Construction of lacunary sextic spline function interpolation and their applications
Joint Authors
al-Bayati, Abbas Y.
Said, Rustum K.
Salih, Faraidun K. Hama
Source
al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah
Issue
Vol. 23, Issue 3 (30 Sep. 2010), pp.108-115, 8 p.
Publisher
University of Mosul College of Education for Pure Science
Publication Date
2010-09-30
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Topics
Abstract AR
إن هدف هذا البحث هو الحصول على الوجود و الوحدانية و الحدود العليا من الأخطاء لدالة سبلاين من الدرجة السادسة.
كذلك تحت شروط و قيود مناسبة، تم إثبات وحدانية و وجودية الحل.
كذلك تم دراسة تحليل تقارب الدالة مع اشتقاق قيود الأخطاء حيث تم استخدام دالة Spline لإيجاد قيمة تقريبية للدالة المعطاة مع حساب مشتقاتها من خلال الدرجة السادسة.
تبين لنا كفاءة و قابلية التقنية الجديدة من خلال المثال العددي.
Abstract EN
In this paper, we consider the construction of the sextic splines function which interpolating the lacunary data.
Also, under suitable conditions, we show that the existence and uniqueness of the solution.
The convergence analysis of this spline function is studied and the error bounds are derived.
This spline function applied to find an approximate value of a given function and its derivatives through six orders.
A numerical example has been given to show the applicability and efficiency of the new proposed technique.
American Psychological Association (APA)
al-Bayati, Abbas Y.& Said, Rustum K.& Salih, Faraidun K. Hama. 2010. Construction of lacunary sextic spline function interpolation and their applications. al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah،Vol. 23, no. 3, pp.108-115.
https://search.emarefa.net/detail/BIM-325821
Modern Language Association (MLA)
al-Bayati, Abbas Y.…[et al.]. Construction of lacunary sextic spline function interpolation and their applications. al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah Vol. 23, no. 3 (2010), pp.108-115.
https://search.emarefa.net/detail/BIM-325821
American Medical Association (AMA)
al-Bayati, Abbas Y.& Said, Rustum K.& Salih, Faraidun K. Hama. Construction of lacunary sextic spline function interpolation and their applications. al-Tarbiyah wa-al-Ilm : Majallat ilmiyah lil-Buhuth al-Ilmiyah al-Asasiyah. 2010. Vol. 23, no. 3, pp.108-115.
https://search.emarefa.net/detail/BIM-325821
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 115
Record ID
BIM-325821
