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

Choy, Yaan Yee and Tan, Wooi Nee and Tay, Kim Gaik and Ong, Chee Tiong (2014) Crank-Nicolson implicit method for the nonlinear Schrodinger equation with variable coefficient. AIP Conference Proceedings, 1605. pp. 76-82. ISSN 1551-7616

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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.

Item Type: Article
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Faculty of Engineering (FOE)
Depositing User: Ms Nurul Iqtiani Ahmad
Date Deposited: 25 Aug 2014 09:23
Last Modified: 25 Aug 2014 09:23
URI: http://shdl.mmu.edu.my/id/eprint/5699

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