IEEE

A Modal Approach for the Solution of the Non-Linear Induction Problem in Ferromagnetic Media

Abstract: The non-linear induction problem in ferromagnetic media is solved using the fixed-point iteration method, where the linearized problem at each iteration is treated by means of a modal ...
IEEE

Investigation of the Vector Jiles–Atherton Model and the Fixed Point Method Combined Technique for Time-Periodic Magnetic Problems

Abstract: This paper presents a finite element analysis procedure for solving time-periodic magnetic field problems, employing the fixed point method and the vector Jiles-Atherton (J-A) model. To ...
Frontiers

The Aboodh transformation-based homotopy perturbation method: new hope for fractional calculus

Fractional differential equations can model various complex problems in physics and engineering, but there is no universal method to solve fractional models precisely. This paper offers a new hope for ...
Quanta Magazine

How We Can Make Sense of Chaos

In 1885, King Oscar II of Sweden announced a public challenge consisting of four mathematical problems. The French polymath Henri Poincaré focused on one related to the motion of celestial bodies, the ...
Scientific Research Publishing

An Efficient Decomposition Method for Solving Bratu’s Boundary Value Problem ()

The purpose of this paper is to employ the Adomian Decomposition Method (ADM) and Restarted Adomian Decomposition Method (RADM) with new useful techniques to resolve Bratu’s boundary value problem by ...