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Green's Functions Associated with One and Two Dimensional Problems

Journal: International Journal of Science and Research (IJSR) (Vol.4, No. 6)

Publication Date:

Authors : ; ;

Page : 1157-1160

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

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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.

Last modified: 2021-06-30 21:49:27