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New Traveling Wave Solutions to the Simplified Modified Camassa–Holm Equation and the Landau-Ginsburg-Higgs Equation 简化的修正卡马萨-霍尔姆方程和朗道-金斯堡-希格斯方程的新游波解法
Pub Date : 2024-03-25 DOI: 10.3329/dujs.v72i1.71029
Md Sagib, Bishnu Pada Ghosh, Nepal Chandra Roy
Researchers are interested in the (1+1)-dimensional Camassa-Holm and Landau-Ginzburg-Higgs equations as they allow for the study of unidirectional wave propagation in shallow waters with a flat seabed, as well as nonlinear media exhibiting dispersion systems and superconductivity. This work has effectively developed exact wave solutions to the stated models, which may have significant consequences for characterising the nonlinear dynamical behaviour related to the phenomena. The extended -expansion technique is employed to procure a diverse array of progressive wave solutions characterized by hyperbolic, trigonometric, and rational functions. The solutions are shown as 3D profiles with a variety of shapes, including kink, singular kink, periodic, singular periodic, etc. The physical significance of the solutions is discussed by these plots, and the approach used in this study is considered efficient and capable of finding analytical solutions for the nonlinear models.Dhaka Univ. J. Sci. 72(1): 7-13, 2024 (January)
研究人员对 (1+1)-dimensional Camassa-Holm 和 Landau-Ginzburg-Higgs 方程很感兴趣,因为这两个方程可用于研究浅海平底水域的单向波传播,以及表现出色散系统和超导性的非线性介质。这项工作有效地开发了所述模型的精确波解,这可能会对描述与这些现象相关的非线性动力学行为产生重大影响。利用扩展-展开技术,获得了一系列以双曲函数、三角函数和有理函数为特征的渐进波解。这些解以三维剖面显示,具有各种形状,包括扭结、奇异扭结、周期、奇异周期等。这些图讨论了解的物理意义,并认为本研究中使用的方法非常有效,能够找到非线性模型的解析解:7-13, 2024 (January)
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引用次数: 0
Comparing ARIMA, Neural Network and Hybrid Models for Forecasting Fish Production in Bangladesh 比较 ARIMA、神经网络和混合模型对孟加拉国渔业产量的预测作用
Pub Date : 2024-03-25 DOI: 10.3329/dujs.v72i1.71192
Maisha Binte Saif, Murshida Khanam
Time series forecasting is a commonly applied method for scientific predictions. There are several econometric methods for forecasting time series observations and predicting the systematic pattern of underlying data. ARIMA model is most renowned in this aspect for its linearity. Nowadays a machine learning model namely artificial neural network (ANN) is gaining popularity for its nonlinear characteristics. Inconsistent conclusions may frequently be drawn when evaluating whether ARIMA models or neural networks are better at forecasting future events. For this reason, a hybrid methodology has been established in this study to get advantage from both linear and nonlinear modeling. The annual dataset of fish production in Bangladesh from 1990 to 2020 has been evaluated in this case. Formulating three measurement errors, RMSE, MAE and MAPE it has been demonstrated that the hybrid approach has high level of forecasting accuracy than the other two models in forecasting fish production data.Dhaka Univ. J. Sci. 72(1): 71-76, 2024 (January)
时间序列预测是一种常用的科学预测方法。有多种计量经济学方法可用于预测时间序列观测数据和预测基础数据的系统模式。在这方面,ARIMA 模型因其线性而最为著名。如今,一种机器学习模型,即人工神经网络(ANN),因其非线性特征而越来越受欢迎。在评估是 ARIMA 模型还是神经网络更擅长预测未来事件时,经常会得出不一致的结论。因此,本研究建立了一种混合方法,以获得线性和非线性建模的优势。在本案例中,对 1990 年至 2020 年孟加拉国渔业生产的年度数据集进行了评估。结果表明,在预测渔业产量数据时,混合方法比其他两种模型具有更高的预测精度:71-76, 2024 (January)
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引用次数: 0
Covid-19 Pandemic and Pre-pandemic Economic Shocks to Brazil, India, and Mexico: A Forecast Comparison Evaluating the Impact and Recovery Covid-19 大流行和大流行前对巴西、印度和墨西哥的经济冲击:评估影响和恢复的预测比较
Pub Date : 2024-03-25 DOI: 10.3329/dujs.v72i1.71176
Haydory Akbar Ahmed, R. J. Tamanna, Md. Israt Rayhan, Ishizaka Takami
The covid-19 pandemic and the pre-pandemic internal-external economic shocks have inflicted the economies of Brazil, India, and Mexico. In this research, we hypothesize that both the shocks and pandemic perpetrated these economies. We employ the artificial neural network model to forecast GDP, consumption spending, and consumption to GDP ratio for these three economies over three cut-offs in 2016, 2019, and 2020. Our comparison of actual values with the forecasts over these three cut-offs shows that the pre-pandemic shocks have an impact albeit smaller than the pandemic. During the pandemic, we observed a V-shaped slump followed by recovery for both GDP, consumption spending, and consumption to GDP ratio. The Brazil and Indian economy’s recovery is perhaps weak. The Indian economy is going through a deeper slump in the post-pandemic era. We recommend cash transfer to low and low-middle income households to spur consumption spending and economic recovery.Dhaka Univ. J. Sci. 72(1): 14-23, 2024 (January)
科维德-19 大流行病和大流行病前的内外经济冲击对巴西、印度和墨西哥的经济造成了影响。在本研究中,我们假设冲击和大流行病都对这些经济体造成了影响。我们采用人工神经网络模型预测了这三个经济体在 2016 年、2019 年和 2020 年三个分界线上的国内生产总值、消费支出和消费与国内生产总值的比率。我们对这三个分界线的实际值和预测值进行了比较,结果表明,大流行前的冲击虽然比大流行时的冲击小,但也产生了影响。在大流行病期间,我们观察到国内生产总值、消费支出和消费与国内生产总值的比率都出现了 V 型下滑,随后出现复苏。巴西和印度经济的复苏可能较弱。印度经济在大流行后的时期经历了更深的衰退。我们建议对低收入和中低收入家庭进行现金转移,以刺激消费支出和经济复苏:14-23, 2024 (January)
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引用次数: 0
Synthesis and Characterization of Vanadium Doped Hexagonal Rubidium Tungsten Bronze 掺钒六方铷钨青铜的合成与表征
Pub Date : 2024-03-25 DOI: 10.3329/dujs.v72i1.71194
H. Simol, Istiak Hossain, T. Debnath, P. K. Bakshi, R. A. Jahan, Claus H Ruscher, Altaf Hussain
Attempts have been made to synthesize vanadium doped rubidium hexagonal tungsten bronzes with the nominal composition RbxVyW1-yO3 (x = 0.30, 0.25, and 0.0 ≤ y ≤ x). The samples were synthesized using the solid state synthesis method in a silica glass tube under vacuum at (10-2 Torr) 700°C. The X-ray diffraction measurements reveal that a pure hexagonal tungsten bronze (HTB) phase can be formed with a 60% replacement of W5+ by V5+. The systematic incorporation of vanadium into the HTB lattice, as well as the reduction of V/W-O bond lengths in the xy plane and the lengthening of these bonds in the crystallographic c direction, are also revealed by Rietveld structure refinement of XRD data. The XRD results are supported by FTIR absorption spectra of the oxidized phases. Furthermore, an absorption signature develops as a function of y and exhibits a considerable increase in intensity with the eventual replacement of W5+ by V5+, showing a large decrease in the metallic like contribution and revealing the compounds' nonmetallic nature. Elemental analysis indicates good agreement with nominal values, demonstrating that vanadium was systematically incorporated into the RbxVyW1-yO3 system.Dhaka Univ. J. Sci. 72(1): 77-84, 2024 (January)
我们尝试合成了掺钒铷六方钨青铜,其标称成分为 RbxVyW1-yO3(x = 0.30、0.25 和 0.0 ≤ y ≤ x)。样品是在 700°C 的真空(10-2 托)条件下,在硅玻璃管中用固态合成法合成的。X 射线衍射测量结果表明,只要用 V5+ 替代 60% 的 W5+,就能形成纯六方钨青铜(HTB)相。X 射线衍射数据的里特维尔德结构细化也揭示了钒在 HTB 晶格中的系统性结合,以及 V/W-O 键在 xy 平面上长度的减少和这些键在晶体学 c 方向上长度的延长。氧化相的傅立叶变换红外吸收光谱支持 XRD 结果。此外,随着 W5+ 最终被 V5+ 取代,吸收特征随 y 的变化而发展,强度显著增加,这表明类似金属的贡献大大降低,并揭示了化合物的非金属性质。元素分析表明与标称值十分吻合,表明钒被系统地掺入到 RbxVyW1-yO3 体系中:77-84, 2024 (January)
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引用次数: 0
Preparation and Characterization of Porous Carbon Material from Banana Pseudo-Stem 利用香蕉假茎制备多孔碳材料并确定其特性
Pub Date : 2024-03-25 DOI: 10.3329/dujs.v72i1.71190
Md Mahmudur Rahman, Md Enamul Kabir, Md. Mominul Islam, Md Abu Bin Hasan Susan, Muhammed Shah Miran
In this work, pseudo-stem of a banana plant was used as a sustainable and affordable source to prepare porous carbon materials (PCM) on a large scale. After fine treatment, the material was annealed at 500, 600, and 700 °C using a tube furnace under nitrogen flow. The prepared materials were characterized by Fourier transform infrared (FT-IR) spectroscopy, X-ray diffraction (XRD), scanning electron microscopy (SEM), transmission electron microscopy (TEM), and X-ray photoelectron spectroscopy (XPS). FT-IR spectra show that the broad peak at the range of 1110-1160 cm-1 comes from the superimposed peaks of C-N for a single or more than one functional group which debunks the possibility of generating nitrogen-doped carbon. TEM and SEM analyses confirmed the porous structure of PCM with the pores connected to one, and a spongy structure was observed in the prepared carbon material. XRD analysis revealed that the carbon materials are crystalline. XPS investigation provided information regarding the dimension of which elements are present in the valence states and constituent elements, depicting the presence of a dominant graphitic C1speak at approximately 284 eV, along with a distinct O1s peak at around 532 eV. Additionally, a relatively weaker N1s peak (approximately 400 eV) was observed.Dhaka Univ. J. Sci. 72(1): 63-70, 2024 (January)
在这项工作中,香蕉假茎作为一种可持续且经济实惠的来源被用来大规模制备多孔碳材料 (PCM)。材料经过精细处理后,在氮气流下使用管式炉在 500、600 和 700 °C 下进行退火。制备的材料通过傅立叶变换红外光谱(FT-IR)、X 射线衍射(XRD)、扫描电子显微镜(SEM)、透射电子显微镜(TEM)和 X 射线光电子能谱(XPS)进行了表征。傅立叶变换红外光谱显示,1110-1160 cm-1 范围内的宽峰来自单个或多个官能团的 C-N 叠加峰,这推翻了生成掺氮碳的可能性。TEM 和 SEM 分析证实了 PCM 的多孔结构,孔隙连成一体,并且在制备的碳材料中观察到海绵状结构。XRD 分析表明,碳材料是晶体。XPS 研究提供了元素价态和组成元素的维度信息,显示在大约 284 eV 处存在一个主要的石墨 C1s 峰,以及在大约 532 eV 处存在一个明显的 O1s 峰。此外,还观察到一个相对较弱的 N1s 峰(约 400 eV):63-70,2024 年(1 月)
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引用次数: 0
Proposing a New Estimator of Overdispersion for Multinomial Data 为多项式数据提出一种新的过度分散估计器
Pub Date : 2024-03-25 DOI: 10.3329/dujs.v72i1.71247
Farzana Afroz
The classical approach of estimating overdispersion parameter, Φ, by Pearson's goodness of fit statistic is not appropriate when the data are sparse. We have considered several estimators of Φ, derived from the Pearson's statistic and the deviance statistic for multinomial data. The proposed estimator of Φ depending on the deviance statistic is shown to perform the best for increasing level of sparsity and overdispersion, regarding the root mean squared error. As a practical example dead recovery data collected on Herring gulls from Kent Island, Canada are considered. A parametric extra variation model finite mixture distribution is used in the simulation study.Dhaka Univ. J. Sci. 72(1): 56-62, 2024 (January)
当数据稀疏时,通过皮尔逊拟合优度统计来估计超离散参数 Φ 的经典方法并不合适。我们考虑了几种从皮尔逊统计量和多项式数据偏差统计量推导出的 Φ 估计器。结果表明,在均方根误差方面,根据偏差统计量提出的 Φ 估计器在稀疏度和超分散度不断增加的情况下表现最佳。以加拿大肯特岛收集的鲱鸥死亡恢复数据为例进行说明。模拟研究中使用了参数额外变化模型有限混合分布:56-62, 2024 (January)
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引用次数: 0
Analyzing Correlated Road Accident Count Data Using Zero Truncated Bivariate Poisson Regression Model 使用零截断双变量泊松回归模型分析相关道路事故计数数据
Pub Date : 2024-03-25 DOI: 10.3329/dujs.v72i1.71181
Trishna Saha, A. Sajib
This paper aims to determine the significant factors which influence two correlated count responses, namely the total number of cars involved in an accident and the total number of fatalities due to that accident, of United Kingdom (UK) road accident count data. The bivariate Poisson (BVP) of two different forms and zero truncated bivariate Poisson regression (ZTBVP) models are considered to analyze UK road accident count data and the best model is selected based on the AIC and BIC values. From the data analysis, it is observed that the ZTBVP model provides the best fit (AIC value: 20563.26) for the UK road accident count data compared to all two variants of the BVP model (AIC value: >20563.26). From the results obtained from ZTBVP model, it is also observed that sex of driver, area, serious severity, and light condition are the significant covariates for the total number of cars involved in an accident while area, fatal severity, serious severity, light condition and year 2021 are the significant covariates for the total number of fatalities due to that accident.Dhaka Univ. J. Sci. 72(1): 24-29, 2024 (January)
本文旨在确定影响英国(UK)道路事故计数数据中两个相关计数响应(即事故车辆总数和事故死亡总人数)的重要因素。在分析英国道路事故计数数据时,考虑了两种不同形式的双变量泊松(BVP)模型和零截断双变量泊松回归(ZTBVP)模型,并根据 AIC 值和 BIC 值选出了最佳模型。从数据分析中可以看出,与 BVP 模型的所有两个变体(AIC 值:>20563.26)相比,ZTBVP 模型对英国道路事故数量数据的拟合效果最好(AIC 值:20563.26)。从 ZTBVP 模型得出的结果还可以看出,驾驶员性别、地区、严重程度和灯光条件是事故车辆总数的重要协变量,而地区、致命严重程度、严重程度、灯光条件和 2021 年是事故死亡总人数的重要协变量:24-29, 2024 (January)
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引用次数: 0
Application of Stochastic Programming in Agricultural and Newsvendor Problems and It's Application in Real Life 随机编程在农业和新闻供应商问题中的应用及其在现实生活中的应用
Pub Date : 2024-03-25 DOI: 10.3329/dujs.v72i1.71183
Afsana Akter Mitu, M. B. Hasan
The study of making the best decision under risk management in a variety of areas of our lives is known as Stochastic Programming. We will go through two-stage Stochastic Linear Programming approaches for a variety of real-world choice issues, as well as how to solve them. We will achieve this by constructing stochastic linear programming models based on real-world situations like the well-known Farmer's situation and News Vendors problems. The influence of pricing, Stochastic Integer Linear Programming problem, second stage Stochastic Integer Linear Programming problem, first stage Stochastic Binary Linear Programming problem, risk aversion problem, and continuous function for random variables based on two-stage SLP with the aid of Farmer's problem will all be examined. We will address the Newsvendor’s problem with Deterministic Equivalent Stochastic Linear Programming, an extension of Deterministic Stochastic Linear Programming for risk aversion with a high number of decision variables and restrictions, utilizing the two-stage Stochastic Linear Programming approach once more. Hand calculation is a challenging way to acquire the solution to the problems. As a result, we will use the programming language AMPL to design computer solutions for tackling both farmer and newsvendor difficulties. We will also utilize MATLAB to create graphs for the farmer's problem's continuous function.Dhaka Univ. J. Sci. 72(1): 30-45, 2024 (January)
在我们生活的各个领域中,研究如何在风险管理的情况下做出最佳决策,这就是所谓的随机程序设计(Stochastic Programming)。我们将通过两阶段随机线性规划方法来解决现实世界中的各种选择问题,以及如何解决这些问题。为此,我们将根据现实世界中的各种情况,如众所周知的农民问题和新闻供应商问题,构建随机线性规划模型。定价的影响、随机整数线性规划问题、第二阶段随机整数线性规划问题、第一阶段随机二元线性规划问题、风险规避问题以及基于两阶段随机整数线性规划并借助农民问题的随机变量连续函数都将得到研究。我们将再次利用两阶段随机线性规划方法,用确定性等效随机线性规划来解决新闻供应商问题,这是确定性随机线性规划的扩展,用于解决具有大量决策变量和限制条件的风险规避问题。手算是获取问题解决方案的一种具有挑战性的方法。因此,我们将使用编程语言 AMPL 设计计算机解决方案,以解决农民和新闻供应商的难题。我们还将利用 MATLAB 为农民问题的连续函数创建图形:30-45, 2024 (January)
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引用次数: 0
Phytochemical Investigation and Biological Studies of Coffea benghalensis B. Heyne Ex Schult Coffea benghalensis B. Heyne Ex Schult 的植物化学调查和生物学研究
Pub Date : 2024-03-25 DOI: 10.3329/dujs.v72i1.71197
Mohammad Mohsin, Umme Muslima, Sadia Afrin Chhanda, T. Muslim
The qualitative phytochemical screening of leaves and stems of Coffea benghalensis B. Heyne Ex Schult showed the presence of saponins, flavonoids, steroids, and cardiac glycoside. Stigmasterol, 1, 3- stearyl-oleyl-glyceride and stigmasterol glucoside were isolated and characterized from the dichloromethane extract of this plant leaves and stems by chromatographic and spectroscopic methods. Total caffeine content per hundred grams was estimated. Fatty acids were analyzed quantitatively by GLC. Total antioxidant capacity and antimicrobial activity of the plant leaves and stems extract were studied.Dhaka Univ. J. Sci. 72(1): 92-97, 2024 (January)
对 Coffea benghalensis B. Heyne Ex Schult 的叶和茎进行的定性植物化学筛选显示,其中含有皂苷、黄酮类、甾体和强心苷。通过色谱和光谱方法,从该植物叶和茎的二氯甲烷提取物中分离并鉴定了豆甾醇、1,3-硬脂酰-油酰-甘油酯和豆甾醇葡萄糖苷。对每百克中咖啡因的总含量进行了估算。脂肪酸采用 GLC 法进行定量分析。研究了植物叶和茎提取物的总抗氧化能力和抗菌活性:92-97, 2024 (January)
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引用次数: 0
Numerical Analysis of Various Types of Flows Over NACA 4415 Airfoil NACA 4415 翼面上各类气流的数值分析
Pub Date : 2024-03-25 DOI: 10.3329/dujs.v72i1.71196
Md. Lutfar, Rahman Sarkar, M. Z. I. Bangalee
Because of the high-speed aircrafts, the distance to the other side of the world seems to be closer, as if it were situated just next door. Aerospace engineering has undergone a revolution thanks to research into airfoils. This research work has been focused on analyzing the aerodynamic performances of the NACA 4415 airfoil in turbulent flows while Mach numbers,  and Reynolds numbers,  have been taken into account. The chord length of  and  have been considered for this study. Computational fluid dynamics were employed to determine the lift, drag, and pitching moment forces, as well as their respective non-dimensional coefficients. As a result, maximum lift, moment forces have been found after the  angle of attacks, and stagnation areas are increasing dramatically behind the airfoil, proportion to the increments with the angle of attack. Additionally, the effects of pressure and velocity on every point of the airfoil's surface were studied through the analysis of pressure and velocity contours.Dhaka Univ. J. Sci. 72(1): 85-91, 2024 (January)
因为有了高速飞行的飞机,与地球另一端的距离似乎更近了,仿佛就在隔壁。由于对机翼的研究,航空航天工程经历了一场革命。这项研究工作的重点是分析 NACA 4415 机翼在湍流中的气动性能,同时考虑马赫数和雷诺数。本研究考虑的弦长为 和 。计算流体动力学用于确定升力、阻力和俯仰力矩及其各自的非尺寸系数。结果发现,最大升力和力矩在攻角之后产生,停滞区在机翼后方急剧增大,与攻角的增量成正比。此外,通过分析压力和速度等值线,研究了压力和速度对机翼表面各点的影响:85-91, 2024 (January)
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引用次数: 0
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Dhaka University Journal of Science
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