![](/images/graphics-bg.png)
Explicit finite difference approximation for the two-dimensional fractional dispersion equation
Other Title(s)
تقريب الفروق المنتهية الصريحةّ لمعادلة التشتت الكسرية ذات البعدين
Author
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 24, Issue 1 (31 Mar. 2011)8 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2011-03-31
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Abstract AR
في هذا البحث قدمنا و ناقشنا خوارزمية للحل العددي لمعادلة التشتت الكسرية ذي البعدين.
و إن خوارزمية الحل العددي لتلك المعادلة قائمة على أساس تقريب الفروق المنتهية الصريحة.
كما ناقشنا الاتساق، و الاستقرار الشرط، و التقارب للطريقة العددية.
أخيرا قدمنا مثالا عدديا ليظهر التشتت حسب مرتبة الاشتقاق الكسرية و بينا أن تقريب الفروق المنتهية الصريحة هو طريقة فعالة حسابيا لمعادلة التشتت الكسرية ذي البعدين.
Abstract EN
In this paper, we introduce and discuss an algorithm for the numerical solution of two- dimensional fractional dispersion equation.
The algorithm for the numerical solution of this equation is based on explicit finite difference approximation.
Consistency, conditional stability, and convergence of this numerical method are described.
Finally, numerical example is presented to show the dispersion behavior according to the order of the fractional derivative and we demonstrate that our explicit finite difference approximation is a computationally efficient method for solving two-dimensional fractional dispersion equation.
American Psychological Association (APA)
Gorial, Iman Ishw. 2011. Explicit finite difference approximation for the two-dimensional fractional dispersion equation. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 24, no. 1.
https://search.emarefa.net/detail/BIM-287039
Modern Language Association (MLA)
Gorial, Iman Ishw. Explicit finite difference approximation for the two-dimensional fractional dispersion equation. Ibn al-Haitham Journal for Pure and Applied Science Vol. 24, no. 1 (2011).
https://search.emarefa.net/detail/BIM-287039
American Medical Association (AMA)
Gorial, Iman Ishw. Explicit finite difference approximation for the two-dimensional fractional dispersion equation. Ibn al-Haitham Journal for Pure and Applied Science. 2011. Vol. 24, no. 1.
https://search.emarefa.net/detail/BIM-287039
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-287039