Numerical solutions of the dissipative nonlinear Schrödinger equation with variable coefficient arises in elastic tube
K. Tay, W. Tiong, Y. Y. Choy, T. Chee
2018Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
tlooto Summary
Solving the dissipative nonlinear Schrödinger equation with variable coefficient using Crank-Nicolson finite-difference method for elastic tube applications.
Abstract
In this paper, we solved the dissipative nonlinear Schrödinger Equation (DNLSV) with variable coefficient by Crank-Nicolson (CN) implicit finite-difference method. The DNLSV equation arises in nonlinear wave modulation in an elastic tube with a symmetrical stenosis filled with viscous fluid. We then compared numerical solutions with its progressive wave solution. The CN scheme is consistent with the differential equation and is unconditionally stable.
Citation format
TAY, K., et al. Numerical solutions of the dissipative nonlinear schrödinger equation with variable coefficient arises in elastic tube. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 2018, 25: 53–61.