Picard iteration

Picard iteration is a method used to find solutions to certain mathematical problems called differential equations. It works by starting with an initial guess of the solution and repeatedly refining it. Each iteration uses the previous approximation to create a better one, gradually converging toward the true solution. Think of it like repeatedly adjusting a recipe based on tasting results until the desired flavor is achieved. This process helps mathematicians and scientists understand how systems behave when changing over time, especially when direct solutions are difficult to find initially.