an:00788612
Zbl 0827.65138
Chang, Qianshun; Guo, Boling; Jiang, Hong
Finite difference method for generalized Zakharov equations
EN
Math. Comput. 64, No. 210, 537-553, S7-S11 (1995).
00027712
1995
j
65Z05 65M06 65M12 35Q72 82D10
generalized Zakharov equations; Langmuir waves in plasmas; conservative difference scheme; convergence
The authors consider generalized Zakharov equations describing Langmuir waves in plasmas. They develop a conservative difference scheme for the numerical solution of the equations, and point out the invariants associated with the scheme. They show that the truncation error for the scheme is \(O(h^2 + \tau^2)\) where \(h\) and \(\tau\) are respectively distance and time steps, thereby improving on previous methods. A discussion is also given of the convergence of the process.
Ll.G.Chambers (Bangor)