A boundary condition is a set of constraints that are applied to the boundaries of a differential equation problem to ensure a well-posed solution. These conditions are essential in finite difference methods for parabolic partial differential equations (PDEs), as they help define how the solution behaves at the edges of the domain being analyzed. They play a critical role in determining the uniqueness and stability of the solution, guiding how numerical methods are applied and influencing the overall accuracy of the results.
congrats on reading the definition of Boundary Condition. now let's actually learn it.