Citation

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

Text Crank-Nicolson implicit method for the nonlinear Schrodinger equation with variable coefficient.pdf Restricted to Repository staff only Download (719kB)

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
URII:	http://shdl.mmu.edu.my/id/eprint/5699

Downloads

Edit (login required)