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

Iraqi Journal of Science

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

Mathematics
Physics

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