Runge-Kutta is a widely used numerical method for solving the non-linear Lorenz system. This study focuses on equations with classical parameter values by using lower order symmetrized methods, Implicit Midpoint Rule (IMR), and Trapezoidal (ITR). We show construction of symmetrical present experiments based two methods without symmetrization, one- two-step active symmetrization in constant step...

A coherent state is defined conventionally in different ways such as a displaced vacuum state, an eigenket of annihilation operator, or infinite dimensional Poissonian superposition Fock states. In this work, we describe ( t a + ...

Fractional factorial split-plot design has been widely used in many fields due to its advantage of saving experimental cost. The general minimum lower order confounding criterion is usually as one the attractive for selecting fractional design. In this paper, we are interested theoretical construction methods optimal designs under criterion. We present several conditions.