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This is a code i am trying to write for cubic spline interpolation between 4 points...I want to eventually form and plot the three cubic polynomials, but I am getting the error of ' Assignment between unlike types is not allowed' in line 30 i.e when I am defining S(k) in the last for loop. What is going wrong? Would somebody comment? A, B, C are arrays of the coefficients for the 3 polynomials.

syms x X Y

X = [0 1 2 3]

Y = [0 0.5 2 1.5]

n = length(X)

A = sym('A', [1 n]);

B = sym('B', [1 n-1]);

C = sym('C', [1 n-1]);

H = [];

for i = 1:n-1

H(i) = X(i+1) - X(i);

end

for k = 1:n-2

eqns(k) = H(k)*A(k) + 2*(H(k)+H(k+1))*A(k+1) + H(k+1)*A(k+2) == (Y(k+2)-Y(k+1))/H(k+1)-(Y(k+1)-Y(k))/H(k);

end

%for natural spline

eqns(n-1) = A(1)==0;

eqns(n) = A(n)==0 ;

eqns

S = solve(eqns)

A(1) = S.A1;

A(2) = S.A2; A(3) = S.A3; A(4) = S.A4

for k = 1:n-1

B(k) = Y(k)/H(k) - A(k)*H(k);

C(k) = Y(k+1)/H(k) - A(k+1)*H(k);

end

B

C

hold on

for k = 1:n-1

S(x) = A(k)*(X(k+1)-x)^3/H(k) + A(k+1)*(x-X(k))^3/H(k) + B(k)*(X(k+1)- x) + C(k)*(x - X(k))

fplot(S(x), [X(k) X(k+1)])

end

hold off

Sahithi Kanumarlapudi
on 24 Feb 2021

Hi,

In your code 'S' is a struct with 4 fileds and 'A(k)*(X(k+1)-x)^3/H(k) + A(k+1)*(x-X(k))^3/H(k) + B(k)*(X(k+1)- x) + C(k)*(x - X(k))' is a symbolic expression. You may assign the expression to another filed of S but not to S(x) as 'S' is struct.

Hopen this helps!

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