Faraidun K.H., Karwan H.F Jwamer, and Sabah Ali Mohammed

College of Science Education, Department of Mathematics, University of Sulaimani, Kurdistan Region, Iraq.

College of Science, Department of Mathematics, Kurdistan Region, Sulaimani, Iraq.

College of Engineering, Komar University of Science and Technology, Sulaimani, Kurdistan Region, Iraq.

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

DOI: https://doi.org/10.17656/jzs.10554

A numerical algorithm is constructed to develop numerical solution to the spline function based belonging to theC6-class. The presented method showed that the approximate solution for boundary value problems obtain by the numerical algorithm which are applied sixticspline 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.

College of Science Education, Department of Mathematics, University of Sulaimani, Kurdistan Region, Iraq.

College of Science, Department of Mathematics, Kurdistan Region, Sulaimani, Iraq.

College of Engineering, Komar University of Science and Technology, Sulaimani, Kurdistan Region, Iraq.

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

DOI: https://doi.org/10.17656/jzs.10554

**Abstract**A numerical algorithm is constructed to develop numerical solution to the spline function based belonging to theC6-class. The presented method showed that the approximate solution for boundary value problems obtain by the numerical algorithm which are applied sixticspline 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.

**Key Words:**Algorithm spline interpolation, error optimality, approximate solution, convergence analysis.**References**

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