A Finite Difference Method to Solve a Special Type of Second Order Differential Equations

Abstract

In this study, we give a finite difference scheme to solve a special type of second order differential equations. Our numerical method based on finite difference relation which is obtained the Lagrange polynomial interpolations. By applying this method the equation is made discrete using appropriate finite difference approaches instead of derivatives. The approximate solutions are obtained by using Maple 13. Absolute errors are calculated. The results are analyzed with tables . The graphics of errors for different mesh size are given.

Keywords

• Finite difference method
• boundary value problem
• Lagrange polynomial interpolation

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