Green’s function is a mathematical tool used to solve inhomogeneous partial differential equations (PDEs) and boundary value problems. Green’s functions are named after the British mathematician George Green, who first introduced the concept in the 19th century.
Green’s function represents the response of a linear system to a point source or impulse. It is used to express the solution of an inhomogeneous PDE in terms of the convolution of the Green’s function with the forcing term, which simplifies the problem and makes it easier to solve.
Green’s functions have applications in various fields, including physics, engineering, and applied mathematics. They are particularly useful in the study of harmonic functions, heat conduction, wave propagation, and electromagnetism.