Year: 1997
Journal of Computational Mathematics, Vol. 15 (1997), Iss. 3 : pp. 219–232
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1997-JCM-9201
Journal of Computational Mathematics, Vol. 15 (1997), Iss. 3 : pp. 219–232
Published online: 1997-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14