Where is the error and how is the code correct?
1 vue (au cours des 30 derniers jours)
Afficher commentaires plus anciens
Mohammed
le 23 Déc 2023
Modifié(e) : Sulaymon Eshkabilov
le 23 Déc 2023
% Sample data points
x = [1, 2, 3];
f = [2, 5, 10];
% Call the function for curve fitting
dividedDifferenceTable(x, f);
function dividedDifferenceTable(x, f)
% Check if the number of data points is consistent
if length(x) ~= length(f)
error('Number of data points must be the same for x and f.');
end
n = length(x) - 1; % Degree of polynomial
F = zeros(n + 1, n + 2); % Divided difference table
% Fill in the first two columns of the table
F(:, 1) = x';
F(:, 2) = f';
% Construct the divided difference table
for j = 3:n + 2
for i = 1:n + 2 - j
F(i, j) = (F(i + 1, j - 1) - F(i, j - 1)) / (F(i + j - 2, 1) - F(i, 1));
end
end
% Display the divided difference table
disp('Divided Difference Table:');
disp(F);
% Print the polynomial
syms sym_x;
poly = F(1, 2);
for i = 2:n + 1
term = F(1, i + 1);
for j = 1:i - 1
term = term * (sym_x - F(j, 1));
end
poly = poly + term;
end
disp(['Polynomial: f(x) = ' char(poly)]);
% Evaluate the function at any given x
x_val = input('Enter the value of x to evaluate f(x): ');
result = subs(poly, sym_x, x_val);
disp(['f(' num2str(x_val) ') = ' num2str(result)]);
% Evaluate the absolute error
true_value = input('Enter the true value of f(x): ');
error = abs(result - true_value);
disp(['Absolute Error: ' num2str(error)]);
end
2 commentaires
Dyuman Joshi
le 23 Déc 2023
Which error are you talking about? Are you running the script in a live editor?
Réponse acceptée
Sulaymon Eshkabilov
le 23 Déc 2023
Here is the corrected code:
% Sample data points
x = [1, 2, 3];
f = [2, 5, 10];
% Call the function for curve fitting
dividedDifferenceTable(x, f);
function dividedDifferenceTable(x, f)
% Check if the number of data points is consistent
if length(x) ~= length(f)
error('Number of data points must be the same for x and f.');
end
n = length(x) - 1; % Degree of polynomial
F = zeros(n + 1, n + 2); % Divided difference table
% Fill in the first two columns of the table
F(:, 1) = x';
F(:, 2) = f';
% Construct the divided difference table
for j = 3:n + 2
for i = 1:n + 2 - j
F(i, j) = (F(i + 1, j - 1) - F(i, j - 1)) / (F(i + j - 2, 1) - F(i, 1));
end
end
% Display the divided difference table
disp('Divided Difference Table:');
disp(F);
% Print the polynomial
syms sym_x;
poly = F(1, 2);
for i = 2:n + 1
term = F(1, i + 1);
for j = 1:i - 1
term = term * (sym_x - F(j, 1));
end
poly = poly + term;
end
disp(['Polynomial: f(x) = ' char(poly)]);
% Evaluate the function at any given x
x_val = input('Enter the value of x to evaluate f(x): ');
result = subs(poly, sym_x, x_val);
fprintf('f(%f) = %f \n', [x_val, result])
% Evaluate the absolute error
true_value = input('Enter the true value of f(x): ');
error = abs(result - true_value);
fprintf('Absolute Error = %f \n', error)
end
9 commentaires
Plus de réponses (0)
Voir également
Catégories
En savoir plus sur Logical dans Help Center et File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!