Penerapan Fungsi Green dari Persamaan Poisson pada Elektrostatika

Fathul Khairi (UIN Sunan Kalijaga Yogyakarta)
Malahayati (UIN Sunan Kalijaga Yogyakarta)

Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education
Vol. 1 No. 1 (2021): April 2021

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.