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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2010

Finite Difference Method for a Second-order Ordinary Differential Equation with a Boundary Condition of the Third Kind

  • P.K. Pandey EMAIL logo

Abstract

We present a second-order finite difference method for obtaining a solution of a second order two-point boundary value problem subject to Sturm's boundary conditions. We use equidistant discretization points, and the discretization of the differential equation at an interior point is based on just two evaluations of the function. Numerical examples are considered and the convergence of the proposed method is proved computationally.

Received: 2009-11-10
Revised: 2010-03-16
Accepted: 2010-03-21
Published Online: 2010
Published in Print: 2010

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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