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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 (2013) Crank-Nicolson implicit method for the nonlinear Schrodinger Equation with variable coefficient. In: Proceedings of the 21st National Symposium on Mathematical Sciences (SKSM21), 6-8 November 2013, Penang, Malaysia.

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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: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Crank-Nicolson implicit method; nonlinear Schrodinger equation with variable coefficient; stability; maximum absolute error
Subjects: Q Science > QA Mathematics > QA297 Numerical analysis. Analysis
Divisions: Faculty of Applied Science and Technology > Department of Science and Mathematics
Depositing User: Normajihan Abd. Rahman
Date Deposited: 29 Mar 2015 08:37
Last Modified: 29 Mar 2015 08:37
URI: http://eprints.uthm.edu.my/id/eprint/6511
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