Question

Finite difference advantage and disadvantage ?

Answer 1

Explanation:

In my experience, the advantages and disadvantages of both can be summed up quite simply: the finite difference method is the quick and dirty method for solving simple differential equations and the finite element method is good for more complicated problems.

Finite difference (FD) methods are intuitive and easy to implement for simple problems. However, they quickly become unwieldy if you need to start adding any sort of complexity like moving boundaries or an unstructured grid. There are ways to make finite differences work, but hardly anybody uses them for modeling complex phenomena because it's just too hard to get them to work.