To perform interpolation for the function 'y = 1/(x+y)' with 'x' varying from 0.1 to 0.5, we can use a loop to iterate over the values of 'x' and compute the corresponding 'y' values. Here is an example script you can refer to:
% Define the range for x
x = 0.1:0.01:0.5;
% Initialize a matrix to store results
m = zeros(length(x), 20);
% Loop over each x value
for i = 1:length(x)
% Set the initial value of y for the current x
y = 2 / x(i);
% Perform interpolation iterations
for j = 1:20
% Update y based on the given formula
y = 1 / (x(i) + y);
% Store the result in the matrix
m(i, j) = y;
end
end
% Display the result matrix
disp(m);
I hope this helps!
