Results 111 to 120 of about 225,328 (312)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Meta‐Metamodelling of Engineering Systems by Help of Abstract Mathematics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The growing trend of automation in engineering significantly increases the complexity of engineering systems and necessitates a deeper understanding of the coupling of physical and cyber components interacting within the systems. A typical example of such a highly coupled system is an autonomous construction site, where robotic systems aim to ...
Daniel Luckey, Dmitrii Legatiuk
wiley   +1 more source

Superquadric Motion and Superquadric Hyperbolic Split Quaternion Algebra Via Gielis Formula

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Superquadrics are one of the most suitable geometric tools for modeling many complex shapes in nature. It is possible to model many objects, human figures, and living creatures in nature in a suitable way by means of superquadrics. On the other hand, quaternions are useful in mathematics, especially for computations involving three‐dimensional
Zehra Özdemir, Esra Parlak
wiley   +1 more source

The Use of Mathematical Module Based on Constructivism Approach as Media to Implant the Concept of Algebra Operation [PDF]

International Electronic Journal of Mathematics Education, 2017
Jazim Jazim, Rahmad Bustanul Anwar, Dwi Rahmawati   +2 more
openaire   +1 more source

Image space formalism of convolutional neural networks for k‐space interpolation

Magnetic Resonance in Medicine, EarlyView.
Abstract Purpose Noise resilience in image reconstructions by scan‐specific robust artificial neural networks for k‐space interpolation (RAKI) is linked to nonlinear activations in k‐space. To gain a deeper understanding of this relationship, an image space formalism of RAKI is introduced for analyzing noise propagation analytically, identifying and ...
P. Dawood, F. Breuer, M. Gram, I. Homolya, P. M. Jakob, M. Zaiss, M. Blaimer   +6 more
wiley   +1 more source

Uncertainty Quantification for Nonlinear Vibration of Supercritical Drive Shaft With a Dry Friction Damper

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The supercritical drive shaft is becoming increasingly popular in helicopter transmission system. Dry friction dampers are specially employed to ensure the supercritical shafts crossing the critical speed safely. Due to design tolerances, manufacturing errors and time‐varying factors, the parameters of the damper are inherently uncertain ...
Liyao Song, Meijun Liao, Weifang Chen, Rupeng Zhu, Dan Wang   +4 more
wiley   +1 more source

Launch Uncertainty Analysis Under Barrel Erosion Using Experiments and Random Matrix Theory

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The effects of barrel erosion on artillery firing performance have long been a subject of concern, but its effect on launch uncertainty has yet to be investigated. This article explores the influence of barrel erosion on the interior ballistic mechanical properties and launch disturbances.
Chengyuan Guo, Guolai Yang, Liqun Wang, Jianli Ge, Qingle Wu, Hao Guo   +5 more
wiley   +1 more source

Genetic Algebras Associated with ξ^(a)-Quadratic Stochastic Operators. [PDF]

Entropy (Basel), 2023
Mukhamedov F, Qaralleh I, Qaisar T, Hasan MA.   +3 more
europepmc   +1 more source