Results 41 to 50 of about 1,048 (181)

Tuning Colloidal Stability and Photothermal Conversion Efficiency of Graphite Nanofluids via Anionic‐Nonionic Surfactant Engineering

open access: yesENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
Graphite nanofluids were stabilized using a mixed SDS/Tween 80 surfactant system. The optimized formulation exhibited enhanced colloidal stability, red‐shifted UV–Vis absorption, and improved photothermal conversion under solar irradiation. Achieving stable dispersion of graphite flakes (GFs) in aqueous media remains a critical challenge in developing ...
Ahmad Chehade   +3 more
wiley   +1 more source

The Exact Solution of the Fractional Burger’s Equation using the Modified Homogeneous Balance Method

open access: yesScientific African
In this paper, the Modified Homogeneous Balance Method, which is embedded with a fractional Riccati equation, is used to find exact solutions to the fractional Burger’s equation.
Francis Tuffour   +3 more
doaj   +1 more source

A New Method for Riccati Differential Equations Based on Reproducing Kernel and Quasilinearization Methods

open access: yesAbstract and Applied Analysis, 2012
We introduce a new method for solving Riccati differential equations, which is based on reproducing kernel method and quasilinearization technique. The quasilinearization technique is used to reduce the Riccati differential equation to a sequence of ...
F. Z. Geng, X. M. Li
doaj   +1 more source

On the exact solution of the matrix Riccati differential equation* [PDF]

open access: yesIFAC Proceedings Volumes, 2011
Abstract In this paper we establish explicit closed formulae for the solution of the matrix Riccati differential equation (RDE) with a terminal condition that that involve particular solutions of the associated algebraic Riccati equation. We discuss how these formulae change as assumptions are progressively weakened.
NTOGRAMATZIDIS L, FERRANTE, AUGUSTO
openaire   +2 more sources

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

open access: yesMathematical 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   +2 more
wiley   +1 more source

New exact solutions for Kudryashov–Sinelshchikov equation

open access: yesAdvances in Difference Equations, 2018
In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G $\frac{G'}{G}$-polynomial expansion method to the Riccati equation.
Junliang Lu
doaj   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar   +3 more
wiley   +1 more source

Inertial‐Based LQG Control: A New Look at Inverted‐Pendulum Stabilization

open access: yesInternational Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Linear‐quadratic Gaussian (LQG) control is a well‐established method for optimal control through state estimation, particularly in stabilizing an inverted pendulum on a cart. In standard laboratory setups, sensor redundancy enables direct measurement of configuration variables using displacement sensors and rotary encoders. However, in outdoor
Daniel Engelsman, Itzik Klein
wiley   +1 more source

Suboptimal Model Predictive Control With a Computation Governor: Stability, Recursive Feasibility, and Applications to Alternating Direction Method of Multipliers

open access: yesOptimal Control Applications and Methods, EarlyView.
Computational governor is shown which simultaneously adjusts the reference and adjusts the constraints. ABSTRACT The paper considers a computational governor strategy to facilitate the implementation of Model Predictive Control (MPC) based on inexact optimization when the time available to compute the solution may be insufficient.
Steven van Leeuwen, Ilya Kolmanovsky
wiley   +1 more source

Riccati equation perspective on Landau-Zener transitions

open access: yesPhysical Review Research
We express the dynamics of the two probability amplitudes in the elementary Landau-Zener problem in terms of the solution of the corresponding Riccati differential equation and identify three key features: (i) The solution of the Riccati equation ...
Eric P. Glasbrenner   +3 more
doaj   +1 more source

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