Open AccessPenerapan Fungsi Green dari Persamaan Poisson pada Elektrostatika
Author(s) -
Fathul Khairi,
Malahayati
Publication year - 2021
Publication title -
quadratic
Language(s) - English
Resource type - Journals
eISSN - 2776-9003
pISSN - 2776-8201
DOI - 10.14421/quadratic.2021.011-08
Subject(s) - green's function for the three variable laplace equation , dirac delta function , green's function , poisson's equation , function (biology) , mathematics , poisson distribution , mathematical analysis , discrete poisson equation , dirac equation , boundary value problem , uniqueness theorem for poisson's equation , mathematical physics , laplace's equation , statistics , evolutionary biology , biology
The Dirac delta function is a function that mathematically does not meet the criteria as a function, this is because the function has an infinite value at a point. However, in physics the Dirac Delta function is an important construction, one of which is in constructing the Green function. This research constructs the Green function by utilizing the Dirac Delta function and Green identity. Furthermore, the construction is directed at the Green function of the Poisson's equation which is equipped with the Dirichlet boundary condition. After the form of the Green function solution from the Poisson's equation is obtained, the Green function is determined by means of the expansion of the eigen functions in the Poisson's equation. These results are used to analyze the application of the Poisson equation in electrostatic.