How to solve ODE in matlab

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Ali Najem
Ali Najem 2020-5-22
评论： Ali Najem 2020-5-23
Hello everybody,
I hope you doing well
I have code of ODE and i used ode15s to solve it.
I want to use Euler method instead of ode15s how can i proceed it?
This part of code that I used:
[T,Y]=ode15s(@(t,y) Simplefile(t,y,u,x1,x2,yd), [0 2], [initValue], options)
Any suggestion?
Thanks,

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Ameer Hamza
Ameer Hamza 2020-5-22
You can download the zip file given in this answer: https://www.mathworks.com/matlabcentral/answers/98293-is-there-a-fixed-step-ordinary-differential-equation-ode-solver-in-matlab-8-0-r2012b#answer_107643 and study the code of ode1.m. It is the implementation of the Euler method provided in very early releases of MATLAB. It is no longer included in MATLAB, but it is still useful to understand the implementation of the Euler method.
Also see these FEX submissions:
https://www.mathworks.com/matlabcentral/fileexchange/31426-euler-method-based-1st-order-ode-solving
https://www.mathworks.com/matlabcentral/fileexchange/45664-euler-method
https://www.mathworks.com/matlabcentral/fileexchange/72522-euler-method

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