Meshfree methods

Meshfree methods are a way to solve complicated problems using pictures and shapes. Instead of dividing the problem into tiny pieces like a puzzle with a grid, we use shapes like circles or squares that overlap each other. These shapes can move around and change size, so they are very flexible and can fit irregular and complex shapes.

Think of them like a group of friends holding hands in a circle. They can move around and change their position, but they stay close to each other. In math terms, we call these friends "nodes" and the lines between them "links" or "edge."

With meshfree methods, we don't have to worry about fitting every single piece of the puzzle into the grid. Instead, we can focus on the important parts by using the nodes and edges like a spiderweb. This helps us to solve difficult problems, like how heat and fluid move, with less effort and more accuracy.

In summary, meshfree methods are a flexible way of solving problems by using shapes to create a network of nodes and edges like a spiderweb. This helps us to solve complicated problems without having to fit every single piece of the puzzle into a grid.