MATLAB: How to solve ODE in matlab

Question

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,

Answer 1

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