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Differential Equations, Lecture 7.6: Laplace's equation
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Lecture 7.6: Laplace's equation.
In this lecture, we will see how to solve the 2-dimensional Laplace's equation in a square region, which represents the steady-state solution to the heat equation. We will first consider the case when only one of the boundary conditions is non-zero. From here, we can use super-position to solve Laplace's equation when multiple boundary conditions are non-zero.
In this lecture, we will see how to solve the 2-dimensional Laplace's equation in a square region, which represents the steady-state solution to the heat equation. We will first consider the case when only one of the boundary conditions is non-zero. From here, we can use super-position to solve Laplace's equation when multiple boundary conditions are non-zero.
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