Quintic spline Methods with three collocation points for solving third-order boundary-value problems

Other Title(s)

طرائق شرائحية من الدرجة الخامسة بثلاث نقاط تجميعية لحل مسائل القيم الحدية من المرتبة الثالثة

Author

Mahmud, Sulayman Muhammad

Source

Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series

Issue

Vol. 26, Issue 1 (31 Dec. 2011), pp.119-139, 21 p.

Publisher

Mutah University Deanship of Academic Research

Publication Date

2011-12-31

Country of Publication

Jordan

No. of Pages

21

Main Subjects

Mathematics

Topics

Abstract AR

تم تقديم طرائق تجميعية تستخدم كثيرات حدود شرائحية من الدرجة الخامسة لحل نوعين من مسائل القيم الحدية في المعادلات التفاضلية من المرتبة الثالثة.

النوع الأول هو مسائل القيمة الحدية الخطية المعممة من المرتبة الثالثة, و الثاني هو نظام من مسائل القيمة الحدية من المرتبة الثالثة تلك المرتبط بمسائل الاتصال و أحادية الجانب و المسائل متعددة الحالات.

تم حل خمس مسائل و مقارنات مع طرائق شرائحية أخرى لتبيان فعالية و كفاءة الطرائق.

Abstract EN

We present spline collocation methods based on quintic polynomial splines to solve two types of third-order boundary value problems (BVPs).

The first type is general linear third-order BVPs and the second type is a system of third-order BVPs associated with obstacle, unilateral and contact problems.

By giving five numerical examples and comparing with the other spline methods the efficiency of the methods will be shown.

American Psychological Association (APA)

Mahmud, Sulayman Muhammad. 2011. Quintic spline Methods with three collocation points for solving third-order boundary-value problems. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 26, no. 1, pp.119-139.
https://search.emarefa.net/detail/BIM-320838

Modern Language Association (MLA)

Mahmud, Sulayman Muhammad. Quintic spline Methods with three collocation points for solving third-order boundary-value problems. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 26, no. 1 (2011), pp.119-139.
https://search.emarefa.net/detail/BIM-320838

American Medical Association (AMA)

Mahmud, Sulayman Muhammad. Quintic spline Methods with three collocation points for solving third-order boundary-value problems. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2011. Vol. 26, no. 1, pp.119-139.
https://search.emarefa.net/detail/BIM-320838

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 138-139

Record ID

BIM-320838