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Finite difference method for generalized Zakharov equations. (English) Zbl 0827.65138
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 +τ 2 ) where h and τ are respectively distance and time steps, thereby improving on previous methods. A discussion is also given of the convergence of the process.

MSC:
65Z05Applications of numerical analysis to physics
65M06Finite difference methods (IVP of PDE)
65M12Stability and convergence of numerical methods (IVP of PDE)
35Q72Other PDE from mechanics (MSC2000)
82D10Plasmas (statistical mechanics)