Green's Functions Associated with One and Two Dimensional Problems

Sana Munir, Muhammad Nawaz Naeem

Abstract: In mathematics a green-s function is type of function used to solve inhomogeneous differential equations subject to specific initial conditions or boundary conditions. Green-s functions provide an important tool when we study the boundary value problem. They also have intrinsic value for a mathematician. Also green-s functions in general are distribution, not necessarily proper function. Green functions are also useful for solving wave equation, diffusion equation and in quantum mechanics, where the green-s function of the Hamiltonian is a key concept, with important links to the concept of density of states.

Keywords: Green-s functions, inhomogeneous differential equations, boundary value problem

How to Cite?: Sana Munir, Muhammad Nawaz Naeem, "Green's Functions Associated with One and Two Dimensional Problems", Volume 4 Issue 6, June 2015, International Journal of Science and Research (IJSR), Pages: 1157-1160, https://www.ijsr.net/getabstract.php?paperid=SUB154000, DOI: https://dx.doi.org/10.21275/SUB154000