| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 469033 | Computers & Mathematics with Applications | 2011 | 9 Pages |
Abstract
In this paper, we present a Legendre Petrov–Galekin method for one-dimensional linear fourth-order differential equations. A Legendre Petrov–Galerkin and Chebyshev collocation method is developed for the nonlinear Kuramoto–Sivashinsky equation. Numerical results are presented to demonstrate the efficiency of the proposed schemes, and optimal rates of convergence in the L2L2-norm are rigorously derived.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Ting-Ting Shen, Kang-Zheng Xing, He-Ping Ma,