intrpf.m

matlab的数学物理方程数值算法源程序。这是"Numerical Methods for Physics"第二版的matlab源程序。

function yi = intrpf(xi,x,y)
% Function to interpolate between data points
% using Lagrange polynomial (quadratic)
% Inputs
%   x    Vector of x coordinates of data points (3 values)
%   y    Vector of y coordinates of data points (3 values)
%   xi   The x value where interpolation is computed
% Output
%   yi   The interpolation polynomial evaluated at xi

%* Calculate yi = p(xi) using Lagrange polynomial
yi = (xi-x(2))*(xi-x(3))/((x(1)-x(2))*(x(1)-x(3)))*y(1) ...
  + (xi-x(1))*(xi-x(3))/((x(2)-x(1))*(x(2)-x(3)))*y(2) ...
  + (xi-x(1))*(xi-x(2))/((x(3)-x(1))*(x(3)-x(2)))*y(3);
return;