Publication

Abstract : In this paper, we discuss a simple and efficient symbolic method to find the Green’s function of a two-point boundary value problem for linear ordinary differential equations with inhomogeneous Stieltjes boundary conditions. The proposed method is also applicable to find an approximate solution of a two-point boundary value problem for non-linear differential equations. Certain examples are presented to illustrate the proposed method. The method is easy to implement the manual calculations in commercial mathematical softwares, such as Maple, Mathematica, Singular, SCIlab etc. Implementation of the proposed algorithm in Maple is also discussed and sample computations are shown using the Maple implementation.