Mathematical methods are extensively used in dealing with simulation and approximation problems related to computer science, engineering, physics, many others [...]

Tseng's forward-backward-forward splitting method for finding zeros of the sum Lipschitz continuous monotone and maximal operators is known to converge weakly in infinite dimensional Hilbert spaces. The inertial viscosity approximation techniques are widely used accelerate iterative algorithms obtain strong convergence, respectively. In this paper, we propose two fast, strongly convergent modif...

We address numerical solvers for a poromechanics model particularly adapted soft materials, as it generally respects thermodynamics principles and energy balance. Considering the multi-physics nature of problem, which involves solid fluid species, interacting on basis mass balance momentum conservation, we decide to adopt solution strategy discrete problem based iterative splitting schemes. As ...

The current research develops derivative-free family with memory methods with 100% improvement in the order of convergence. They have three parameters. The parameters are approximated and increase the convergence order from 4 to 6, 7, 7.5 and 8, respectively. Additionally, the new self-accelerating parameters are constructed by a new way. They have the properties of simple structures and they a...

This paper presents the analysis of vibration control of a laminated composite beam that including magnetostrictive layers. The formulation of problem is presented based on the shear deformation beam theory. For vibration suppression, the velocity feedback control with constant gain distributed is considered. Navier's method is applied to analyze the solution of vibration suppression of laminat...

In this paper, based on the principle of turbo processing, we propose two iterative receiver schemes for carrier frequency offset (CFO) compensation in orthogonal frequency division multiplexing (OFDM) systems. Our CFO compensation designs, one in time domain and the other in frequency domain, are based on joint estimation of time-varying channel and CFO. In our schemes, the random CFO problem,...

In this paper, the dynamical behavior of different optimal iterative schemes for solving nonlinear equations with increasing order, is studied. The tendency of the complexity of the Julia set is analyzed and referred to the fractal dimension. In fact, this fractal dimension can be shown to be a powerful tool to compare iterative schemes that estimate the solution of a nonlinear equation. Based ...