Matlab code for 2nd order differential equations
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(d^2 u(x))/〖dx〗^2 =(γu(x))/(1+αu(x))
(d^2 v(x))/〖dx〗^2 =y〖∆v〗^* (dv(x))/dx-2/ε (γu(x))/((1+αu(x)))
at x=0,u=1,v=0
at x=1,du/dx=0,dv/dx=0
ε=1,α=0.001,y=20,〖∆v〗^*=0.1,γ=1,2.5,5,10,100
How to write matlab code for 2nd order differentials and plots between u vs x, v vs x
댓글 수: 2
Walter Roberson
2023년 8월 31일
Do you have access to the Symbolic Toolbox? If you do then I suggest that you read the documentation for odeFunction
답변 (1개)
Sam Chak
2023년 8월 31일
Which textbook are you referring to for this problem? This appears to be a boundary value problem.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1469261/image.png)
The solution of interest is to be determined by both the boundary conditions
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1469266/image.png)
and the gamma parameter γ.
You can find some examples in this bvp4c() documentation:
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