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A high-order compact scheme for the nonlinear fractional Klein-Gordon equation
Vong S.; Wang Z.
2015-05-01
Source PublicationNumerical Methods for Partial Differential Equations
ISSN10982426 0749159X
Volume31Issue:3Pages:706-722
Abstract

In this article, a high-order finite difference scheme for a kind of nonlinear fractional Klein-Gordon equation is derived. The time fractional derivative is described in the Caputo sense. The solvability of the difference system is discussed by the Leray-Schauder fixed point theorem, while the stability and L convergence of the finite difference scheme are proved by the energy method. Numerical examples are provided to demonstrate the theoretical results.

KeywordCompact Finite Difference Scheme Convergence Nonlinear Fractional Klein-gordon Equation Solvability Stability
DOI10.1002/num.21912
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000351777700006
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Citation statistics
Cited Times [WOS]:20   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorWang Z.
AffiliationUniversidade de Macau
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Vong S.,Wang Z.. A high-order compact scheme for the nonlinear fractional Klein-Gordon equation[J]. Numerical Methods for Partial Differential Equations,2015,31(3):706-722.
APA Vong S.,&Wang Z..(2015).A high-order compact scheme for the nonlinear fractional Klein-Gordon equation.Numerical Methods for Partial Differential Equations,31(3),706-722.
MLA Vong S.,et al."A high-order compact scheme for the nonlinear fractional Klein-Gordon equation".Numerical Methods for Partial Differential Equations 31.3(2015):706-722.
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