Approximate solution of fractional integro-differential equations by using bernstein polynomials
Other Title(s)
الحل التقريبي للمعادلات التفاضلية-التكاملية ذات الرتب الكسورية باستخدام متعددات حدود برنشتاين
Joint Authors
Muhammad, Usamah Hamid
al-Tai, Sarmad A.
Source
Engineering and Technology Journal
Issue
Vol. 30, Issue 8 (31 Jan. 2012), pp.1362-1373, 12 p.
Publisher
Publication Date
2012-01-31
Country of Publication
Iraq
No. of Pages
12
Main Subjects
Topics
Abstract AR
في هذا البحث، يتم أستخدام متعددات حدود برنشتاين، لتقريب حل المعادلات التفاضلية-التكاملية ذات الرتب الكسورية، و التي اعتمد تعريف (كابوتو) فيها بالنسبة للمشتقة الكسورية، و تم تقديم أمثلة للتحقق من فعالية الاشتقاق المقترح، و الحلول التقريبية تضمن الدقة المطلوبة.
Abstract EN
In this paper, Bernstein piecewise polynomial is used to approximate the solution of the fractional integro-differential equations, in which the fractional derivative is described in the (Caputo) sense.
Examples are considered to verify the effectiveness of the proposed derivation, and the approximate solutions guarantee the desired accuracy.
American Psychological Association (APA)
Muhammad, Usamah Hamid& al-Tai, Sarmad A.. 2012. Approximate solution of fractional integro-differential equations by using bernstein polynomials. Engineering and Technology Journal،Vol. 30, no. 8, pp.1362-1373.
https://search.emarefa.net/detail/BIM-300925
Modern Language Association (MLA)
Muhammad, Usamah Hamid& al-Tai, Sarmad A.. Approximate solution of fractional integro-differential equations by using bernstein polynomials. Engineering and Technology Journal Vol. 30, no. 8 (2012), pp.1362-1373.
https://search.emarefa.net/detail/BIM-300925
American Medical Association (AMA)
Muhammad, Usamah Hamid& al-Tai, Sarmad A.. Approximate solution of fractional integro-differential equations by using bernstein polynomials. Engineering and Technology Journal. 2012. Vol. 30, no. 8, pp.1362-1373.
https://search.emarefa.net/detail/BIM-300925
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 1372-1373
Record ID
BIM-300925