Finite difference methods for wave equations
hplgit.github.io › fdm-book › docMany types of wave motion can be described by the equation \( u_{tt}= abla\cdot (c^2 abla u) + f \), which we will solve in the forthcoming text by finite difference methods. Simulation of waves on a string. We begin our study of wave equations by simulating one-dimensional waves on a string, say on a guitar or violin.