Backward Difference Table in MATLAB | M-file

MATLAB Code:

% taking all the necessary inputs %

x1=input('Enter starting value of x:  ');

h= input('Intervel:  ');

x2=input('Ending value of x:  ');

x=x1:h:x2;

[c,n]=size(x); % counting the number of elements using SIZE command %

for i=1:n

    y(i,1)=input('Enter corresponding values of y:  ');

end

for j=2:n

    for i=j:n

        y(i,j)=y(i,j-1)-y(i-1,j-1); % formula to calculate backward difference

    end

end 

% print backward difference table

fprintf('\n******backward difference formula table****');

fprintf('\n\tx\t    y\t');

for i=1:n

    fprintf('\n   %.f',x(i));

    for j=1:i

        fprintf('\t   %.4f',y(i,j));

    end

end

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