Spline collocation method for solving linear sixth-order boundary-value problems

Abstract

There are few techniques to numerically solve sixth-order boundary-value problems. In this paper, septic-spline collocation method based on spline interpolants is developed and analysed. There is proved to be second-order convergent. Numerical results verify the order of convergence predicted by the analysis. We also give a comparison of this with those developed by El-Gamel, Cannon and Zayed in 2003 and Akram and Siddiqi in 2006.

Keywords:

• septic-spline interpolation
• sixth-order boundary-value problems
• convergence

2000 AMS Subject Classification:

• 41A05
• 41A15
• 65L10
• 65L60