Optimal Error Estimate of Chebyshev-Legendre Spectral Method for the Generalised Benjamin-Bona-Mahony-Burgers Equations
Joint Authors
Wu, Yu-Jiang
Liu, Yongli
Zhao, Tinggang
Su, Wanghui
Zhang, Xiaoxian
Huo, Jinxia
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-07
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
Combining with the Crank-Nicolson/leapfrog scheme in time discretization, Chebyshev-Legendre spectral method is applied to space discretization for numerically solving the Benjamin-Bona-Mahony-Burgers (gBBM-B) equations.
The proposed approach is based on Legendre Galerkin formulation while the Chebyshev-Gauss-Lobatto (CGL) nodes are used in the computation.
By using the proposed method, the computational complexity is reduced and both accuracy and efficiency are achieved.
The stability and convergence are rigorously set up.
Optimal error estimate of the Chebyshev-Legendre method is proved for the problem with Dirichlet boundary condition.
The convergence rate shows “spectral accuracy.” Numerical experiments are presented to demonstrate the effectiveness of the method and to confirm the theoretical results.
American Psychological Association (APA)
Zhao, Tinggang& Zhang, Xiaoxian& Huo, Jinxia& Su, Wanghui& Liu, Yongli& Wu, Yu-Jiang. 2012. Optimal Error Estimate of Chebyshev-Legendre Spectral Method for the Generalised Benjamin-Bona-Mahony-Burgers Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-446861
Modern Language Association (MLA)
Zhao, Tinggang…[et al.]. Optimal Error Estimate of Chebyshev-Legendre Spectral Method for the Generalised Benjamin-Bona-Mahony-Burgers Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-446861
American Medical Association (AMA)
Zhao, Tinggang& Zhang, Xiaoxian& Huo, Jinxia& Su, Wanghui& Liu, Yongli& Wu, Yu-Jiang. Optimal Error Estimate of Chebyshev-Legendre Spectral Method for the Generalised Benjamin-Bona-Mahony-Burgers Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-446861
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446861