Legendre spectral collocation technique for fractional inverse heat conduction problem

被引：7

作者：

Abdelkawy, M. A. ^{[1
,2
]}

Babatin, Mohammed M. ^{[1
]}

Alnahdi, Abeer S. ^{[1
]}

Taha, T. M. ^{[2
]}

机构：

[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math & Stat, Riyadh, Saudi Arabia

[2] Beni Suef Univ, Fac Sci, Dept Math, Bani Suwayf, Egypt

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2022年 / 33卷 / 05期

关键词：

Inverse problem; spectral collocation method; fractional calculus; ALGORITHM; EQUATION;

D O I：

10.1142/S0129183122500656

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

For fractional inverse heat conduction problem (FIHCP), this paper introduces a numerical study. For the proposed FIHCP, in addition to the unknown function of temperature, the boundary heat fluxes are also unknown. Related to the two independent variables, the proposed scheme uses a fully spectral collocation treatment. Our technique is determined to be more accurate, efficient and practicable. The obtained results confirmed the exponential convergence of the spectral scheme.

引用

页数：15

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