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Materias / palabras clave: differential equations, computational methods, numerical linear algebra, optimal control; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods

Materias / palabras clave: mathematics, differential equations; Science: Mathematics

Materias / palabras clave: mathematics, differential equations, qualitative theory, dynamical systems, integral equations; Science: Mathematics

Materias / palabras clave: non-linear phenomena, computational techniques, differential equations; Science: Mathematics

Materias / palabras clave: optimal control, mathematical modeling, differential equations, dynamical systems, pdes; Science: Mathematics

Materias / palabras clave: partial differential equations, boundary and initial value problems, non-linear analysis, applied mathematics; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quanti...

We propose a simple preconditioning for the equations of motion of constrained mechanical systems in index three form. The scaling transformation is applied to the displacement‐velocity‐multiplier and to the reduced ...

Introduction. Nowadays, the most widely used wind energy conversion system in wind farms is based on a doubly fed induction generator (DFIG); it has a large speed range and can function in multiple modes. Problem. Harmon...

This study presents a novel triple integral transformation, called the double ARA–generalized Laplace transform (DAGLT), and applies it to solve (2+1)–dimensional singular pseudoparabolic equations in both linear and...

This study investigates a fractional partial differential equation in the field of mathematical biology. The Bernoulli (G'⁄G)-expansion method is applied to solve this class of fractional-order nonlinear differential e...

We evaluate the performance of novel numerical methods for solving one-dimensional nonlinear fractional dispersive and dissipative evolution equations. The methods are based on affine combinations of time-splitting integ...

Abstract There are vast constraint equations in conventional dynamics analysis of deployable structures, which lead to differential-algebraic equations (DAEs) solved hard. To reduce the difficulty of solving and the amou...

The main objective of this original research article is to understand the short-term dynamic behavior of the transport-category airplane during landing flare elevator control application. Increasing the pitch angle to ar...

Abstract The main purpose of this research is the survey of the development Block parallel numerical algorithms for solute stiff ordinary differential equations which are suitable for running on MIMD (Multiple instructi...

Abstract This paper presents a solution for sphere-shaped heterogeneities applied to the bioimpedance test. Such an approach has applicability for electrical impedance tomography, considering the impedance response for e...

A novel approach to approximately solving the restricted-control LQR problem online is substantiated and applied in two case-studies.  The first example is a one-dimensional system whose exact solution is known.  The o...

We consider an optimal rearrangement minimization problem involving the fractional Laplace operator (-Δ)s, 0 < s < 1, and the Gagliardo seminorm jujs. We prove the existence of the unique minimizer, analyze its properti...

Abstract In this paper, it is presented a general optimization methodology for improving empirical models predicting Okumura-Hata, Cost-231, ECC-33, and Egli using Genetic and Differential Evolution Algorithms. The metho...

In this paper, we solved the SEIR system (a system that describes the spread of viruses in computers) using the homogeneous balance method, which is one of the methods concerned with finding the accurate solution for equ...

"Discrete Fracture and Matrix (DFM) models describe fractured porous media as complex sets of 2D planar polygons embedded in a 3D matrix representing the surrounding porous medium. The numerical simulation of the flow in...

A procedure for obtaining the initial value of the costate in a regular, finite-horizon, nonlinear-quadratic problem is devised in dimension one. The optimal control can then be constructed from the solution to the Hamil...

The effects of induced magnetic field, thermal and concentration convection on the peristaltic flow of Prandtl nanofluids are explored in this study in an inclined asymmetric channel. A detailed mathematical explanation ...

Abstract The conversion of solar radiation into thermal energy has gained increasing attention due to the growing demand for renewable sources of heat and electricity. Nanofluids, owing to their enhanced heat transfer ca...

Mathematics and computer science play a pivotal role in modern biology. Dynamical models based on differential equations are particularly adapted to describe dynamic behaviors of many biological processes. However, tradi...