Solving and plotting solution of 3rd order ODE using ODE45

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Ryan Rhoades 2021-12-5

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1603605-solving-and-plotting-solution-of-3rd-order-ode-using-ode45

回答： Star Strider 2021-12-5

I am trying to plot y as a function of x where xspan is [0 1] for the equation below. I prefer using ode45 but cannot get a plot to look as it should.

(eps*y''') - (2*y') = 4 w/ initial conditions y(0) = 0, y'(0) = 0, and y(1) = 4

Please help write code to set up and run ode45 to get a solution y(x) from x=0 to x=1.

Thanks!!

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Answer 1

Star Strider 2021-12-5

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1603605-solving-and-plotting-solution-of-3rd-order-ode-using-ode45#answer_848080

If the Symbollic Math Toolbox is available, use the odeToVectorField function to create the appropriate array, then use matlabFunction to transform it into an anonymous function that ode45 and the rest can use.

It may take a bit of experimenting to get it to work correctly (hint: the Vars argument is quite helpful here) however it should be straightforward.

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