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MATLAB solving BVP using bvp4c, variable coefficient

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Taylor Nichols
Taylor Nichols 2019 年 3 月 5 日
回答済み: Torsten 2019 年 3 月 5 日
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!

回答 (1 件)

Torsten
Torsten 2019 年 3 月 5 日
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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