title: Twelfth degree spline with application to quadrature.
abstract: In this paper existence and uniqueness of twelfth degree spline is proved with application to quadrature. This formula is in the class of splines of degree 12 and continuity order [Formula: see text] that matches the derivatives up to order 6 at the knots of a uniform partition. Some mistakes in the literature are pointed out and corrected. Numerical examples are given to illustrate the applicability and efficiency of the new method.
authors.affiliation: Department of Mathematics, College of Education, University of Sulaimani, Sulaimani, Kurdistan Region Iraq.
authors.forename: P O
authors.initials: PO
authors.lastname: Mohammed
authors.affiliation: Department of Mathematics, College of Education, University of Sulaimani, Sulaimani, Kurdistan Region Iraq.
authors.forename: F K
authors.initials: FK
authors.lastname: Hamasalh
keywords: Interpolation; Quadrature; Spline approximation