We present a novel method for computing the nonperturbative kinetic term of gluon propagator from an exactly solvable ordinary differential equation, whose origin is fundamental Slavnov-Taylor identity satisfied by three-gluon vertex, evaluated in special kinematic limit. The main ingredients comprising solution are well-known projection simulated on lattice, and particular derivative ghost-glu...

In this paper, by using the theories and methods of mathematics analysis, ordinary differential equation and computer algebra, a reliable algorithm for solving ordinary differential equation (ODE) was established, and a new Maple procedure mechodeproc was established, too. The results of the examples indicated that the procedure mechodeproc based on Taylor polynomial method was simple and effec...

in this paper, we intend to solve special kind of ordinary differential equations which is called heun equations, by converting to a corresponding stochastic differential equation(s.d.e.). so, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this s.d.e. is solved by numerically methods. mo...

‎in this paper‎, ‎we introduce $alpha$-$psi$-contractive mapping in partially ordered sets and construct fixed point theorems to solve a first-order ordinary differential equation by existence of its lower solution.

Ordinary differential equation systems are used to model abundances of chemical species as deterministic continuous time processes. Identification of the system from noisy data is a major challenge with applications in systems biology – such as to the inference of phosphoprotein interaction networks as in [3]. For mass action kinetics the system structure – the network – is encoded via sparsity...

Applied scientists often like to use ordinary differential equations (ODEs) to model complex dynamic processes that arise in biology, engineering, medicine, and many other areas. It is interesting but challenging to estimate ODE parameters from noisy data, especially when the data have some outliers. We propose a robust method to address this problem. The dynamic process is represented with a n...