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Design of intelligent computing solver with Morlet wavelet neural networks for nonlinear predator-prey model

APPLIED SOFT COMPUTING 2023年 134卷

作者： Umar, Muhammad Sabir, Zulqurnain Raja, Muhammad Asif Zahoor Amin, Fazli Saeed, Tareq Sanchez, Yolanda Guerrero Hazara Univ Dept Math & Stat Mansehra Pakistan Natl Yunlin Univ Sci & Technol Future Technol Res Ctr 123 Univ RdSect 3 Yunlin 64002 Taiwan COMSATS Univ Islamabad Dept Elect & Comp Engn Attock Campus Attock 43600 Pakistan King Abdulaziz Univ Fac Sci Dept Math Nonlinear Anal & Appl Math NAAM Res Grp Jeddah 21589 Saudi Arabia Univ Murcia Dept Dermatol Stomatol Radiol & Phys Med Murcia Spain Lebanese Amer Univ Dept Comp Sci & Math Beirut Lebanon

The design of integrated intelligent computing solver with Morlet wavelet neural networks (MW-NNs) is presented for solving the mathematical predator-prey model by exploiting the strength of MW-NNs modeling, optimization ability of global search with genetic algorithms (GAs) and rapid local search eminence of sequential quadratic programming (SQP), i.e., MW-NNs-GA-SQP. The proposed MW-NNs-GA-SQP scheme is used to analyze the predator-prey dynamics for six different variables coefficient values. The validation, correctness and reliability of the presented MW-NNs-GA-SQP technique is attained through the consistent matched outcomes with the reference Adams numerical results. Moreover, statistics investigations have been accomplished to verify the precision and accuracy of the outcomes with proposed MW-NNs-GA-SQP solver via the performances of Theil's inequality coefficient, Nash Sutcliffe efficiency and mean absolute error.(c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://***/licenses/by-nc-nd/4.0/).

关键词： Predator-prey model Morlet wavelet neural networks sequential quadratic programming Genetic algorithm Intelligent computing Numerical computing

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Design of moth flame optimization heuristics for integrated power plant system containing stochastic wind

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APPLIED SOFT COMPUTING 2021年 104卷 107193-107193页

作者： Khan, Babar Sattar Raja, Muhammad Asif Zahoor Qamar, Affaq Chaudhary, Naveed Ishtiaq Univ Engn & Technol Peshawar Dept Elect Energy Syst Engn USPCAS E Peshawar Khyber Pakhtunk Pakistan COMSATS Univ Islamabad Dept Elect & Comp Engn Campus Attock Attock Pakistan Natl Yunlin Univ Sci & Technol Future Technol Res Ctr 123 Univ RdSect 3 Touliu 64002 Yunlin Taiwan Int Islamic Univ Dept Elect Engn Islamabad Pakistan

In this investigation, nature-inspired heuristic strategy exploiting moth flame optimization (MFO) algorithm combined with active-set algorithm (ASA), interior point algorithm (IPA) and sequential quadratic programming (SQP) are presented to take care of the enhancement issues of economic load dispatch (ELD) problem involving valve point loading effect (VPLE) and stochastic wind (SW). The strength of MFO algorithm is used as a global search mechanism that explore and exploit the entire search space while ASA, IPA and SQP are responsible for refinement of local optimum. The performance of the design system is based on 40 generating units including 37 thermal and 3 wind power units and is evaluated to verify the effectiveness of the scheme. The worth of the design integrated heuristic of MFO algorithm is endorsed through outcomes of the state of the art counterpart solvers in case of ELD problems integrated with wind power units in terms of cost minimization and computational complexity parameters. (C) 2021 Elsevier B.V. All rights reserved.

关键词： Moth flame optimization algorithm sequential quadratic programming Active-set algorithm Interior-point algorithm Economic load dispatch Integrated power systems

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Meyer wavelet neural networks to solve a novel design of fractional order pantograph Lane-Emden differential model

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CHAOS SOLITONS & FRACTALS 2021年 152卷

作者： Sabir, Zulqurnain Raja, Muhammad Asif Zahoor Guirao, Juan L. G. Saeed, Tareq Hazara Univ Dept Math & Stat Mansehra Pakistan Natl Yunlin Univ Sci & Technol Future Technol Res Ctr 123 Univ RdSect 3 Touliu 64002 Yunlin Taiwan Tech Univ Cartagena Hosp Marina Dept Appl Math & Stat Cartagena 30203 Spain King Abdulaziz Univ Fac Sci Dept Math Nonlinear Anal & Appl Math NAAM Res Grp POB 80203 Jeddah 21589 Saudi Arabia

The aim of this study is to design a singular fractional order pantograph differential model by using the typical form of the Lane-Emden model. The necessary details of the singular-point, fractional order and shape factor of the designed model are also provided. The numerical solutions of the designed model have been presented using the combination of the fractional Meyer wavelet (FMW) neural networks (NNs) modeling and optimization of global search with genetic algorithm (GA) supported with local search of sequential quadratic programming (SQP), i.e., FMWNN-GASQP. The strength of FMWNN is employed to design an objective function using the differential model along with its initial conditions of the singular fractional order pantograph model. The optimization of this objective function is performed using the integrated competence of GA-SQP. The verification, perfection and authentication of the singular fractional order pantograph model using fractional Meyer computing solver is observed for different cases through comparative studies from the available exact solutions which endorsed its robustness, convergence and stability. Moreover, the statistics observation with necessary explanations further authenticate the performance of the FMWNN-GASQP in terms of accuracy and reliability. (c) 2021 Elsevier Ltd. All rights reserved.

关键词： Singular fractional order pantograph model Shape factors Meyer wavelet neural models sequential quadratic programming Genetic algorithm Statistical analysis

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Optimal control of thermal and mechanical loads in activation processes of mechanical components

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APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING 2024年第1期32卷

作者： Friedlich, Nicolai Gottschalk, Hanno Vossen, Georg Niederrhein Univ Appl Sci Inst Modelling & High Performance Comp Krefeld Germany Tech Univ Berlin Inst Math Berlin Germany

This paper develops a mathematical framework that aims to control the temperature and rotational speed in the activation process of a gas turbine in an optimal way. These controls influence the deformation and the stress in the component due to centripetal loads and transient thermal stress. An optimal control problem is formulated as the minimization of maximal von Mises stress over a given time and over the whole component. To find a solution for this, we need to solve the linear thermoelasticity and the heat equations using the finite element method. The results for the optimal control as functions of the rotation speed and external gas temperature over time are computed by sequential quadratic programming, where gradients are computed using finite differences. The overall outcome reveals a significant reduction of approximately 10%, from $ 830\,\frac {{\rm N}}{{\rm mm}<^>2} $ 830Nmm2 to $ 750\,\frac {{\rm N}}{{\rm mm}<^>2} $ 750Nmm2, in von Mises stress by controlling two parameters, along with the temporal separation of physical control phenomena.

关键词： Activation of mechanical components optimal control finite element method sequential quadratic programming

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Solving a novel designed second order nonlinear Lane-Emden delay differential model using the heuristic techniques

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APPLIED SOFT COMPUTING 2021年 102卷 107105-107105页

作者： Sabir, Zulqurnain Guirao, Juan L. G. Saeed, Tareq Hazara Univ Dept Math & Stat Mansehra Pakistan Tech Univ Cartagena Hosp Marina Dept Appl Math & Stat Cartagena 30203 Spain King Abdulaziz Univ Fac Sci Dept Math Nonlinear Anal & Appl Math NAAM Res Grp POB 80203 Jeddah 21589 Saudi Arabia

The aim of the present study is to present a new model based on the nonlinear singular second order delay differential equation of Lane-Emden type and numerically solved by using the heuristic technique. Four different examples are presented based on the designed model and numerically solved by using artificial neural networks optimized by the global search, local search methods and their hybrid combinations, respectively, named as genetic algorithm (GA), sequential quadratic programming (SQP) and GA-SQP. The numerical results of the designed model are compared for the proposed heuristic technique with the exact/explicit results that demonstrate the performance and correctness. Moreover, statistical investigations/assessments are presented for the accuracy and performance of the designed model implemented with heuristic methodology. (C) 2021 Elsevier B.V. All rights reserved.

关键词： Delay differential equations Lane-Emden Artificial neural networks Nonlinear Genetic algorithm Statistical analysis sequential quadratic programming

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Optimal Design of Bubble Deck Concrete Slabs: Serviceability Limit State

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MATERIALS 2023年第14期16卷 4897-4897页

作者： Gajewski, Tomasz Staszak, Natalia Garbowski, Tomasz Poznan Univ Tech Inst Struct Anal Piotrowo 5 PL-60965 Poznan Poland Poznan Univ Life Sci Doctoral Sch Wojska Polskiego 28 PL-60637 Poznan Poland Poznan Univ Life Sci Dept Biosyst Engn Wojska Polskiego 50 PL-60627 Poznan Poland

In engineering practice, one can often encounter issues related to optimization, where the goal is to minimize material consumption and minimize stresses or deflections of the structure. In most cases, these issues are addressed with finite element analysis software and simple optimization algorithms. However, in the case of optimization of certain structures, it is not so straightforward. An example of such constructions are bubble deck ceilings, where, in order to reduce the dead weight, air cavities are used, which are regularly arranged over the entire surface of the ceiling. In the case of these slabs, the flexural stiffness is not constant in all its cross-sections, which means that the use of structural finite elements (plate or shell) for static calculations is not possible, and therefore, the optimization process becomes more difficult. This paper presents a minimization procedure of the weight of bubble deck slabs using numerical homogenization and sequential quadratic programming with constraints. Homogenization allows for determining the effective stiffnesses of the floor, which in the next step are sequentially corrected by changing the geometrical parameters of the floor and voids in order to achieve the assumed deflection. The presented procedure allows for minimizing the use of material in a quick and effective way by automatically determining the optimal parameters describing the geometry of the bubble deck floor cross-section. For the optimal solution, the concrete weight of the bubble deck slab was reduced by about 23% in reference to the initial design, and the serviceability limit state was met.

关键词： lightweight structures bubble deck concrete slabs numerical homogenization weight minimization sequential quadratic programming

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A velocity tracking approach for the data assimilation problem in blood flow simulations

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 2017年第10期33卷 n/a-N.PAG页

作者： Tiago, J. Guerra, T. Sequeira, A. ULisboa Dept Math Lisbon Portugal ULisboa CEMAT IST Lisbon Portugal Inst Politecnico Setubal ESTBarreiro Setubal Portugal

Several advances have been made in data assimilation techniques applied to blood flow modeling. Typically, idealized boundary conditions, only verified in straight parts of the vessel, are assumed. We present a general approach, on the basis of a Dirichlet boundary control problem, that may potentially be used in different parts of the arterial system. The relevance of this method appears when computational reconstructions of the 3D domains, prone to be considered sufficiently extended, are either not possible, or desirable, because of computational costs. On the basis of taking a fully unknown velocity profile as the control, the approach uses a discretize then optimize methodology to solve the control problem numerically. The methodology is applied to a realistic 3D geometry representing a brain aneurysm. The results show that this data assimilation approach may be preferable to a pressure control strategy and that it can significantly improve the accuracy associated to typical solutions obtained using idealized velocity profiles.

关键词： blood flow boundary control data assimilation sequential quadratic programming

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Ariane V Ascent Trajectory Optimization with a First-Stage Splash-Down Constraint

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IFAC Proceedings Volumes 1989年第2期22卷 27-32页

作者： K.H. Well DLR German Aerospace Research Establishment Institute for Flight Systems Dynamics Oberpfaffenhofen FRG

The paper describes a numerical approach for determining the optimal ascent trajectory into a geostationary transfer orbit of an ARIANE V type vehicle subject to a first stage splash-down constraint. The control function is angle of attack and for simplicity a planar ascent is considered. By parameterizing the control function and by introducing suitable time transformations the multi-stage system is formulated as a single stage system and solved numerically using sequential quadratic programming. It is concluded that this approach is efficient in terms of computer time and insensitive with respect to modelling weaknesses such as linear interpolation of aero- and thrust data.

关键词： Optimal control parameter optimization sequential quadratic programming aerospace trajectories rocket ascent

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Nonlinear System Identification Tools Applied to the Modelling of Submarine Dynamics

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IFAC Proceedings Volumes 2003年第4期36卷 49-54页

作者： M.E. Furlong G.E. Hearn S.M. Veres E. Rogers School of Engineering Sciences University of Southampton UK Ocean Engineering Division Southampton Oceanography Centre UK Department of Electronics and Computer Science University of Southampton UK

This paper presents initial results on the use of nonlinear systems identification algorithms to estimate the hydrodynamic coefficients in fully coupled, nonlinear submarine motion equations. Parameter identification algorithms rely on the sequential quadratic programming technique. The paper briefly describes the form of the non-linear equations used in the submarine simulation, describes the system identification algorithms developed and then illustrates their application to three test cases of interest. These are based on horizontal motion only and aim to identify the model coefficients in the cases when these are completely unknown, partially known, and partially known but with an error on the known values respectively.

关键词： system identification sequential quadratic programming submarine/AUV hydrodynamic coefficients motion simulation

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Dynamic production optimization for offshore Electric Submersible Pump oilfields based on oil-water two phase virtual flow metering

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PETROLEUM SCIENCE AND TECHNOLOGY 2024年

作者： Bai, Zonghan Kang, Qi Wu, Haihao Gong, Jing China Univ Petr Beijing Peoples R China Tsinghua Univ Tsinghua Univ Shenzhen Dept Automat Res Inst Shenzhen Peoples R China

Enhancing offshore oilfield production is critical, but optimizing production equipment parameters presents significant challenges due to the difficulty in obtaining accurate fluid properties and the necessity for precise equipment models. Multiphase flow calculations depend on preset fluid parameters, which are particularly challenging to determine in offshore environments. This paper proposes a virtual measurement method tailored for reservoir, well, and pipeline network models in offshore oilfields. The approach involves calibrating the Electric Submersible Pump (ESP) model and calculating the viscosity of oil-water emulsions to assess phase separation and fluid water content within the well. By utilizing revised data and production efficiency indicators, the optimal ESP operating frequency is determined to enhance offshore oilfield production. Adjusting the operating parameters based on these calculations enables continuous production optimization until the discrepancy between real-time data and computed results falls within the acceptable accuracy range. This method conserves substantial capital investment, enhances operational efficiency, and significantly boosts enterprise profitability.

关键词： Dynamic production optimization ESP performance analysis offshore oilfield production oil-water phases sequential quadratic programming virtual flow measurement

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