See Question.pdf

**Subject Mathematics Differential Equations**

See Question.pdf

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%% Problem 3

%% Part A

for tau=1:3

N=100;

h=tau/N;

initial_data=ones(1,N);

alpha=0;

x=initial_data;

for k=N+1:2000

X=x(k-N);

if X > 0

P=-1;

else

P=1;

end

x(k)=x(k-1)+h*P;

end

t=h*[1:length(x)]-tau;

figure

plot(t,x)

xlabel('t')...

%% Part A

for tau=1:3

N=100;

h=tau/N;

initial_data=ones(1,N);

alpha=0;

x=initial_data;

for k=N+1:2000

X=x(k-N);

if X > 0

P=-1;

else

P=1;

end

x(k)=x(k-1)+h*P;

end

t=h*[1:length(x)]-tau;

figure

plot(t,x)

xlabel('t')...

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