Solution of two point boundary value problems, a numerical approach: parametric difference method

Abstract

In this article, we have presented a parametric finite difference method, a numerical technique for the solution of two point boundary value problems in ordinary differential equations with mixed boundary conditions. We have tested proposed method for the numerical solution of a model problem. The numerical results obtained for the model problem with constructed exact solution depends on the choice of parameters. The computed result of a model problem suggests that proposed method is efficient.

Keywords

• boundary value problem
• energy equation
• mixed boundary condition
• parametric difference method
• 65l10
• 65l12