Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629706 | Applied Mathematics and Computation | 2012 | 8 Pages |
Abstract
In this paper, a linear-implicit finite difference scheme is given for the initial-boundary problem of Rosenau–Burgers equation, which is convergent and unconditionally stable. The unique solvability of numerical solutions has been 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xintian Pan, Luming Zhang,