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## Homework Statement

Hi guys. I am actually not looking for solutions. I am now working on a numerator integrator for the Blasius Equation:

y''' +y''*y =0

where the boundary condition is y(0)=y'(0)=y''(0)-1=0

I have got the numerical integrator up and running, and obtain a solution which tends to a linear function as x tends to infinity.

However, I was told by my lecturer that I should test my integrator on another problem similar to Blasius, and we must know the exact analytic solution to that question to test how the error behaves with my integrator.

So may I know if you know any good model problem for this purpose?

I have found a few but non of them are really very suitable.

f'''+(1-f'^2)=0

or

y'''+2y''y-3y'^2=0

Don't think these are good. Any suggestion?

Really appreciate it!