Results 21 to 30 of about 268,057 (260)

Inexact Model: A Framework for Optimization and Variational Inequalities [PDF]

, 2020
In this paper we propose a general algorithmic framework for first-order methods in optimization in a broad sense, including minimization problems, saddle-point problems and variational inequalities.
Agafonov, Artem, Dvinskikh, Darina, Dvurechensky, Pavel, Gasnikov, Alexander, Kroshnin, Alexey, Pasechnyuk, Dmitry, Piskunova, Victorya, Stonyakin, Fedor, Tyurin, Alexander   +8 more
core   +3 more sources

New algorithm for the approximate solution of generalized seventh order Korteweg-Devries equation arising in shallow water waves

Results in Physics, 2021
In the present article, we present for the first time optimal auxiliary function method (OAFM) for partial differential equation (PDEs). To find efficient and precision the proposed method, we take Lax’s seventh order korteweg-de Vries (KdV) and seventh ...
Laiq Zada, Rashid Nawaz, Muhammad Ayaz, Hijaz Ahmad, Hussam Alrabaiah, Yu-Ming Chu   +5 more
doaj   +1 more source

On the localized and periodic solutions to the time-fractional Klein-Gordan equations: Optimal additive function method and new iterative method

Open Physics, 2023
This investigation explores two numerical approaches: the optimal auxiliary function method (OAFM) and the new iterative method (NIM). These techniques address the physical fractional-order Klein-Gordon equations (FOKGEs), a class of partial differential
Mukhtar Safyan, Abu Hammad Ma’mon, Shah Rasool, Alrowaily Albandari W., Ismaeel Sherif M. E., El-Tantawy Samir A.   +5 more
doaj   +1 more source

Approximate Solution of Generalized Modified b-Equation by Optimal Auxiliary Function Method

International Journal of Emerging Multidisciplinaries: Mathematics, 2022
In this study, the implantation of a new semi-analytical method called the optimal auxiliary function method (OAFM) has been extended to partial differential equations. The adopted method was tested upon for approximate solution of generalized modified b-equation.
Aatif Ali, Laiq Zada, Rashid Nawaz
openaire   +2 more sources

Practical Realization of Optimal Auxiliary Frequency Control Strategy of Wind Turbine Generator

Journal of Modern Power Systems and Clean Energy, 2022
Adding the auxiliary frequency control function to the wind turbine generator (WTG) is a solution to the frequency security problem of the power system caused by the replacement of the synchronous generator (SG) by the WTG.
Ming Sun, Yong Min, Xuejun Xiong, Lei Chen, Le Zhao, Yuyao Feng, Bingran Wang   +6 more
doaj   +1 more source

Optimal Energy Storage Allocation Strategy by Coordinating Electric Vehicles Participating in Auxiliary Service Market

IEEE Access, 2021
The further liberalization of China’s electricity market encourages demand-side entities to participate in electricity market transactions. Electric vehicles (EVs) are developing rapidly and have high regulating potential, and are the main force ...
Dunnan Liu, Lingxiang Wang, Mingguang Liu, Heping Jia, Hua Li, Weiye Wang   +5 more
doaj   +1 more source

Approximations of Time-Dependent Nonlinear Partial Differential Equations using Galerkin Optimal Auxiliary Function Method

GANIT: Journal of Bangladesh Mathematical Society, 2023
The purpose of this research work is to employ the Optimal Auxiliary Function Method (OAFM) for obtaining numerical approximations of time-dependent nonlinear partial differential equations (PDEs) that arise in many disciplines of science and engineering.
Trisha, Nilormy Gupta, Islam, Md. Shafiqul   +1 more
openaire   +2 more sources

Reinforcement Learning-Based Decentralized Safety Control for Constrained Interconnected Nonlinear Safety-Critical Systems

Entropy, 2023
This paper addresses the problem of decentralized safety control (DSC) of constrained interconnected nonlinear safety-critical systems under reinforcement learning strategies, where asymmetric input constraints and security constraints are considered. To
Chunbin Qin, Yinliang Wu, Jishi Zhang, Tianzeng Zhu   +3 more
doaj   +1 more source

Analytical Solution of System of Volterra Integral Equations Using OHAM

Journal of Mathematics, 2020
In this work, a reliable technique is used for the solution of a system of Volterra integral equations (VIEs), called optimal homotopy asymptotic method (OHAM).
Muhammad Akbar, Rashid Nawaz, Sumbal Ahsan, Dumitru Baleanu, Kottakkaran Sooppy Nisar   +4 more
doaj   +1 more source

Joint design of mismatched filter and unimodular transmit waveform

Xibei Gongye Daxue Xuebao, 2021
To improve the receiver performance, unimodular transmit waveform and mismatched filter are jointly designed by using the alternating direction method of multipliers (ADMM).
Wang Tao, Chen Zihao, Cheng Zhiwei, Deng Xiaobo, Liang Junli, Bai Jianchao   +5 more
doaj   +1 more source