SPLIT STEP METHOD VARIATION FOR NONLINEAR SCHRODINGER EQUATION

• Main Author: Darmawan, Luis
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/77563
• Institution: Institut Teknologi Bandung

This research discusses the numerical methods used to solve nonlinear Schrödinger equations, that is the split-step finite difference method. The focus of this research is on the variation of the numerical approach for the linear and nonlinear term of nonlinear Schrödinger equation. The linear part is discretized using the finite difference method. In this study, two finite difference methods will be used: the Crank-Nicholson method and the Backward Time Centered Space (BTCS) method. The nonlinear part is approximated using first-order and second-order approximation for analytic solutions, as well as a numerical approximation, namely the 4th-order Runge-Kutta method. Simulations are performed for each variation. Solution validation is carried out by comparing the numerical solutions with its analytic solution. Among the various variations examined, the best result is obtained with the BTCS-Analytic second-order method variation.