Numerical Approach of Cattaneo Equation with Time Caputo-Fabrizio Fractional Derivative

被引：0

作者：

Soori, Zoleikha ^{[1
]}

Aminataei, Azim ^{[1
]}

机构：

[1] KN Toosi Univ Technol, Dept Math, POB 1676-53381, Tehran, Iran

来源：

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2024年 / 19卷 / 02期

关键词：

Caputo-Fabrizio fractional derivative; Compact finite difference; Cattaneo equation; Alternating direction implicit method; DIFFUSION; SCHEME; OPERATOR;

D O I：

10.61186/ijmsi.19.2.127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, we consider a type of Cattaneo equation with time fractional derivative without singular kernel based on fourth-order compact finite difference (CFD) in the space directions. In case of two dimensional, two alternating direction implicit (ADI) methods are proposed to split the equation into two separate one dimensional equations. The time fractional derivation is described in the Caputo-Fabrizio's sense with scheme of order O (tau(2)). The solvability, unconditional stability and H-1 norm convergence of the scheme are proved. Numerical results confirm the theoretical results and the effectiveness of the proposed scheme.

引用

页码：127 / 153

页数：27

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