FINITE-DIFFERENCE METHOD FOR GENERALIZED ZAKHAROV EQUATIONS

被引:8
|
作者
CHANG, QS
GUO, BL
JIANG, H
机构
[1] INST APPL PHYS & COMPUTAT MATH,COMP PHYS LAB,BEIJING 100088,PEOPLES R CHINA
[2] UNIV WATERLOO,DEPT COMP SCI,WATERLOO,ON N2L 3G1,CANADA
关键词
DIFFERENCE SCHEME; ZAKHAROV EQUATION; CONVERGENCE;
D O I
10.2307/2153438
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A conservative difference scheme is presented for the initial-boundary value problem for generalized Zakharov equations. The scheme can be implicit or semiexplicit depending on the choice of a parameter. On the basis of a priori estimates and an inequality about norms, convergence of the difference solution is proved in order O(h(2)+tau(2)), which is better than previous results.
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页码:537 / &
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