Numerical studies on nonlinear Schrodinger equations by spectral collocation method with preconditioning

摘要

In this study, we use the spectral collocation method with preconditioning to solve various nonlinear Schrodinger 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. (c) 2006 Elsevier Inc. All rights reserved.