A new Mixed Nonpolynomial Spline method for the numerical solutions of time fractional bioheat equation
Other Title(s)
الطريقة الجديدة Mixed Nonpolynomial Spline لإيجاد الحلول العددية لمسألة الانتشار الحراري الحيوي الكسورية بالنسبة للزمن
Joint Authors
al-Hamidi, Hamidah Awdah Mazban
Abd al-Husayn, Ammar Muslim
Source
Issue
Vol. 61, Issue 7 (31 Jul. 2020), pp.1724-1732, 9 p.
Publisher
University of Baghdad College of Science
Publication Date
2020-07-31
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Topics
Abstract EN
In this paper, a numerical approximation for a time fractional one-dimensional bioheat equation (transfer paradigm) of temperature distribution in tissues is introduced.
It deals with the Caputo fractional derivative with order for time fractional derivative and new mixed nonpolynomial spline for second order of space derivative.
We also analyzed the convergence and stability by employing Von Neumann method for the present scheme.
American Psychological Association (APA)
Abd al-Husayn, Ammar Muslim& al-Hamidi, Hamidah Awdah Mazban. 2020. A new Mixed Nonpolynomial Spline method for the numerical solutions of time fractional bioheat equation. Iraqi Journal of Science،Vol. 61, no. 7, pp.1724-1732.
https://search.emarefa.net/detail/BIM-970124
Modern Language Association (MLA)
Abd al-Husayn, Ammar Muslim& al-Hamidi, Hamidah Awdah Mazban. A new Mixed Nonpolynomial Spline method for the numerical solutions of time fractional bioheat equation. Iraqi Journal of Science Vol. 61, no. 7 (2020), pp.1724-1732.
https://search.emarefa.net/detail/BIM-970124
American Medical Association (AMA)
Abd al-Husayn, Ammar Muslim& al-Hamidi, Hamidah Awdah Mazban. A new Mixed Nonpolynomial Spline method for the numerical solutions of time fractional bioheat equation. Iraqi Journal of Science. 2020. Vol. 61, no. 7, pp.1724-1732.
https://search.emarefa.net/detail/BIM-970124
Data Type
Journal Articles
Language
English
Notes
Text in English ; abstracts in English and Arabic.
Record ID
BIM-970124