Crank-Nicolson implicit method for the nonlinear Schrodinger equation with variable coefficient

In the present work, the Crank-Nicolson implicit scheme for the numerical solution of nonlinear Schrodinger equation with variable coefficient is introduced. The Crank-Nicolson scheme is second order accurate in time and space directions. The stability analysis for the Crank-Nicolson method is inves...

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Bibliographic Details
Main Authors: Choy Yaan Yee, Tan Wooi Nee, Tay Kim Gaik, Ong, Chee Tiong
Format: Conference Proceeding
Language:English
Subjects:
Coefficients
Implicit methods
Mathematical analysis
Nonlinear equations
Ocean currents
Schrodinger equation
Stability analysis
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Summary:In the present work, the Crank-Nicolson implicit scheme for the numerical solution of nonlinear Schrodinger equation with variable coefficient is introduced. The Crank-Nicolson scheme is second order accurate in time and space directions. The stability analysis for the Crank-Nicolson method is investigated and this method is shown to be unconditionally stable. The numerical results obtained by the Crank-Nicolson method are presented to confirm the analytical results for the progressive wave solution of nonlinear Schrodinger equation with variable coefficient.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4887568