Spline approximate solution of eighth-order boundary-value problems

Abstract

We use non-polynomial spline functions to develop numerical methods for the solution of the eighth-order linear boundary-value problems. End conditions of the spline are derived. We compare our results with the results produced by decomposition method and polynomial spline method. However, it is observed that our approach produce better numerical solutions in the sense that max |e _i | is minimum.

Keywords:

• eighth-order boundary-value problem
• non-polynomial spline functions
• end conditions
• convergence analysis
• numerical results

2000 AMS Subject Classification :

• 65L10
• 34B05

Acknowledgements

The authors wish to thank the referees for their many valuable comments in the revision of this paper.