Collocation orthonormal Bernstein polynomials method for solving integral equations
Other Title(s)
طريقة العد لمتعددة حدود برنشتن المتعامدة لحل المعادلات التكاملية
Joint Authors
Shihab, Suha Naim
Ali, Mayadah Nizar Muhammad
Abd al-Rahman, Asma Abd al-Ilah
Source
Engineering and Technology Journal
Issue
Vol. 33, Issue 8B (31 Aug. 2015), pp.1493-1502, 10 p.
Publisher
Publication Date
2015-08-31
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Abstract AR
في ھذا البحث تم استخدام مجموعة متعددات لبرنشتن المتعامدة ضمن الفترة [ 0.1[ للدرجة 5.6 و إيجاد مصفوفة جديدة للمشتقات و استخدامھا لحل المعادلات التكاملية الخطية بنوعيھا فردھولم و فولتيرا من النوع الثاني لتعطي نتائج دقيقة للغاية حتى عند انخفاض قيمة ,m الأمثلة التوضيحية دليل على صحة و كفاءة ھذه التقنية و التقارب للحل المضبوط.
Abstract EN
In this paper, we use a combination of Orthonormal Bernstein functions on the interval [0,1] for degree m = 5, and 6 to produce a new approach implementing Bernstein operational matrix of derivative as a method for the numerical solution of linear Fredholm integral equations and Volterra integral equations of the second kind.
The method converges rapidly to the exact solution and gives very accurate results even by low value of m.
Illustrative examples are included to demonstrate the validity and efficiency of the technique and convergence of the method to the exact solution.
American Psychological Association (APA)
Shihab, Suha Naim& Abd al-Rahman, Asma Abd al-Ilah& Ali, Mayadah Nizar Muhammad. 2015. Collocation orthonormal Bernstein polynomials method for solving integral equations. Engineering and Technology Journal،Vol. 33, no. 8B, pp.1493-1502.
https://search.emarefa.net/detail/BIM-674729
Modern Language Association (MLA)
Abd al-Rahman, Asma Abd al-Ilah…[et al.]. Collocation orthonormal Bernstein polynomials method for solving integral equations. Engineering and Technology Journal Vol. 33, no. 8B (2015), pp.1493-1502.
https://search.emarefa.net/detail/BIM-674729
American Medical Association (AMA)
Shihab, Suha Naim& Abd al-Rahman, Asma Abd al-Ilah& Ali, Mayadah Nizar Muhammad. Collocation orthonormal Bernstein polynomials method for solving integral equations. Engineering and Technology Journal. 2015. Vol. 33, no. 8B, pp.1493-1502.
https://search.emarefa.net/detail/BIM-674729
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 1501-1502
Record ID
BIM-674729