Chebyshev polynomials and spectral method for optimal control problem
Other Title(s)
متعددات حدود شيبيشف و طريقة الطيف لمسألة السيطرة المثلى
Joint Authors
Shihab, Suha Najib
Abd al-Eiwy, Jabbar
Source
Engineering and Technology Journal
Issue
Vol. 27, Issue 14 (30 Nov. 2009), pp.2642-2652, 11 p.
Publisher
Publication Date
2009-11-30
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Topics
Abstract AR
هذا البحث يقدم خوارزميات كفوءة و التي استندت على تطبيق فكرة طريقة الطيف باستخدام متعددات حدود شيبيشف : و المتضمنة : متعددات حدود شيبيشف من النوع الأول، متعددات حدود شبشف من النوع الثاني، متعددات حدود شيبيشف المزاحة من النوع الأول.
اشتقت بعض الخواص الجديدة لمتعددات حدود شيبيشف لتسهيل الحسابات.
أضافه إلى ذلك، اشتقت صيغة الاقتراب للخوارزميات المقترحة، و استخدام الخوارزميات الثلاثة وضحت بمثال.
Abstract EN
Abstract This paper presents efficient algorithms which are based on applying the idea of spectral method using the Chebyshev polynomials: including Chebyshev polynomials of the first kind, Chebyshev polynomials of the second kind and shifted Chebyshev polynomials of the first kind.
New properties of Chebyshev polynomials are derived to facilitate the computations throughout this work.
In addition the convergence criteria for the proposed algorithms are derived.
The use of the three algorithms has been demonstrated with example. Keywords: spectral method chebyshev polynomials quadratic optimal control
American Psychological Association (APA)
Shihab, Suha Najib& Abd al-Eiwy, Jabbar. 2009. Chebyshev polynomials and spectral method for optimal control problem. Engineering and Technology Journal،Vol. 27, no. 14, pp.2642-2652.
https://search.emarefa.net/detail/BIM-47382
Modern Language Association (MLA)
Shihab, Suha Najib& Abd al-Eiwy, Jabbar. Chebyshev polynomials and spectral method for optimal control problem. Engineering and Technology Journal Vol. 27, no. 14 (2009), pp.2642-2652.
https://search.emarefa.net/detail/BIM-47382
American Medical Association (AMA)
Shihab, Suha Najib& Abd al-Eiwy, Jabbar. Chebyshev polynomials and spectral method for optimal control problem. Engineering and Technology Journal. 2009. Vol. 27, no. 14, pp.2642-2652.
https://search.emarefa.net/detail/BIM-47382
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 2650-2651
Record ID
BIM-47382