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Homework Statement:
 "Use a computer" to solve the third order differential equation by modifying the boundary conditions (see picture of problem).
Relevant Equations:

f*(d^2f/dn^2) + 2*(d^3f/dn^3) = 0
f = 0 @ n = 0
f' = 0 @ n = 0
f' = 1 @ n = inf or f" = Constant @ n = 0 (see note)
Hello,
This problem comes from boundary layer theory in fluid mechanics, but we are studying it in heat transfer.
note: Since we are solving this numerically is has been suggested to replace the third boundary condition with f" = constant and then guess a constant. Then we are to check that using that constant f' converges at 1.
They even tell us the value of the constant (0.3321), however I have no clue how to check this answer. If f(n) is an undetermined function how can I solve this numerically?
If there is any information that would help let me know I will do my best to provide. I realize I haven't done much of an attempt at a solution, but I really don't know what to take for a first step! Any tips or suggestions appreciated.
Rudy
This problem comes from boundary layer theory in fluid mechanics, but we are studying it in heat transfer.
note: Since we are solving this numerically is has been suggested to replace the third boundary condition with f" = constant and then guess a constant. Then we are to check that using that constant f' converges at 1.
They even tell us the value of the constant (0.3321), however I have no clue how to check this answer. If f(n) is an undetermined function how can I solve this numerically?
If there is any information that would help let me know I will do my best to provide. I realize I haven't done much of an attempt at a solution, but I really don't know what to take for a first step! Any tips or suggestions appreciated.
Rudy
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