Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520078 | Journal of Computational Physics | 2009 | 13 Pages |
Abstract
A Galerkin scheme is presented for a class of conservative nonlinear dispersive equations, such as the Camassa–Holm equation and the regularized long wave equation. The scheme has two advantageous features: first, it is conservative in that it keeps the discrete analogue of the continuous energy conservation property in the original equations; second, it can be formulated only with cheap H1H1-elements even if the original equations include third derivative uxxxuxxx. Numerical experiments confirm the stability and effectiveness of the proposed scheme.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Takayasu Matsuo, Hisashi Yamaguchi,