Green’s Functions and Boundary-Value Problems

AbstractBoundary-value problems associated with either ordinary or partial differential equations arise most frequently in mathematics, mathematical physics and engineering science. The linear superposition principle is one of the most elegant and effective methods to represent solutions of boundary-value problems in terms of an auxiliary function known as Green’s function. Such a function was first introduced by George Green as early as 1828. Subsequently, the method of Green’s functions became a very useful analytical method in mathematics and in many of the applied sciences.