Green's Function And Its Application

ABSTRACT

Many Real 1fe problems are represented mathematically by both ordinary linear differential equations. Many of such representations are complicated. Hence the problems are difficult to solve. The Green's function is a fundamental solution to linear differential equation and is a building block that can be used to construct many useful solutions. The Green's friction is an operator, which is used to represent the solution of non-homogenous differential equation in the form of an integral! We study how it is constructed from a given boundary value problem and how it is used to solve the boundary value problems. We obtain the Green's function for the heat equation, and the wav equation in one-dimensional space.