Numerical solutions of the symmetric regularized-long-wave equation by trigonometric integrator pseudospectral discretization
@article{Dong2011NumericalSO, title={Numerical solutions of the symmetric regularized-long-wave equation by trigonometric integrator pseudospectral discretization}, author={Xuanchun Dong}, journal={arXiv: Mathematical Physics}, year={2011} }
The computation of the symmetric regularized-long-wave (SRLW) equation, which describes weekly nonlinear ion acoustic and space-charge waves, is dealt with in this paper. The numerical scheme to be proposed applies the Fourier pseudospectral discretization to spatial derivatives in time space, with time advance accomplished in phase space by a integrator based on trigonometric polynomials which is fully explicit. Extensive numerical tests are reported, which are geared towards understanding the…
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