an:00651889
Zbl 0807.76050
Chang, Qianshun; Jiang, Hong
A conservative difference scheme for the Zakharov equations
EN
J. Comput. Phys. 113, No. 2, 309-319 (1994).
00021056
1994
j
76M20 76X05
Langmuir waves; semi-explicit scheme; periodic initial-value problem; second-order accuracy; a priori estimates; convergence; energy norm
Summary: A new conservative difference scheme is presented for the periodic initial-value problem of Zakharov equations. The scheme can be implicit or semi-explicit, depending on the choice of a parameter. The discretization of the initial condition is of second-order accuracy, which is consistent with the accuracy of the scheme. On the basis of a priori estimates and an inequality about norms, convergence of the difference solutions is proved in the energy norm.