The Green’s function is a powerful tool of mathematics method is used in solving some linear non-homogenous PDEs, ODEs. So Green’s functions are derived by the specially development method of separation of variables, which uses the properties of Dirac’s function.
This method was considerable more efficient than the others well known classical methods. The series solution of differential equation yields an infinite series which often converges slowly. Thus it is difficult to obtain an insight into over-all behavior of the solution. The Green’s function approach would allow us to have an integral representation of the solution instead of an infinite series. Read More>>>>