Dirichlet boundary condition

Dirichlet boundary condition is like a rule that tells us how to behave on the edge of a playground. Imagine you are playing soccer on a field, but you are not allowed to go past the fence that surrounds the field.

The fence is the boundary, and the rule is called the Dirichlet boundary condition. It tells us that the value of a function on the boundary is fixed and cannot change.

In simpler terms, it means that we already know what the function value is on the edge of the playground, and it can’t change no matter what we do inside the field.

Similarly, in math, the Dirichlet boundary condition applies to functions defined on a domain, where the value of the function at the boundary is fixed. This information is useful when solving differential equations or partial differential equations, as it helps find the solution that satisfies the boundary conditions.

So, the next time you play soccer on a field, remember that the fence is like the Dirichlet boundary condition, telling you not to go too far and to play within the designated field.