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Research Paper | Mathematics | Pakistan | Volume 4 Issue 6, June 2015 | Rating: 6.1 / 10

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

Edition: Volume 4 Issue 6, June 2015,

Pages: 1157 - 1160