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

Yaan Yee Choy,Kim Gaik Tay,Wooi Nee Tan,Chee Tiong Ong

doi:10.1063/1.4887568

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

Yaan Yee Choy, Kim Gaik Tay + Show 2 more

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https://doi.org/10.1063/1.4887568

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Publication Date: Jan 1, 2014

Citations: 10

Affiliation: Tun Hussein Onn University of Malaysia, Multimedia University, University of Technology Malaysia

#Solution Of Nonlinear Schrodinger Equation #Variable Coefficient + Show 8 more

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Abstract

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.

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