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 k≥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.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
