Let 12 := {(x,y): 0 < x <a, 0 <y<b}. Interpret the boundary conditions Uz(0, y,t)...

Question

Question

Let 12 := {(x,y): 0 < x <a, 0 <y<b}. Interpret the boundary conditions Uz(0, y,t) = 0, u(a, y, t) = 0, wy(x, 0,t), u(x, b,t)

Answer 1

Answer #1

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Two conditions u(a,y,t) =0 and u(x,b,t)=0 repesent fixed conditons...

It means at end x=a and y=b , wave is fixed ... This denote mirror wave at this point

Another two conditions ux(0,y,t)=0 and uy(x,0,t) =0 represent flux is 0 ..

At end x=0, and y=0 .. reflect wave appears

Answer 2

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