Journal of Applied Mathematics

Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers Equation

Hai-tao Che, Xin-tian Pan, Lu-ming Zhang, and Yi-ju Wang

Full-text: Open access

Abstract

A linear-implicit finite difference scheme is given for the initial-boundary problem of GBBM-Burgers equation, which is convergent and unconditionally stable. The unique solvability of numerical solutions is shown. A priori estimate and second-order convergence of the finite difference approximate solution are discussed using energy method. Numerical results demonstrate that the scheme is efficient and accurate.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 308410, 14 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495065

Digital Object Identifier
doi:10.1155/2012/308410

Mathematical Reviews number (MathSciNet)
MR2889127

Zentralblatt MATH identifier
1235.76090

Citation

Che, Hai-tao; Pan, Xin-tian; Zhang, Lu-ming; Wang, Yi-ju. Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers Equation. J. Appl. Math. 2012 (2012), Article ID 308410, 14 pages. doi:10.1155/2012/308410. https://projecteuclid.org/euclid.jam/1355495065


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