In this paper, a high order finite difference scheme for a two dimensional nonlinear fractional Klein-Gordon equation in polar coordinates is proposed. The difficulty caused by the variable coefficient and the nonlinear term in the equation is carefully handled. Stability and convergence are analyzed using the matrix form of the scheme. Numerical examples are provided to demonstrate the theoretical results.

KeywordCompact Difference Scheme Convergence Polar Coordinates Stability Two Dimensional Fractional Klein-gordon Equation
DOIhttp://doi.org/10.1016/j.camwa.2016.04.005
URLView the original
Indexed BySCI
Language德语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000378361600002
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Cited Times [WOS]:7   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorWang Z.; Vong S.
Affiliation1.Universidade de Macau
2.Guangdong University of Technology
Recommended Citation
GB/T 7714
Wang Z.,Vong S.. A compact difference scheme for a two dimensional nonlinear fractional Klein-Gordon equation in polar coordinates[J]. Computers and Mathematics with Applications,2016,71(12):2524-2540.
APA Wang Z.,&Vong S..(2016).A compact difference scheme for a two dimensional nonlinear fractional Klein-Gordon equation in polar coordinates.Computers and Mathematics with Applications,71(12),2524-2540.
MLA Wang Z.,et al."A compact difference scheme for a two dimensional nonlinear fractional Klein-Gordon equation in polar coordinates".Computers and Mathematics with Applications 71.12(2016):2524-2540.
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