Results 51 to 60 of about 19,415 (207)

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

Scientific 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, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah   +3 more
doaj   +1 more source

A Collocation Method for Solving Fractional Riccati Differential Equation

Journal of Applied Mathematics, 2013
We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term.
Yalçın Öztürk, Ayşe Anapalı, Mustafa Gülsu, Mehmet Sezer   +3 more
doaj   +1 more source

Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation

AIP Advances, 2013
In this article, the generalized Riccati equation mapping together with the basic (G′/G)-expansion method is implemented which is advance mathematical tool to investigate nonlinear partial differential equations.
Hasibun Naher, Farah Aini Abdullah, Syed Tauseef Mohyud-Din   +2 more
doaj   +1 more source

Grassmannian flows and applications to nonlinear partial differential equations

, 2018
We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data.
A Abbondandolo, A Pressley, C Martin, C Pöppe, C Pöppe, C Pöppe, C Pöppe, CA Tracy, FJ Dyson, G Segal, G Wilson, HP McKean, I. Karambal, J Deng, J Schiff, JC Alexander, K Furutani, M Beck, M Reed, M Sato, M. I. Zelikin, MA Guest, Margaret Beck, MJ Ablowitz, NF Britton, Ole Christensen, P Balazs, P Griffiths, PG Drazin, Philippe Blanchard, R Hermann, RK Dodd, RM Miura, RW Brockett, S Bian, T Miwa, V Ledoux, V Ledoux, VE Zakharov, W Bauhardt   +39 more
core   +1 more source

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

IFAC 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 hidden Markov model and reinforcement learning‐based strategy for fault‐tolerant control

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract This study introduces a data‐driven control strategy integrating hidden Markov models (HMM) and reinforcement learning (RL) to achieve resilient, fault‐tolerant operation against persistent disturbances in nonlinear chemical processes. Called hidden Markov model and reinforcement learning (HMMRL), this strategy is evaluated in two case studies
Tamera Leitao, Debaprasad Dutta, Simant R. Upreti   +2 more
wiley   +1 more source

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

Abstract 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

Constructive factorization of LPDO in two variables

, 2005
We study conditions under which a partial differential operator of arbitrary order $n$ in two variables or ordinary linear differential operator admits a factorization with a first-order factor on the left.
A. Loewy, D. Grigoriev, E. A. Kartashova, E. Beke, E. Landau, J. Apel, M. Bronstein, R. Beals, S. P. Tsarev   +8 more
core   +1 more source

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

ENERGY &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, Shoaib Anwer, Md Islam, Eiyad Abu‐Nada   +3 more
wiley   +1 more source

New exact solutions for Kudryashov–Sinelshchikov equation

Advances 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