Stability and numerical analysis of the generalised time-fractional Cattaneo model for heat conduction in porous media

被引：6

作者：

Mohan, Lalit ^{[1
]}

Prakash, Amit ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Kurukshetra 136119, India

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2023年 / 138卷 / 03期

关键词：

ANOMALOUS DIFFUSION; RANDOM-WALK; EQUATIONS; TRANSPORT;

D O I：

10.1140/epjp/s13360-023-03765-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This work investigates the generalised time-fractional Cattaneo model. The homotopy perturbation transform technique is used to get the numerical solution of this model. The stability is analysed using the Lyapunov function, also the error analysis is discussed. Finally, the effectiveness of the proposed technique is illustrated by calculating the L-2 and L-8 error and comparing it with the existing techniques.

引用

页数：28

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