Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630033 | Applied Mathematics and Computation | 2012 | 7 Pages |
Abstract
In this paper, a compact predictor–corrector finite difference scheme is proposed to solve the Burgers’ equation. The scheme is based on compact derivatives approximation, by which we get the spatial approximations of first-order derivatives and second-order derivatives with fourth-order accuracy (both for inner nodes and boundary nodes). For the first time derivative item, a two-step predictor–corrector method called MacCormack method is used. Numerical experiments show the scheme is in good agreement with the exact solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Pei-Guang Zhang, Jian-Ping Wang,