A computationally efficient method for tempered fractional differential equations with application

被引：41

作者：

Moghaddam, Behrouz Parsa ^{[1
]}

Machado, J. A. Tenreiro ^{[2
]}

Babaei, Afshin ^{[3
]}

机构：

[1] Islamic Azad Univ, Lahijan Branch, Dept Math, Lahijan, Iran

[2] Inst Engn, Dept Elect Engn, Rua Dr Antonio Bernardino de Almeida 431, P-4249015 Porto, Portugal

[3] Univ Mazandaran, Dept Math, POB 47416 95447, Babol Sar, Iran

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2018年 / 37卷 / 03期

关键词：

Tempered fractional calculus; Computational method; Sinc-collocation method; Convergence order; The lumped capacitance model; APPROXIMATIONS; ALGORITHMS; DIFFUSION;

D O I：

10.1007/s40314-017-0522-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the numerical approximation of the tempered fractional integral by using the Sinc-collocation scheme. The algorithm is extended to solve a class of tempered fractional differential equations that converges to the solution with exponential rate. Several numerical examples compare the numerical approximations with the exact solutions. The behavioral responses of the lumped capacitance model with tempered fractional order for transient conduction are investigated. The efficiency and accuracy of the proposed scheme are analyzed in the perspective of the -norm error and convergence order.

引用

页码：3657 / 3671

页数：15

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