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Explicit finite-difference approximations for variable-order non-linear fractional differential equations / Hanan M. Almrawm ; Supervised L. F. Abdelal , N. H. Sweilam

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Cairo : Hanan Mohamed Farag Almrawm , 2011Description: 114 P. : charts ; 25cmOther title:
  • تقريبات الفروق المنتهية الصريحة للمعادلات التفاضلية غير الخطية ذات الرتب الكسرية المتغيرة [Added title page title]
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  • Issued also as CD
Dissertation note: Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics Summary: In this thesis, the explicit finite-difference method for solving variable order fractional differential equations is considered. The concept of variable order fractional derivative is considered in the sense of Caputo and Riesz. In order to study the stability analysis and the truncation error of the schemes, some theorems with proofs are presented. Numerical test examples are given to demonstrate the effectiveness of the method
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Thesis Thesis قاعة الرسائل الجامعية - الدور الاول المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.M.Sc.2011.Ha.E (Browse shelf(Opens below)) Not for loan 01010110056484000
CD - Rom CD - Rom مخـــزن الرســائل الجـــامعية - البدروم المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.12.17.M.Sc.2011.Ha.E (Browse shelf(Opens below)) 56484.CD Not for loan 01020110056484000

Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics

In this thesis, the explicit finite-difference method for solving variable order fractional differential equations is considered. The concept of variable order fractional derivative is considered in the sense of Caputo and Riesz. In order to study the stability analysis and the truncation error of the schemes, some theorems with proofs are presented. Numerical test examples are given to demonstrate the effectiveness of the method

Issued also as CD

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