Results 51 to 60 of about 2,466,055 (210)

The Riccati Differential Equation and a Diffusion-Type Equation

open access: yes, 2008
12 pages, no ...
Suazo, Erwin   +2 more
openaire   +3 more sources

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

Acceleration of Oscillational Iterative Process to Solve the Riccati Equation [PDF]

open access: yes, 2020
P(論文)Several methods to solve the Riccati equation are proposed for the optimal regulator problem in modern control theory. In some cases, a solution of the Riccati equation is reached through iterative calculation.
カナマル, ヒデユキ   +1 more
core  

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

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

SOLVING THE FRACTIONAL DIFFERENTIAL RICCATI EQUATION ARISING FROM THE HESTON MODEL WITH NEURAL NETWORKS AND POWER SERIES EXPANSION

open access: yes, 2022
reservedIn my work I explore the fractional differential Riccati equation, which is a particular equation that arises in many different mathematical problems. In particular, It arises in the financial stochastic model of Heston, more precisely, the rough
HU, NICOLA
core  

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

Rosenbrock Methods for Solving Riccati Differential Equations [PDF]

open access: yesIEEE Transactions on Automatic Control, 2013
The Riccati differential equation (RDE) arises in several fields like optimal control, optimal filtering, H∞ control of linear time-varying systems, differential games, etc. In the literature there is a large variety of approaches to compute its solution. Particularly for stiff RDEs, matrix-valued versions of the standard multi-step methods for solving
Peter Benner, Hermann Mena
openaire   +2 more sources

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

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