Solution of high order ordinary boundary value problems using semi-analytic technique

Abstract EN

The aim of this paper is to present a method for solving high order ordinary differential equations with two point's boundary condition, we propose semi-analytic technique using two-point oscillatory interpolation to construct polynomial solution.

The original problem is concerned using two-point oscillatory interpolation with the fit equal numbers of derivatives at the end points of an interval [0, 1].

Also, many examples are presented to demonstrate the applicability, accuracy and efficiency of the method by comparing with conventional methods.