Modeling the potential energy field caused by mass density distribution with Eton approach

被引:23
作者
Alkahtani, Badr Saad T. [1 ]
Atangana, Abdon [2 ]
机构
[1] King Saud Univ, Coll Sci, Dept Math, POB 1142, Riyadh 11989, Saudi Arabia
[2] Univ Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, ZA-9300 Bloemfontein, South Africa
来源
OPEN PHYSICS | 2016年 / 14卷 / 01期
关键词
Eton approach; Atangana derivative with memory; fractional derivative; Poisson equation; numerical analysis; ANOMALOUS DIFFUSION; DIFFERENTIAL-OPERATORS;
D O I
10.1515/phys-2016-0008
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A new approach for modeling real world problems called the "Eton Approach" was presented in this paper. The "Eton approach" combines both the concept of the variable order derivative together with Atangana derivative with memory derivative. The Atangana derivative with memory is used to account for the memory and fractional derivative for its filter effect. The approach was used to describe the potential energy field that is caused by a given charge or mass density distribution. We solve the modified model numerically and present supporting numerical simulations.
引用
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页码:106 / 113
页数:8
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