"Green's Function" Associated with One- and Two-Dimensional Problems / Najlacnejšie knihy

Kód: 09299497

"Green's Function" Associated with One- and Two-Dimensional Problems

Autor Sana Munir

Essay from the year 2015 in the subject Mathematics - General, Basics, , language: English, abstract: In mathematics a green's function is type of function used to solve inhomogeneous differential equations subject to specific ini ... celý popis

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Essay from the year 2015 in the subject Mathematics - General, Basics, , language: English, 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.§In this project construction of green's function in one and two dimension has shown. There are more then one way of constructing greens' function (if it exist) but the result is always same. Due to this we can say that green's function for a given linear system is unique.

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Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics

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