TY - JOUR
T1 - Convergence of a Conservative Difference Scheme for the Zakharov Equations in Two Dimensions
JO - Journal of Computational Mathematics
VL - 3
SP - 219
EP - 232
PY - 1997
DA - 1997/06
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9201.html
KW - 
AB - <p style="text-align: justify;">A conservative difference scheme is presented for the initial-boundary-value problem of a generalized Zakharov equations. On the basis of a prior estimates in $L_2$ norm, the convergence of the difference solution is proved in order $O(h^2+r^2)$. In the proof, a new skill is used to deal with the term of difference quotient $(e_{j,k}^n)t$. This is necessary, since there is no estimate of $E(x,y,t)$ in $L_\infty$ norm.</p>