SI Applied Mathematics
Description, Abstract, or Artist's Statement
This presentation deals with how to solve Poisson's Equation for a two dimensional plate. The numbers can be represented as heat, charge density, and gravitational force. This is a generalization of Laplace's Equation, which are steady state problems. In this problem, it is broken up into two simpler problems. For the first part, there are two ways of solving it since it is two dimensional. This presentation covers both ways of solving it using separation of variables, orthogonality, and partial differential equations. In addition, it shows how to solve the second part and finalize Poisson's Equation.
Augustana Digital Commons Citation
Braun, Ehren and Sward, Andrew P.. "Poisson's Equation" (2019). Mathematics: Student Scholarship & Creative Works.