Euler's Method for second order ODE

Question

Mohamed T. Adam 2022-1-16

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https://ww2.mathworks.cn/matlabcentral/answers/1629910-euler-s-method-for-second-order-ode

回答： Abhiroop Rastogi 2022-2-15

Coursework_2_2.m

Hello, i am trying to solve y''+(1/2)*y'+5y=0 with initial values of y'(0)=2 and y(0) = 0 using Euler's method. This is my code, can you please tell me how to fix it?

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Torsten 2022-1-16

编辑：Torsten 2022-1-16

Implement your ODE y''+1/2*y'+5y = 0 in function "func", reduce h from 0.5 to 0.05, and the code will run fine.

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Answer 1

Abhiroop Rastogi 2022-2-15

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1629910-euler-s-method-for-second-order-ode#answer_896370

Modified.m

Hi Mohamed T. Adam,

The implementation of the differential equation, in the method that you have applied in your code, is not accurate. The way your equation would be represented is as follows:

You can find the the above implementation in the file attatched, named "Modified.m", for the modified code. The final output for the above equation will look as given in the figure below.