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Numerical studies on nonlinear Schrödinger equations by spectral collocation method with preconditioning. (English) Zbl 1117.65141
Summary: We use the spectral collocation method with preconditioning to solve various nonlinear Schrödinger equations. To reduce round-off error in spectral collocation method we use preconditioning. We study the numerical accuracy of the method. The numerical results obtained by this way have been compared with the exact solution to show the efficiency of the method.

MSC:
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q55 NLS equations (nonlinear Schrödinger equations)
65F35 Numerical computation of matrix norms, conditioning, scaling
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