A novel study on a fractional-order heat conduction model for the human head by using the least-squares method

被引：4
|
作者：
Kumar, Pushpendra [1 ]
Erturk, Vedat Suat [2 ]
Harley, Charis [3 ]
机构：
[1] Univ Johannesburg, Inst Future Knowledge, POB 524, ZA-2006 Auckland Pk, South Africa
[2] Ondokuz Mayis Univ, Dept Math, TR-55200 Atakum, Samsun, Turkiye
[3] Univ Johannesburg, Fac Engn & Built Environm, Data Sci Disciplines Res Grp, Inst Future Knowledge, POB 524, ZA-2006 Auckland Pk, South Africa
来源：
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL | 2023年 / 11卷 / 03期
关键词：
Human head; Heat conduction; Boundary value problems; Fractional derivatives; Numerical method; LANE-EMDEN; EQUATIONS;
D O I：
10.1007/s40435-022-01051-y
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this research article, a model of the temperature distribution in the human skull is considered by using the Caputo fractional derivative. When interfering thermometry is lacking, these models are quite useful in estimating the temporal course of temperatures. The given model is numerically solved with the application of the polynomial least-squares scheme. We study various fractional-order cases to simulate the proposed phenomena more clearly compared to the previously proposed integer-order studies. The motivation behind this study is to involve memory effects in the model by using fractional time derivatives.
引用
收藏
页码：1040 / 1049
页数：10
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