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Solving systems of linear and nonlinear fractional differential equations using spline functions
Other Title(s)
حل أنظمة خطية و غير خطية من المعادلات التفاضلية الكسرية باستخدام اقترانات الشريحة
Author
Source
Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series
Issue
Vol. 28, Issue 1 (30 Apr. 2013), pp.43-60, 18 p.
Publisher
Mutah University Deanship of Academic Research
Publication Date
2013-04-30
Country of Publication
Jordan
No. of Pages
18
Main Subjects
Topics
Abstract AR
في هذا البحث اقترانات الشريحة المناسبة على شكل كثير الحدود استمدن و استخدمت لحل أنظمة خطية و غير خطية من المعادلات التفاضلية الكسرية، في البداية تم عرض وصف للطريقة المقترحة، تنطبق هذه الطريقة عندما 1 0 < α ≤، حيث أن α ترمز لرتبة الاشتقاق الكسري في منظور مابوتو.
النتائج التي تم الحصول عليها تتفق بشكل جيد مع الحلول التحليلية المضبوطة، و كذلك مع الحلول العددية باستخدام طرق عددية أخرى.
النتائج تظهر أن التقنية المقدمة في هذا البحث قوية و سهلة التطبيق.
Abstract EN
In this paper, suitable spline functions of polynomial form are derived and used to solve linear and nonlinear systems of fractional differential equations.
Description of the proposed method is first introduced, it is applicable for 0 <α ≤1, where α denotes the order of the fractional derivative in the Caputo sense.
The results obtained are in good agreement with the exact analytical solutions and the numerical results presented by other numerical methods.
Results also show that the technique introduced in this paper is robust and easy to apply.
American Psychological Association (APA)
al-Rabtah, Adil Hilal. 2013. Solving systems of linear and nonlinear fractional differential equations using spline functions. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 28, no. 1, pp.43-60.
https://search.emarefa.net/detail/BIM-348834
Modern Language Association (MLA)
al-Rabtah, Adil Hilal. Solving systems of linear and nonlinear fractional differential equations using spline functions. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 28, no. 1 (2013), pp.43-60.
https://search.emarefa.net/detail/BIM-348834
American Medical Association (AMA)
al-Rabtah, Adil Hilal. Solving systems of linear and nonlinear fractional differential equations using spline functions. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2013. Vol. 28, no. 1, pp.43-60.
https://search.emarefa.net/detail/BIM-348834
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 58-60
Record ID
BIM-348834