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

Abstract

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.

Keywords

• eton approach
• atangana derivative with memory
• fractional derivative
• poisson equation
• numerical analysis
• 02.30.jr
• 02.60.cb
• 02.60.lj