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A MATLAB program for computing differentiation matrices for arbitraryone-dimensional meshes is presented in this manuscript. The differentiationmatrices for a mesh of N arbitrarily spaced points are formed from thoseobtained using Lagrangian interpolation on stencils of a fixed but arbitrarynumber M<=N of contiguous mesh points. For the particular case M=N and mesheswith Chebyshev or Legendre distributions of points, the program yields the wellknown spectral differentiation matrices. For M<N and M odd, the differentiationmatrices coincide, for the special case of an evenly spaced mesh, with thoseobtained by central finite differences.

A simple MATLAB program to compute differentiation matrices for arbitrary meshes via Lagrangian interpolation