Title: 25.4 Solution Using Fourier Series
Course: HELM Workbooks 2023-2024 > Section: HELM 25: Partial Differential Equations

In this Section we continue to use the separation of variables method for solving PDEs but you will find that, to be able to fit certain boundary conditions, Fourier series methods have to be used leading to the final solution being in the (rather complicated) form of an infinite series. The techniques will be illustrated using the two-dimensional Laplace equation but similar situations often arise in connection with other important PDEs.