Journal of Undergraduate Research
Keywords
Laplace's equation, personal computer, electrostatics
College
Physical and Mathematical Sciences
Department
Mathematics
Abstract
Laplace’s equation is a differential equations that describes many physical properties in steady state systems. It can be used to describe heat distributions, displacements in elastic media, or electrostatic fields. My interest is in solving an electrostatics problem where the domain—the area in which the equation has physical meaning—is irregular enough that the only way to solve the problem is to use some sort of numerical approximation.
Recommended Citation
Higley, Michael and Bates, Dr. Peter
(2014)
"Solving Laplace’s Equation on a Personal Computer,"
Journal of Undergraduate Research: Vol. 2014:
Iss.
1, Article 1213.
Available at:
https://scholarsarchive.byu.edu/jur/vol2014/iss1/1213