Generalizing of finite difference method for certain fractional order parabolic PDE’s
Other Title(s)
تعميم طريقة الفروق المنتهية لحل معادلات تفاضلية جزئية معينة ذات رتب كسورية نوع القطع المكافئ
Joint Authors
Yusuf, Madihah Shalta
Awdah, Iman Hasan
Shukr, Ahmad Muhammad
Salih, Raghad Kazim
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 10, Issue 3 (31 Dec. 2018), pp.41-53, 13 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2018-12-31
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Abstract EN
Space-time fractional differential equation with integral term (S-TFDE) has been considered.
The finite difference method (implicit and explicit) combined with the trapezoidal integration formula has been used to find special formula to solve this equation.
The stability and convergence have been discussed.
The effect of adding an integral term to the common classical equation has been considered.
Graphical representation of the calculate solutions (obtained by the explicit and the implicit methods) for three numerical examples with their exact solution, are considered.
All the calculations and graphs are designed with the help of MATLAB.
American Psychological Association (APA)
Yusuf, Madihah Shalta& Shukr, Ahmad Muhammad& Awdah, Iman Hasan& Salih, Raghad Kazim. 2018. Generalizing of finite difference method for certain fractional order parabolic PDE’s. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 10, no. 3, pp.41-53.
https://search.emarefa.net/detail/BIM-875366
Modern Language Association (MLA)
Awdah, Iman Hasan…[et al.]. Generalizing of finite difference method for certain fractional order parabolic PDE’s. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 10, no. 3 (2018), pp.41-53.
https://search.emarefa.net/detail/BIM-875366
American Medical Association (AMA)
Yusuf, Madihah Shalta& Shukr, Ahmad Muhammad& Awdah, Iman Hasan& Salih, Raghad Kazim. Generalizing of finite difference method for certain fractional order parabolic PDE’s. al-Qadisiyah Journal for Computer Science and Mathematics. 2018. Vol. 10, no. 3, pp.41-53.
https://search.emarefa.net/detail/BIM-875366
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 52
Record ID
BIM-875366