schroedinger_nonlinear_pde_test

schroedinger_nonlinear_pde_test, a MATLAB code which calls schroedinger_nonlinear_pde(), which solves the complex partial differential equation (PDE) known as Schroedinger's nonlinear equation: dudt = i uxx + i gamma * |u|^2 u, in one spatial dimension, with Neumann boundary conditions.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Related Data and codes:

schroedinger_nonlinear_pde, a MATLAB code which solves the complex partial differential equation (PDE) known as Schroedinger's nonlinear equation: dudt = i uxx + i gamma * |u|^2 u, in one spatial dimension, with Neumann boundary conditions.

Source Code:

• schroedinger_nonlinear_nonlinear_pde_test.m, calls all the tests.
• schroedinger_nonlinear_nonlinear_pde_test.sh, runs all the tests.
• schroedinger_nonlinear_nonlinear_pde_test.txt, the output file.

• schroedinger_nonlinear_midpoint.m, solves the nonlinear Schroedinger equation using midpoint.
• schroedinger_nonlinear_ode45.m, solves the nonlinear Schroedinger equation using ode45().

• midpoint.m, an implicit midpoint ODE solver.

• schroedinger_nonlinear_midpoint_initial.png, the solution at the initial time.
• schroedinger_nonlinear_midpoint_midway.png, the solution at the midway time.
• schroedinger_nonlinear_midpoint_final.png, the solution at the final time.

• schroedinger_nonlinear_ode45_initial.png, the solution at the initial time.
• schroedinger_nonlinear_ode45_midway.png, the solution at the midway time.
• schroedinger_nonlinear_ode45_final.png, the solution at the final time.