Check the file: Questions.pdf

**Subject Mathematics Numerical Analysis**

Check the file: Questions.pdf

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function Solution()

clear all

clc

close all

disp('----------Question 3-------------')

%syms x

%Iexact=double(int(exp(x^2),x,0,1));

n=[2 4 6 10];

f=@(t)exp(t.^2);

for i=1:3

ErrorSimpson(i)=Simpson(f,0,1,n(i+1))-Simpson(f,0,1,n(i));

ErrorTrapezoid(i)=Trapezoid(f,0,1,n(i+1))-Trapezoid(f,0,1,n(i));

end

ErrorSimpson=ErrorSimpson

ErrorTrapezoid=ErrorTrapezoid

%determine the smallest i such that abs(ErrorTrapezoid(i))>10^(-2)

it=3; err=1;%initialize

while abs(err)>10^(-2)

err=Trapezoid(f,0,1,it)-Trapezoid(f,0,1,it-1);

it=it+1;

end...

clear all

clc

close all

disp('----------Question 3-------------')

%syms x

%Iexact=double(int(exp(x^2),x,0,1));

n=[2 4 6 10];

f=@(t)exp(t.^2);

for i=1:3

ErrorSimpson(i)=Simpson(f,0,1,n(i+1))-Simpson(f,0,1,n(i));

ErrorTrapezoid(i)=Trapezoid(f,0,1,n(i+1))-Trapezoid(f,0,1,n(i));

end

ErrorSimpson=ErrorSimpson

ErrorTrapezoid=ErrorTrapezoid

%determine the smallest i such that abs(ErrorTrapezoid(i))>10^(-2)

it=3; err=1;%initialize

while abs(err)>10^(-2)

err=Trapezoid(f,0,1,it)-Trapezoid(f,0,1,it-1);

it=it+1;

end...

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