Comparison of two numerical techniques for solving some boundary value problems

In this work, we show how can we use the numerical Green s function obtained by the numerical method submitted by B.Fengsheng L.Jiaqi 1987), for computing the general solution of the boundary value problems, which were covered by non-homogeneous linear ordinary differential equations of the second order with homogeneous boundary conditions. K. Siu Y.Billy (1999) found the exact solution for some boundary value problems by the analytic fundamental solution (Green s function), and they found the numerical solution by the Finite Difference Method. We compare the results of the numerical solutions depending on numerical fundamental solution with those found by K. Siu Y.Billy (1999) and we find that they are identical.