Explicit finite-difference approximations for variable-order non-linear fractional differential equations /
Hanan Mohamed Farag Almrawm
Explicit finite-difference approximations for variable-order non-linear fractional differential equations / تقريبات الفروق المنتهية الصريحة للمعادلات التفاضلية غير الخطية ذات الرتب الكسرية المتغيرة Hanan M. Almrawm ; Supervised L. F. Abdelal , N. H. Sweilam - Cairo : Hanan Mohamed Farag Almrawm , 2011 - 114 P. : charts ; 25cm
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
Finite difference method Fractional derivative Variable order Fractional
Explicit finite-difference approximations for variable-order non-linear fractional differential equations / تقريبات الفروق المنتهية الصريحة للمعادلات التفاضلية غير الخطية ذات الرتب الكسرية المتغيرة Hanan M. Almrawm ; Supervised L. F. Abdelal , N. H. Sweilam - Cairo : Hanan Mohamed Farag Almrawm , 2011 - 114 P. : charts ; 25cm
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
Finite difference method Fractional derivative Variable order Fractional