Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634431 | Applied Mathematics and Computation | 2008 | 6 Pages |
Abstract
In this paper, a Crank–Nicolson finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau–Burgers equation is proposed. Existence and uniqueness of numerical solutions are derived. It is proved that the finite difference scheme is convergent in the order of o(τ2+h2)o(τ2+h2) and stable. Numerical simulations show that the method is efficient.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Bing Hu, Youcai Xu, Jinsong Hu,