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
2 comentarios
Walter Roberson
el 31 de Ag. de 2023
Do you have access to the Symbolic Toolbox? If you do then I suggest that you read the documentation for odeFunction
Respuestas (1)
Sam Chak
el 31 de Ag. de 2023
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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