Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-De Vries equation
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1380-1394 |
| Journal / Publication | SIAM Journal on Numerical Analysis |
| Volume | 39 |
| Issue number | 4 |
| Publication status | Published - 2002 |
Link(s)
Abstract
In this paper, the Legendre-Petrov-Galerkin method for the Korteweg-de Vries equation with nonperiodic boundary conditions is analyzed. The nonlinear term is computed with the Legendre spectral method and some pseudospectral methods, respectively. Optimal error estimates in L2-norm are obtained for both semidiscrete and fully discrete schemes. The method is also applicable to some (2m + 1)th-order differential equations.
Research Area(s)
- Korteweg-de Vries equation, Legendre-Petrov-Galerkin, Pseudospectral
Citation Format(s)
Optimal error estimates of the Legendre-Petrov-Galerkin method for the Korteweg-De Vries equation. / Ma, Heping; Sun, Weiwei.
In: SIAM Journal on Numerical Analysis, Vol. 39, No. 4, 2002, p. 1380-1394.
In: SIAM Journal on Numerical Analysis, Vol. 39, No. 4, 2002, p. 1380-1394.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
