Laplace Equation is a partial differential equation applying to potential distribution for any system that has unique solution for given boundary conditions. The differential equation is named for French mathematician Pierre-Simon de Laplace (1749 to 1827), and applies to electrical, gravity and magnetic fields.
Reference Definition by Wikipedia: In mathematics, Laplace’s Equation is a second-order partial differential equation named after Pierre-Simon Laplace who first studied its properties. Laplace’s equation and Poisson’s equation are the simplest examples of elliptic partial differential equations. The general theory of solutions to Laplace’s equation is known as potential theory. The solutions of Laplace’s equation are the harmonic functions, which are important in many fields of science, notably the fields of electromagnetism, astronomy, and fluid dynamics, because they can be used to accurately describe the behaviour of electric, gravitational, and fluid potentials. In the study of heat conduction, the Laplace equation is the steady-state heat equation.
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