The numerical solutions of 2D time-space fractional bioheat problem by using fractional quadratic spline method

Other Title(s)

الحلول العددية لمسألة الانتشار الحراري الحيوي ثنائية البعد الكسورية للزمان-المكان باستخدام-طريقة الشريحة التربيعية الكسورية

Joint Authors

al-Hamidi, Hamidah Awdah Mazban
Abd al-Husayn, Ammar Muslim

Source

Basrah Journal of Science

Issue

Vol. 37, Issue 2 (31 Dec. 2019), pp.276-292, 17 p.

Publisher

University of Basrah College of Science

Publication Date

2019-12-31

Country of Publication

Iraq

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

In this article, a time-space fractional two-dimensional bioheat transfer model of temperature distribution in tissue has been solved Caputo fractional derivative for time-fractional derivative with ? order and fractional quadratic spline for space of fractional derivative with ? order.

The goal of this article is to make a comparison between exact and numerical solutions.

Theoretically, the stability analysis uses the Von Neumann method

American Psychological Association (APA)

Abd al-Husayn, Ammar Muslim& al-Hamidi, Hamidah Awdah Mazban. 2019. The numerical solutions of 2D time-space fractional bioheat problem by using fractional quadratic spline method. Basrah Journal of Science،Vol. 37, no. 2, pp.276-292.
https://search.emarefa.net/detail/BIM-949054

Modern Language Association (MLA)

Abd al-Husayn, Ammar Muslim& al-Hamidi, Hamidah Awdah Mazban. The numerical solutions of 2D time-space fractional bioheat problem by using fractional quadratic spline method. Basrah Journal of Science Vol. 37, no. 2 (2019), pp.276-292.
https://search.emarefa.net/detail/BIM-949054

American Medical Association (AMA)

Abd al-Husayn, Ammar Muslim& al-Hamidi, Hamidah Awdah Mazban. The numerical solutions of 2D time-space fractional bioheat problem by using fractional quadratic spline method. Basrah Journal of Science. 2019. Vol. 37, no. 2, pp.276-292.
https://search.emarefa.net/detail/BIM-949054

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p.290-291

Record ID

BIM-949054