Calculating Percent Difference at specific intervals

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Hudson Harrell
Hudson Harrell 2020-11-19
评论： Hudson Harrell 2020-11-19
I'm trying to calculate the percent difference between the Euler Method and the Actual solution at time t=[2, 3, 4, 5] and display them. Here is my code. The code originally calculates and plots the outputs of both methods at time t=[1: 0.1 :5], but I want to know the percent difference at specific points t=[2, 3, 4, 5]. Any suggestions would be appreciated.
t0=1;
tf=5;
x0=1;
f=@(x,t) t-1+(1/t)-((2*x)/t);
h=.1;
t=t0:h:tf;
n=length(t);
%% Actual Solution
x1=@(t) (1/4)*t.^2-(1/3)*t+(1/2)+(1/12*t.^2);
plot(t,x1(t),'r*')
%% Euler Method
x(1)=(1/2);
for i=1:n-1
x(i+1)=x(i)+h*f(x(i),t(i));
B=x(i+1);
end
hold on;
plot(t,x,'LineWidth',3);

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采纳的回答

David Hill
David Hill 2020-11-19
m=zeros(1,5);
for i=2:5
a= find(t==i);
m(i)=abs(x(a)-x1(a))/mean([x(a),x1(a)]);
end

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