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

被引：102
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.
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页数：6
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