MATLAB solving BVP using bvp4c, variable coefficient
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Say I have an bvp that involve the equation below
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/206847/image.png)
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?
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/206848/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/206849/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/206850/image.png)
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.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/206851/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/206852/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/206853/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/206854/image.png)
Any information or examples would be greatly appreicated!
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回答(1 个)
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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