The split step Fourier method is a numerical technique used to solve partial differential equations. It involves splitting the differential equation into simpler parts and solving them separately using the Fourier transform.
The split step Fourier method works by breaking down the initial problem into smaller, easier-to-solve problems. It uses the Fourier transform to solve these smaller problems separately, and then combines the solutions to obtain the final solution.
The initial rectangular pulse refers to the initial condition of the partial differential equation being solved using the split step Fourier method. It is a rectangular-shaped function that represents the initial state of the system being studied.
Some advantages of using the split step Fourier method include its efficiency in solving partial differential equations, its ability to handle a wide range of problems, and its flexibility in handling different initial conditions.
The split step Fourier method can be used to model physical phenomena by solving partial differential equations that describe the behavior of a physical system. It can be applied to various fields such as fluid dynamics, quantum mechanics, and electromagnetism to simulate and predict the behavior of these systems.