A linearized second-order finite difference scheme for time fractional generalized BBM equation

doi:10.1016/j.aml.2017.10.011

UM > Faculty of Science and Technology > DEPARTMENT OF MATHEMATICS

Residential College	false
Status	已發表Published
	A linearized second-order finite difference scheme for time fractional generalized BBM equation
	Lyu, Pin; Vong, Seakweng
	2018-04
Source Publication	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
Volume	78 Pages:16-23
Abstract	In this paper, we consider the generalized Benjamin Bona Mahony (BBM) equation with a fractional order derivative in time. By introducing a weighted approach and basing on the L2-1(sigma) formula, a linearized finite difference scheme is proposed to solve the nonlinear problem. The scheme is shown to be unconditionally convergent with second-order in time and space within maximum-norm estimate. (C) 2017 Elsevier Ltd. All rights reserved.
Keyword	Fractional Bbm Equation Linearized Scheme Second-order Convergence Unconditionally Stable
DOI	10.1016/j.aml.2017.10.011
URL	View the original
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000423648200003
Publisher	PERGAMON-ELSEVIER SCIENCE LTD
The Source to Article	WOS
Scopus ID	2-s2.0-85034629774
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science
Citation statistics
Document Type	Journal article
Collection	DEPARTMENT OF MATHEMATICS
Corresponding Author	Vong, Seakweng
Affiliation	Department of Mathematics, University of Macau, Avenida da Universidade, Macau, China
First Author Affilication	University of Macau
Corresponding Author Affilication	University of Macau
Recommended Citation GB/T 7714	Lyu, Pin,Vong, Seakweng. A linearized second-order finite difference scheme for time fractional generalized BBM equation[J]. APPLIED MATHEMATICS LETTERS, 2018, 78, 16-23.
APA	Lyu, Pin., & Vong, Seakweng (2018). A linearized second-order finite difference scheme for time fractional generalized BBM equation. APPLIED MATHEMATICS LETTERS, 78, 16-23.
MLA	Lyu, Pin,et al."A linearized second-order finite difference scheme for time fractional generalized BBM equation".APPLIED MATHEMATICS LETTERS 78(2018):16-23.

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