A Novel Three-Step Numerical Solver for Physical Models under Fractal Behavior

In this paper, we suggest an iterative method for solving nonlinear equations that can be used in the physical sciences. This response is broken down into three parts. Our methodology inspired by both standard Taylor’s and earlier Halley’s method. Three evaluations of given function two its first derivative are all needed each iteration with Because this, unique complete goal far more quickly than many other methods currently use. We looked at several additional practical research models, including population growth, blood rheology, neurophysiology. Polynomiographs to show convergence zones certain polynomials complex values. produced as a byproduct, these end up having appealing look being artistically engaging. The twisting polynomiographs symmetric when parameters real asymmetric some imaginary.