Hi Mehmet,
I understand that you want to know the process of finding the value of Newton Interpolation polynomial at a point 'X0'.
To implement this, kindly refer to the following code snippet-
% Define your data points as vectors of X and Y values
X = [x1, x2, x3, ...]; % Input values
Y = [y1, y2, y3, ...];
% The point at which you want to evaluate the polynomial
X0 = your_desired_X0;
% Calculate the coefficients of the Newton polynomial
coeff = divdiff(X, Y); % Calculate the dividend differences
% Initialize the result
result = coeff(1); % The first coefficient is f(x0)
% Evaluate the polynomial at X0 using nested multiplication
n = length(X) - 1;
for i = 1:n
term = coeff(i + 1);
for j = 1:i
term = term * (X0 - X(j));
end
result = result + term;
end
disp(['The value of the Newton interpolation polynomial at X0 is: ' num2str(result)]);
I hope this answer helps you.
Regards,
Nithin Kumar.
