Numerical studies on nonlinear Schrödinger equations by spectral collocation method with preconditioning |
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Authors: | M Javidi A Golbabai |
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Institution: | Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran |
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Abstract: | In this study, 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. |
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Keywords: | Spectral collocation method Nonlinear Schrö dinger equation Preconditioning |
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