So far, we used analytic techniques to find Green’s functions. Despite the success that we enjoyed, many cases arise which we cannot solve analytically. The purpose of this chapter is to present techniques to compute Green’s functions numerically.
Numerical methods for solving differential equations have been extensively developed. What is the challenge in using these techniques to numerically compute a Green’s function? It is the presence of a forcing that contains delta functions. Earlier we used transform methods because they handle these delta functions so well. For this reason, we would like to continue to use ...