Exercise 3 is used towards the question. Please in MATLAB coding.
a)
clc
clear all
close all
format short
f=@(t,y) t;
[T,Y]=eulerSystem(f,[0,1],1,0.1);
T=T(:);
Y=Y(:);
table(T,Y)
function [t,y]=eulerSystem(Func,Tspan,Y0,h)
t0=Tspan(1);
tf=Tspan(2);
N=(tf-t0)/h;
y=zeros(length(Y0),N+1);
y(:,1)=Y0;
t=t0:h:tf;
for i=1:N
y(:,i+1)=y(:,i)+h*Func(t(i),y(:,i));
end
end
b)
clc
clear all
close all
format short
f=@(t,y) t^2*y;
[T,Y]=eulerSystem(f,[0,1],1,0.1);
T=T(:);
Y=Y(:);
table(T,Y)
function [t,y]=eulerSystem(Func,Tspan,Y0,h)
t0=Tspan(1);
tf=Tspan(2);
N=(tf-t0)/h;
y=zeros(length(Y0),N+1);
y(:,1)=Y0;
t=t0:h:tf;
for i=1:N
y(:,i+1)=y(:,i)+h*Func(t(i),y(:,i));
end
end
Exercise 3 is used towards the question. Please in MATLAB coding. 1. Apply Euler's Method with...
di 2 y(0) = 1 Matlab. Apply Eulers method with step size h = 0.1 on [0, 1] to the initial value problem listed above, in #3. a Print a table of the t values, Euler approximations, and error at each step. Deduce the order of convergence of Euler's method in this case.
a use Euler's method with each of the following step sizes to estimate the value of y 0.4 where y is the solution of the initial value problem y -y, y 0 3 カー0.4 0.4) (i) y10.4) (in) h= 0.1 b we know that the exact solution of the initial value problem n part a s yー3e ra , as accurately as you can the graph of y e r 4 together with the Euler approximations using the step sizes...
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