Crank-Nicolson Implicit Method For The Nonlinear Schrodinger Equation With Variable Coefficient.

Autor: Choy, Yaan Yee, Tan, Wooi Nee, Tay, Kim Gaik, Chee Tiong Ong
Předmět:
Zdroj: AIP Conference Proceedings; 2014, Vol. 1605, p76-82, 7p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index