A simple finite-difference grid with non-constant intervals

Abstract

A finite difference network with non-uniform grid intervals, h_i, such that h_i = h_i-1 + O(h²_i-1) is presented. The use of the grid network for two specific choices of h_i - h_i-1 for a linear boundary layer problem shows that it has distinct advantages in computational efficiency and in accuracy of representation of the analytical solution. DOI: 10.1111/j.2153-3490.1970.tb01933.x