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 Science, Technology and Human Development > Department of Science and Mathematics
ID Code:6511
Deposited By:Normajihan Abd. Rahman
Deposited On:29 Mar 2015 16:37
Last Modified:29 Mar 2015 16:37

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