A New Linear Difference Scheme for Generalized Rosenau-Kawahara Equation
Joint Authors
Xiang, Kaili
Chen, Peimin
Chen, Tao
Luo, Xuemei
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We introduce in this paper a new technique, a semiexplicit linearized Crank-Nicolson finite difference method, for solving the generalized Rosenau-Kawahara equation.
We first prove the second-order convergence in L∞-norm of the difference scheme by an induction argument and the discrete energy method, and then we obtain the prior estimate in L∞-norm of the numerical solutions.
Moreover, the existence, uniqueness, and satiability of the numerical solution are also shown.
Finally, numerical examples show that the new scheme is more efficient in terms of not only accuracy but also CPU time in implementation.
American Psychological Association (APA)
Chen, Tao& Xiang, Kaili& Chen, Peimin& Luo, Xuemei. 2018. A New Linear Difference Scheme for Generalized Rosenau-Kawahara Equation. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1208130
Modern Language Association (MLA)
Chen, Tao…[et al.]. A New Linear Difference Scheme for Generalized Rosenau-Kawahara Equation. Mathematical Problems in Engineering No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1208130
American Medical Association (AMA)
Chen, Tao& Xiang, Kaili& Chen, Peimin& Luo, Xuemei. A New Linear Difference Scheme for Generalized Rosenau-Kawahara Equation. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1208130
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208130