Euler method Subroutine, Euler portion provided
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le 19 Avr 2020
Réponse apportée : Ameer Hamza
le 19 Avr 2020
I have been provided the code below to solve an ODE using Euler's Method. I am unsure how to write the subroutine to implement this code to find a solution.
CODE:
function [X,Y]= euler(f,x_o,x_f,y_o,N)
if N<2
N=2;
end
h=(x_f-x_o)/N;
X=zeros(N+1,1);
M=max(size(y_o));
Y=zeros(N+1,M);
x=x_o; X(1)=x; y=y_o; Y(1,:)=y';
for i=1:N
k1=h*feval(f,x,y);
y=y+k1;
x=x+h;
X(i+1)=x;
Y(i+1,:)=y';
end
end
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Ameer Hamza
le 19 Avr 2020
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.
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