Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422870 | Journal of Computational and Applied Mathematics | 2014 | 15 Pages |
Abstract
We study the superconvergence property of the local discontinuous Galerkin (LDG) method for solving the linearized Korteweg-de Vries (KdV) equation. We prove that, if the piecewise Pk polynomials with kâ¥1 are used, the LDG solution converges to a particular projection of the exact solution with the order k+3/2, when the upwind flux is used for the convection term and the alternating flux is used for the dispersive term. Numerical examples are provided at the end to support the theoretical results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Casey Hufford, Yulong Xing,