MATLAB solving BVP using bvp4c, variable coefficient

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Taylor Nichols
Taylor Nichols 2019-3-5
回答： Torsten 2019-3-5
Say I have an bvp that involve the equation below
If I was to have enough boundary conditions to satisfy ODE, would it be possible to solve the equation simultaneously in order to get a solution for the equation?
Ideally would be a constant coefficient, but as seen with the solutions I am currently getting I'm wondering if the physics involving the currently considered constant coefficient equation describes the physics incorrectly. I would like to see how the now variable coefficient "" changes in order to get the to fit my boundary conditions.
Any information or examples would be greatly appreicated!

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回答（1 个）

Torsten
Torsten 2019-3-5
If you make the ansatz
f ( r ) = a0 + a1*r + a2*r^2 + ...+ an *r^n
you will need (n+1) additional boundary conditions to fix the coefficients ai.

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