Unformatted text preview: functions. (b) Now suppose that h ( x ) is also nonzero. Outline how you would solve the problem now (you do not need to solve it again). (c) Now suppose that the boundary conditions are now: w (0 ,y ) = 0 ∂w ∂x ( a,y ) = 0 w ( x, 0) = 0 w ( x,b ) = k ( x ) How will the solution differ from your solution to part a ? Solve it if you need to! 3. Boundary Conditions What are periodic boundary conditions? For what kind of domain do you use them, and why? Written by Anil Damle and Anna Lieb 1 revised August 2010...
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 Fall '08
 ABLOWITZ
 Laplace, Eigenvalue, eigenvector and eigenspace, Eigenfunction, 0 W, Boundary conditions, Anil Damle

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