Fractional shifted legendre polynomials for solving timefractional bioheat equation
Other Title(s)
متعددات حدود ليجندر الكسورية لحل معادلة الحرارة الحيوية الكسورية-الزمانية
Joint Authors
al-Sadawi, Firas Amir Sadun
al-Hamidi, Hamidah Awdah Mazban
Source
Journal of Basrah Researches : Sciences
Issue
Vol. 45, Issue 2A (30 Jun. 2019), pp.118-130, 13 p.
Publisher
University of Basrah College of Education for Pure Sciences
Publication Date
2019-06-30
Country of Publication
Iraq
No. of Pages
13
Main Subjects
Abstract EN
The aims of this paper: to employ the fractional shifted Legendre polynomials (FSLPs) to approximate the fractional temporal derivatives by using definition Caputo formula for fractional differential operator.
The space derivatives of the order integers are approximated depending on the shifted Legendre polynomials.
The numerical tests suggest for two examples that the proposed approach are efficient and robust in its solutions for the time-fractional bioheat equation.
Furthermore, some the preliminaries and definitions of the fractional derivatives, theorems and lemmas related to the fractional shifted Legendre polynomials are inserted to verify the convergence results of the algorithm under consideration.
Finally, we discussed the error analysis.
American Psychological Association (APA)
al-Sadawi, Firas Amir Sadun& al-Hamidi, Hamidah Awdah Mazban. 2019. Fractional shifted legendre polynomials for solving timefractional bioheat equation. Journal of Basrah Researches : Sciences،Vol. 45, no. 2A, pp.118-130.
https://search.emarefa.net/detail/BIM-939571
Modern Language Association (MLA)
al-Sadawi, Firas Amir Sadun& al-Hamidi, Hamidah Awdah Mazban. Fractional shifted legendre polynomials for solving timefractional bioheat equation. Journal of Basrah Researches : Sciences Vol. 45, no. 2A (2019), pp.118-130.
https://search.emarefa.net/detail/BIM-939571
American Medical Association (AMA)
al-Sadawi, Firas Amir Sadun& al-Hamidi, Hamidah Awdah Mazban. Fractional shifted legendre polynomials for solving timefractional bioheat equation. Journal of Basrah Researches : Sciences. 2019. Vol. 45, no. 2A, pp.118-130.
https://search.emarefa.net/detail/BIM-939571
Data Type
Journal Articles
Language
English
Notes
Includes appendices : p. 125-129
Record ID
BIM-939571