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Euler method Subroutine, Euler portion provided

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N/A 2020년 4월 19일
답변: Ameer Hamza 2020년 4월 19일
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
Ameer Hamza 2020년 4월 19일
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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