Finite difference method

The finite difference method is a way of solving mathematical problems by breaking them down into a series of smaller steps. Think of it like a really long ladder: instead of trying to climb it all at once, you can take a few steps at a time and eventually you'll reach the top.

In order to do this, you first need to create a grid (also called a mesh) of points, like boxes in a checkerboard. You can then assign values to each point in the grid, like numbers on the checkerboard. Then you use a mathematical equation to calculate the values of the points between those you already have, changing them until they all match up.

It may sound complicated, but the finite difference method is actually a very simple and efficient way to solve problems. It can be used to solve problems involving equations, wave equations, and more!