When the variable of this polynomial is set to 1, it corresponds to the Euler–Poincaré formula. The innovative contribution of this paper lies in the recursive computation method and properties of the ...

Abstract: Dynamic simulation of a power system involves the solutions of many nonlinear differential-algebraic equations that are computationally expensive. While quasi steady state approximation ...

ABSTRACT: We examined the fractional second-order singular Lagrangian systems. We wrote the action principal function and equations of motion as fractional total differential equations. Also, we ...

Department of Laboratory Medicine, The First Affiliated Hospital of Chongqing Medical University, Chongqing 400016, China Department of Laboratory Medicine, The Affiliated Yongchuan Hospital of ...

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

Reactor physics aims to study the interactions between neutrons and matter in nuclear reactors with both analytical and numerical models. With reactor physics modeling, key neutronic information of ...