Question

the number of boundary conditions required to solve two dimensional heat equation option are a) 3 b) 4 c) 2 d) 5​

Answer 1

Answer:

THREE

The general solution satisfies the Laplace equation (7) inside the rectangle, as well as the three homogeneous boundary conditions on three of its sides (left, right and bottom). ∇2 u = 0, 0 < x < a, 0 < y < b, u(x,0) = 0, u(x,b) = f2(x), 0 < x < a, u(0,y) = u(a,y)=0, 0 < y < b. f2(x) sin nπ a x dx.