New model of groundwater flowing within a confine aquifer: application of Caputo-Fabrizio derivative

被引：105

作者：

Atangana, Abdon ^{[1
]}

Alkahtanil, Badr Saad T. ^{[1
]}

机构：

[1] Univ Orange Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, ZA-9300 Bloemfontein, South Africa

来源：

ARABIAN JOURNAL OF GEOSCIENCES | 2016年 / 9卷 / 01期

关键词：

Groundwater flow equation; Caputo-Fabrizio fractional derivative; Sumudu transform; Numerical simulation; EQUATION;

D O I：

10.1007/s12517-015-2060-8

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

A novel definition of the concept of derivative with fractional order was introduced. To further enhance the mathematical model describing the flow of water within a leaky aquifer, we apply the novel derivative. The resulting equation was solved with three different methods. We presented some numerical simulations to show the efficiency of the used derivative.

引用

页数：6

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