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Conservative schemes for the symmetric regularized long wave equations. (English) Zbl 1124.65080
The cold-electron plasma equations appropriate for the strongly magnetized non-relativistic electron beam yield the regularized long way equation (rlw) in one space dimension. The authors design conservative difference schemes for this equation which preserve the properties of the rlw. Existence of the finite difference solutions is proven and stability results are given. Numerical results show the accuracy and efficiency of the schemes.
MSC:
65M06Finite difference methods (IVP of PDE)
35L75Nonlinear hyperbolic PDE of higher (>2) order
65M12Stability and convergence of numerical methods (IVP of PDE)