Solution of eighth-order boundary value problems using the non-polynomial spline technique

Abstract

The non-polynomial spline technique is used for the numerical solution of eighth-order linear special case boundary value problems. The method presented in this paper has also been proven to be second-order convergent. To compare the method developed in this paper with those developed by Inc and Evans, and Siddiqi and Twizell, two examples are considered and it is observed that our method is more efficient.

Keywords:

• Non-polynomial spline
• Boundary value problems
• End conditions