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- What is Green function in PDE?
- What is Green function?
- What is Green's function in geophysics?
- How do you determine Green's function?
What is Green function in PDE?
Generally speaking, a Green's function is an integral kernel that can be used to solve differential equations from a large number of families including simpler examples such as ordinary differential equations with initial or boundary value conditions, as well as more difficult examples such as inhomogeneous partial ...
What is Green function?
The primary use of Green's functions in mathematics is to solve non-homogeneous boundary value problems. In modern theoretical physics, Green's functions are also usually used as propagators in Feynman diagrams; the term Green's function is often further used for any correlation function.
What is Green's function in geophysics?
The Green's function (GF) method, which makes use of GFs, is an important and elegant tool for solving a given boundary-value problem for the differential equation from a real engineering or physical field.
How do you determine Green's function?
These equations can be written in the more compact forms L[y]=f(x)L[G]=δ(x−ξ). Using these equations, we can determine the solution, y(x), in terms of the Green's function. Multiplying the first equation by G(x,ξ), the second equation by y(x), and then subtracting, we have GL[y]−yL[G]=f(x)G(x,ξ)−δ(x−ξ)y(x).
