ANALYSIS OF SOLUTIONS OF THE 1D FRACTIONAL CATTANEO HEAT TRANSFER EQUATION

被引：3

作者：

Siedlecka, Urszula ^{[1
]}

Ciesielski, Mariusz ^{[2
]}

机构：

[1] Czestochowa Tech Univ, Dept Math, Czestochowa, Poland

[2] Czestochowa Tech Univ, Dept Comp Sci, Czestochowa, Poland

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2021年 / 20卷 / 04期

关键词：

heat transfer; Cattaneo equation; fractional Caputo derivative; Laplace transform; Fourier transform; LAPLACE TRANSFORM; CONDUCTION;

D O I：

10.17512/jamcm.2021.4.08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a solution of the single-phase lag heat conduction problem is presented. The research concerns the generalized 1D Cattaneo equation in a whole-space domain, where a second order time derivative is replaced by the fractional Caputo derivative. The Fourier-Laplace transform technique is used to determine a solution of the considered problem. The numerical inversion of the Laplace transforms is applied. The effect of the order of the fractional derivative on the temperature distribution is investigated.

引用

收藏

页码：87 / 98

页数：12

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