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On the G'/G Expansion Method Applied to (2+1)-Dimensional Asymmetric-Nizhnik-Novikov-Veselov Equation (2+1)维非对称nizhnik - novikov - veselov方程的G′/G展开法
Pub Date : 2023-09-07 DOI: 10.15377/2409-5761.2023.10.4
S. Mabrouk, A. S. Rashed
In this paper, the  G'/G expansion method is applied to the (2+1)-dimensional Asymmetric-Nizhnik-Novikov-Veselov equation (ANNV). The motivation is creating new families of solitary waves. The system of equations has been combined in one partial differential equation (PDE) and the traveling wave variable has been applied to transform the resultant equation into an ordinary differential equation (ODE). The homogenous balance condition has been applied to determine the truncation variable of the G'/G expansion. Four cases are created according to the appropriate choice of the arbitrary constants relations. For each case, some new solitary wave solutions including solitons and kinks represented by trigonometric, hyperbolic, logarithmic, polynomial, and combinations of these functions.
本文将G′/G展开法应用于(2+1)维非对称nizhnik - novikov - veselov方程(ANNV)。其动机是创造新的孤波族。将该方程组合并为一个偏微分方程,并利用行波变量将结果方程转化为一个常微分方程。采用齐次平衡条件确定了G′/G展开的截断变量。根据任意常数关系的适当选择,创建了四种情况。对于每种情况,一些新的孤波解包括由三角函数、双曲函数、对数函数、多项式函数和这些函数的组合表示的孤子和扭结。
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引用次数: 0
A Conformable Inverse Problem with Constant Delay 一类具有常时滞的适形逆问题
Pub Date : 2023-08-16 DOI: 10.15377/2409-5761.2023.10.3
Auwalu Sa'idu, H. Koyunbakan
This paper aims to express the solution of an inverse Sturm-Liouville problem with constant delay using a conformable derivative operator under mixed boundary conditions. For the problem, we stated and proved the specification of the spectrum. The asymptotics of the eigenvalues of the problem was obtained and the solutions were extended to the Regge-type boundary value problem. As such, a new result, as an extension of the classical Sturm-Liouville problem to the fractional phenomenon, has been achieved. The uniqueness theorem for the solution of the inverse problem is proved in different cases within the interval (0,π). The results in the classical case of this problem can be obtained at α=1.2000 Mathematics Subject Classification. 34L20,34B24,34L30.
本文的目的是在混合边界条件下,用相容导数算子表示具有常延迟的Sturm-Liouville逆问题的解。针对这一问题,我们陈述并证明了频谱的规格。得到了该问题的特征值的渐近性,并将其解推广到regge型边值问题。这样,就得到了一个新的结果,作为经典Sturm-Liouville问题对分数现象的扩展。在区间(0,π)内的不同情况下,证明了反问题解的唯一性定理。经典情况下的结果可以在α=1.2000数学学科分类。34L20,34B24,34L30。
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引用次数: 0
The Electromagnetic Scattering Problem by a Cylindrical Doubly-Connected Domain at Oblique Incidence: An Inverse Problem 斜入射圆柱形双连通区域的电磁散射问题:一个反问题
Pub Date : 2023-08-07 DOI: 10.15377/2409-5761.2023.10.2
Leonidas Mindrinos
In this work, we examine the inverse problem to reconstruct the inner boundary of a cylindrical doubly-connected infinitely long medium from measurements of the scattered electromagnetic wave in the far-field. We consider the integral representation of the solution to derive a non-linear system of equations for the unknown radial function. We propose an iterative scheme using linearization and regularization techniques.
在这项工作中,我们研究了从远场散射电磁波的测量中重建圆柱形双连通无限长介质内边界的反问题。我们考虑解的积分表示来导出一个未知径向函数的非线性方程组。我们提出了一个使用线性化和正则化技术的迭代方案。
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引用次数: 0
Numerical Investigation on Flow-Field Characteristics towards Removal of Free-Water by A Separator with Coalescing Plates 聚结板分离器去除自由水的流场特性数值研究
Pub Date : 2023-05-10 DOI: 10.15377/2409-5761.2023.10.1
Xiangdong Qi, Hongqi Zhang, Xitong Sun, Zhihua Wang
The produced water-containing polymer brings new challenges to oil-water separation in oilfield production, yet separators with coalescing plates to remove free water have been playing an active role. In this paper, the flow-field characteristics of polymer-laden produced water in a separator with coalescing plates are analyzed using computerized mathematical methods to investigate the effects with a water content of 55%, 70%, and 85%, flow rate of 3500 m3/d, 4800 m3/d, and 6000 m3/d, and duration time of 20 min, 40 min, and 60 min on flow-field properties and separating efficiency are studied. The results show that the separating efficiency is positively correlated with water content and duration time, and duration time has the greatest improvement to the separating efficiency, but the enhancement of flow rate may reduce the separating efficiency. It is also observed that the separation efficiency of free-water reached 70.9% and the water content at the oil outlet of the separator reached 20.4% at a duration time of 60 min, when the contained polymer concentration and water content in the oil-water mixture are 500 mg/L and 70%, respectively.
采出含水聚合物给油田生产中的油水分离带来了新的挑战,而聚结板分离游离水的方法一直在发挥着积极的作用。本文采用计算机数学方法分析了含聚结板分离器中含聚合物采出水的流场特性,研究了含水率为55%、70%和85%,流量为3500 m3/d、4800 m3/d和6000 m3/d,持续时间为20 min、40 min和60 min对流场特性和分离效率的影响。结果表明:分离效率与含水率和持续时间呈正相关,持续时间对分离效率的提高最大,但流量的增大可能会降低分离效率。当油水混合物中聚合物浓度为500 mg/L,水含量为70%时,持续时间为60 min,自由水的分离效率可达70.9%,分离器出油口含水量可达20.4%。
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引用次数: 0
The Unique Solution to the Differential Equations of the Fourth Order with Non-Homogeneous Boundary Conditions 具有非齐次边界条件的四阶微分方程的唯一解
Pub Date : 2022-12-30 DOI: 10.15377/2409-5761.2022.09.15
Madhubabu B, N. Sreedhar, K. R. Prasad
This research paper aims to establish the uniqueness of the solution to fourth-order nonlinear differential equationsv(4)(x) + f (x,v(x)) = 0, x ε [a,b],with non-homogeneous boundary conditionswhere 0 ≤ a < ζ < b, the constants α, ???? are real numbers and f : [a,b] x R →R  is a continuous function with f (x, 0] ≠ 0. Using the sharper bounds on the integral of the kernel, the uniqueness of the solution to the problem is established based on Banach and Rus fixed point theorems on metric spaces.AMS Subject Classification: 34B15, 34B10.
本文的目的是建立四阶非线性微分方程v(4)(x) + f (x,v(x)) = 0, x ε [a,b]解的唯一性,具有非齐次边界条件,其中0≤a < ζ < b,常数α, ????为实数,且f: [a,b] x R→R是f (x, 0)≠0的连续函数。基于度量空间上的Banach不动点定理和Rus不动点定理,利用核积分上更锐利的界,建立了问题解的唯一性。学科分类:34B15、34B10。
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引用次数: 0
Recursive Estimation in the Moving Window: Efficient Detection of the Distortions in the Grids with Desired Accuracy 移动窗口中的递归估计:有效检测网格中的畸变并达到所需的精度
Pub Date : 2022-12-28 DOI: 10.15377/2409-5761.2022.09.14
A. Stotsky
The development of fast convergent and computationally efficient algorithms for monitoring waveform distortions and harmonic emissions will be an important problem in future electrical networks due to the high penetration level of renewable energy systems, smart loads, new types of power electronics, and many others. Estimating the signal quantities in the moving window is the most accurate way of monitoring these distortions. Such estimation is usually associated with significant computational loads, which can be reduced by utilizing the recursion and information matrix properties. Rank two update representation of the information matrix allows the derivation of a new computationally efficient recursive form of the inverse of this matrix and recursive parameter update law. Newton-Schulz and Richardson correction algorithms are introduced in this paper to prevent error propagation and for accuracy maintenance. Extensive comparative analysis is performed on real data for proposed recursive algorithms and the Richardson algorithm with an optimally chosen preconditioner. Recursive algorithms show the best results in estimation with ill-conditioned information matrices.
由于可再生能源系统、智能负载、新型电力电子等的高渗透水平,开发用于监测波形畸变和谐波发射的快速收敛和计算效率高的算法将成为未来电网的一个重要问题。估计移动窗口中的信号量是监测这些失真的最准确方法。这种估计通常伴随着大量的计算负荷,可以通过利用递归和信息矩阵特性来减少计算负荷。信息矩阵的二阶更新表示允许推导出一种新的计算效率高的递归形式的逆矩阵和递归参数更新规律。本文介绍了牛顿-舒尔茨和理查德森校正算法,以防止误差传播和保持精度。在实际数据上对所提出的递归算法和理查德森算法进行了广泛的比较分析,并选择了最优预条件。递归算法对病态信息矩阵的估计效果最好。
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引用次数: 1
A Revised Comparison between Fama and French Five-Factor Model and Three-Factor Model——Based on China's A-Share Market 法玛与法国五因素模型与三因素模型的修正比较——基于中国A股市场
Pub Date : 2022-12-07 DOI: 10.15377/2409-5761.2022.09.13
Zhijing Zhang, Yue Yu, Qinghua Ma, H. Yao
In allusion to some contradicting results in existing research, this paper selects China's latest stock data from 2005 to 2020 for empirical analysis. In this paper, the redundant factors (HML, CMA) are orthogonalized, and the regression analysis of the 5*5 portfolio of Size-B/M and Size-Inv is carried out with these two orthogonalized factors. It found that the HML and the CMA are still significant in many portfolios, indicating that they have a strong explanatory ability, which is also consistent with the results of GRS test. All these show that the five-factor model has a better ability to explain the excess return rate. Then, we analyze the possible reasons for the strong explanatory ability of the HML, CMA, and RMW from the aspects of price-to-book ratio, turnover rate, and correlation coefficient. We also explain the results and analyze China's stock market policy changes and investors' investment style in recent years.
针对现有研究中一些矛盾的结果,本文选取2005 - 2020年中国最新股票数据进行实证分析。本文将冗余因子(HML、CMA)正交化,利用这两个正交化因子对Size-B/M和Size-Inv的5*5投资组合进行回归分析。发现HML和CMA在很多组合中仍然显著,说明它们具有较强的解释能力,这也与GRS检验的结果一致。这表明五因素模型对超额收益率有较好的解释能力。然后从市净率、换手率和相关系数三个方面分析了HML、CMA和RMW具有较强解释能力的可能原因。本文还对研究结果进行了解释,并分析了近年来中国股市的政策变化和投资者的投资风格。
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引用次数: 0
Lateral Free Vibration of Micro-Rods Using a Nonlocal Continuum Approach 基于非局部连续体方法的微杆横向自由振动
Pub Date : 2022-10-24 DOI: 10.15377/2409-5761.2022.09.12
F. Xie, Ning Zhang, Cheng Chen, Cheng Li
The lateral free vibration of micro-rods initially subjected to axial loads based on a nonlocal continuum theory is considered. The effects of nonlocal long-range interaction fields on the natural frequencies and vibration modes are examined. A simply supported micro-rod is taken as an example; the linear vibration responses are observed by two different methods, including the separation of variables and multiple scales analysis. The relations between the vibration mode and dimensionless coordinate and the relations between natural frequencies and nonlocal parameters are analyzed and discussed in detail. The numerical comparison shows that the theoretical results by two different approaches have a good agreement, which validates the present micro-rod model that can be used as a component of the micro-electromechanical system.
基于非局部连续介质理论,研究了微杆在初始轴向载荷作用下的横向自由振动问题。研究了非局域远程相互作用场对系统固有频率和振型的影响。以简支微杆为例;采用分离变量法和多尺度分析两种方法对结构的线性振动响应进行了分析。详细分析和讨论了振动模态与无量纲坐标的关系以及固有频率与非局部参数的关系。数值比较表明,两种方法的理论计算结果具有较好的一致性,验证了所建立的微杆模型可以作为微机电系统的组成部分。
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引用次数: 0
Optimization of Tuned Mass Damper for Submerged Floating Tunnel with Frequency-Domain Dynamics Simulation 水下浮式隧道调谐质量阻尼器的频域动力学仿真优化
Pub Date : 2022-10-20 DOI: 10.15377/2409-5761.2022.09.11
Chungkuk Jin, Sung-Jae Kim, MooHyun Kim
In this study, the Tuned Mass Damper (TMD) optimization is carried out to reduce the resonant motion of Submerged Floating Tunnel (SFT) under wave excitations. The SFT dynamics is evaluated in frequency domain; a new approach to cost-effectively optimizing TMD parameters for a moored system is suggested. Discrete-Module-Beam (DMB) method is used to model the Tunnel; mooring lines are included as equivalent stiffness matrix through static-offset tests by the fully coupled model. Since the frequency-domain dynamics simulation model is employed, a significant reduction in optimization time can be achieved. TMD is installed at the tunnel’s mid-length to mitigate the lateral motion of the Tunnel and coupled with the Tunnel with translational and rotational springs and dampers. The optimization process for TMD parameters is performed through the Genetic Algorithm (GA). The GA generates the TMD mass and spring and damping coefficients. The dynamics simulation is performed under wave conditions and this process is repeated until the stopping criteria is satisfied. Results demonstrate that TMD with optimized parameters significantly reduces the lateral motion, especially near the system’s lowest lateral natural frequency. This frequency-domain optimization also works as intended with significantly decreased optimization time.
为了减小沉浮隧道在波浪作用下的共振运动,采用了调谐质量阻尼器(TMD)优化方法。在频域对SFT动力学进行了评估;提出了一种经济有效地优化系泊系统TMD参数的新方法。采用离散模束法(DMB)对隧道进行建模;通过全耦合模型的静偏移试验,将系泊线作为等效刚度矩阵。由于采用了频域动力学仿真模型,优化时间大大缩短。TMD安装在隧道的中段,以减轻隧道的横向运动,并与隧道的平移和旋转弹簧和阻尼器相结合。通过遗传算法(GA)对TMD参数进行优化。遗传算法生成TMD质量系数、弹簧系数和阻尼系数。在波动条件下进行动力学模拟,并重复这一过程,直到满足停止准则。结果表明,优化参数后的TMD显著降低了横向运动,特别是在系统最低横向固有频率附近。这种频域优化也可以按预期工作,大大减少了优化时间。
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引用次数: 0
An Adversarial Approach to Adaptive Model Predictive Control 自适应模型预测控制的对抗方法
Pub Date : 2022-09-19 DOI: 10.15377/2409-5761.2022.09.10
Paweł Wachel, C. Rojas
This paper presents a novel approach to introducing adaptation in Model Predictive Control (MPC). Assuming limited a priori knowledge about the process, we consider a finite set of possible models (a dictionary), and use the theory of adversarial multi-armed bandits to develop an adaptive version of MPC called adversarial adaptive MPC (AAMPC). Under weak assumptions on the dictionary components, we then establish theoretical bounds on the performance of AAMPC and show its empirical behaviour via simulation examples.
提出了在模型预测控制(MPC)中引入自适应的新方法。假设对这一过程的先验知识有限,我们考虑了一组有限的可能模型(字典),并利用对抗性多武装强盗理论开发了一种自适应版本的MPC,称为对抗性自适应MPC (AAMPC)。在对字典组件的弱假设下,我们建立了AAMPC性能的理论界限,并通过仿真示例展示了其经验行为。
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引用次数: 0
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Journal of Advances in Applied &amp; Computational Mathematics
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