Find the solution of the Poisson equation 2u = sin(2x) sin(2y) in square domain [0, ][0, ]

Find the solution of the Poisson equation ∇2u = sin(2x) sin(2y) in square domain [0, π]×[0, π] using the limit condition u = 0 on ∂D.

Hint: You can first solve the homogeneous equation (Laplace) with separation of variables and the result equals it with the particular one. The problem boils down to finding the value of a single constant.

Answer rating: 100% (QA)

To solve the Poisson equation 2u sin2xsin2y in the square domain 0 0 with the limit condition u 0 on D we can follow the hint and solve the homogeneou... View the full answer