Issues‎ > ‎vol18no3‎ > ‎

An Algorithm for Computing Spline Function

Faraidun K. H.1, Karwan H.F Jwamer2, and Sabah Ali Mohammed3

1Faculty of Science and Science Education School of Science Education, Department of Mathematics, University of Sulaimani, Kurdistan Region, Iraq

2Faculty of Science and Science Education, School of Science, Department of Mathematics, Kurdistan Region, Sulaimani, Iraq  

3Education College, Department of Computers, University of Salahadden, Kurdistan Region, Erbil, Iraq

E-mail: faraidun.hamasalh@univsul.edu.iq , karwan.jwamer@univsul.edu.iq, asalih93@yahoo.com

Original: 19.03.2015Revised: 15.04.2016Accepted: 21.04.2016Published online: 20.09.2016



DOI Link: 

ABSTRACT

A numerical algorithm is constructed to develop numerical solution to the spline function based belonging to the C6-class. The presented method showed that the approximate solution for boundary value problems obtain by the numerical algorithm which are applied sixtic spline function is effective. Convergence analysis of the proposed method and error estimates are obtained.   Numerical results illustrate by two examples are given the practical usefulness and efficiency of the algorithm.

KEYWORDS

 Algorithm spline interpolation, error optimality, approximate solution, convergence analysis.     

FULL TEXT: