DISCRETE FRACTIONAL DIFFUSION MODEL WITH TWO MEMORY TERMS

被引：2

作者：

Qin, Yan-Mei ^{[1
,2
]}

Kong, Hua ^{[1
,2
]}

Wu, Kai-Teng ^{[1
,2
]}

Zhu, Xiao-Ming ^{[3
]}

机构：

[1] Neijiang Normal Univ, Key Lab Numer Simulat Sichuan Prov, Sichuan, Peoples R China

[2] Neijiang Normal Univ, Coll Math & Informat Sci, Sichuan, Peoples R China

[3] ZhouKou Normal Univ, Sch Math & Stat, Zhoukou, Peoples R China

来源：

THERMAL SCIENCE | 2015年 / 19卷 / 04期

基金：

中国国家自然科学基金;

关键词：

discrete fractional diffusion equation of two terms; discrete fractional difference; POROUS-MEDIA; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; LOGISTIC MAP; FLOW; CALCULUS; CHAOS;

D O I：

10.2298/TSCI1504177Q

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Fractional calculus can always exactly describe anomalous diffusion. Recently the discrete fractional difference is becoming popular due to the depiction of non-linear evolution on discrete time domains. This paper proposes a diffusion model with two terms of discrete fractional order. The numerical simulation is given to reveal various diffusion behaviors.

引用

页码：1177 / 1181

页数：5

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