Title
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.
Year
DOI
Venue
2008
10.1080/00207160701543392
Int. J. Comput. Math.
Keywords
Field
DocType
septic-spline collocation method,spline interpolants,numerical result,second-order convergent,linear sixth-order boundary-value problem,sixth-order boundary-value problem,order of convergence,boundary value problem,collocation method,convergence,second order,spline interpolation
Spline (mathematics),Mathematical optimization,Thin plate spline,Spline interpolation,Hermite spline,Mathematical analysis,Smoothing spline,Rate of convergence,Perfect spline,Collocation method,Mathematics
Journal
Volume
Issue
ISSN
85
11
0020-7160
Citations 
PageRank 
References 
3
0.43
6
Authors
5
Name
Order
Citations
PageRank
A. Lamnii1115.34
H. Mraoui2224.89
Driss Sbibih35212.89
Ahmed Tijini4205.11
Ahmed Zidna54411.33