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A note on linear recursions 关于线性递归的一个注记
Q1 Mathematics Pub Date : 2023-02-15 DOI: 10.1080/25765299.2022.2157951
S. Wananiyakul, Janyarak Tongsomporn
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引用次数: 0
Lie analysis and laws of conservation for the two-dimensional model of Newell–Whitehead–Segel regarding the Riemann operator fractional scheme in a time-independent variable 关于时间自变量中Riemann算子分式格式的Newell–Whitehead–Segel二维模型的李分析和守恒定律
Q1 Mathematics Pub Date : 2023-02-06 DOI: 10.1080/25765299.2023.2172840
Mohammad Abdel Aal, Omar Abu Arqub
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引用次数: 1
Effects of chemical reaction and activation energy on Marangoni flow, heat and mass transfer over circular porous surface 化学反应和活化能对圆形多孔表面Marangoni流动、传热传质的影响
Q1 Mathematics Pub Date : 2023-01-27 DOI: 10.1080/25765299.2023.2170064
E. Elbashbeshy, M. Fathy, K. M. Abdelgaber
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引用次数: 0
Synthesis and evaluation of newly E-octadec-9-enoic acid derivatives as sustainable corrosion inhibitors for mild steel in 1.0 M HCl 新型E-十八碳-9-烯酸衍生物在1.0M盐酸中对软钢的可持续缓蚀剂的合成与评价
Q1 Mathematics Pub Date : 2023-01-09 DOI: 10.1080/25765299.2022.2164649
Asma M. Elsharif
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引用次数: 1
Adaptation of conformable residual series algorithm for solving temporal fractional gas dynamics models 自适应残差序列算法求解时间分数气体动力学模型
Q1 Mathematics Pub Date : 2022-12-12 DOI: 10.1080/25765299.2022.2044595
Rasha, Amryeen, F. N. Harun, M. Al‐Smadi, A. Alias
Abstract In this paper, we introduced, discussed, and investigated analytical-approximate solutions for nonlinear time fractional gas dynamics equations in terms of conformable differential operator. The proposed algorithm relies upon the conformable power series method and residual error of the generalized Taylor series in terms of the conformable sense. This technique provides analytical solutions in the form of rapid and accurate convergent series in terms of the multiple fractional power series with easily computable components. In this direction, error estimation and convergence analysis for solutions of fractional gas dynamics equations are provided as well. Eventually, several physical examples are tested to justify the theoretical portion and give a clear explanation of dynamic systems for the proposed model for different orders of fractional case The obtained numeric-analytic results indicate that the current algorithm is simple, effective, and profitably dealing with the complexity of many nonlinear fractional dispersion problems.
摘要本文引入、讨论并研究了一类非线性时间分数阶气体动力学方程的适形微分算子的解析近似解。该算法依赖于相容幂级数方法和广义泰勒级数在相容意义上的残差。该技术以快速准确的收敛级数形式提供了具有易计算分量的多重分数阶幂级数的解析解。在此方向上,给出了分数阶气体动力学方程解的误差估计和收敛性分析。最后,通过几个物理实例验证了理论部分的正确性,并对不同阶分数阶情况下所提出模型的动态系统给出了清晰的解释。所得数值分析结果表明,该算法简单、有效,能很好地处理许多复杂的非线性分数阶色散问题。
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引用次数: 3
Modeling and analysis of recovery time for the COVID-19 patients: a Bayesian approach 新冠肺炎患者康复时间的建模与分析:贝叶斯方法
Q1 Mathematics Pub Date : 2022-12-12 DOI: 10.1080/25765299.2022.2148439
Kahkashan Ateeq, Saima Altaf, Muhammad Aslam
The ongoing pandemic of COVID-19 has changed every aspect of life. Most of the people who become a victim of COVID-19 experience mild to moderate symptoms, but some people may become seriously ill. This illness, sometimes, may lead to a very painful death. The Fréchet distribution is one of the flexible distribution for survival time. Hence, in this article, the recovery time of COVID-19 patients is modeled by a new Fréchet-exponential (FE) distribution, and the parameters of the distribution are estimated in the classical and Bayesian paradigms. Since the Bayes estimators using informative priors are not in the closed form, the Lindley and Tierney–Kadane approximation methods are used for their evaluation. The results obtained through simulation studies and the COVID-19 data set assess the superiority of the Bayes estimators over the classical estimators in terms of minimum risks. Mathematically and graphically, it is shown that our proposed model appropriately fits the data set. The minimum values of Akaike information criterion, Bayesian information criterion, corrected Akaike information criterion, and Hannan-Quinn information criterion proves that the FE distribution better fit than the competitors' distribution for the data set about the recovery time of COVID-19 patients. © 2022 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group on behalf of the University of Bahrain.
持续的新冠肺炎大流行改变了生活的方方面面。大多数新冠肺炎患者都会出现轻度至中度症状,但有些人可能会患上严重疾病。这种疾病有时可能会导致非常痛苦的死亡。Fréchet分布是一种灵活的生存时间分布。因此,在本文中,新冠肺炎患者的恢复时间由一个新的Fréchet-exponential(FE)分布建模,并在经典和贝叶斯范式中估计该分布的参数。由于使用信息先验的贝叶斯估计量不是封闭形式的,因此使用Lindley和Tierney–Kadane近似方法进行评估。通过模拟研究和新冠肺炎数据集获得的结果评估了Bayes估计量在最小风险方面优于经典估计量。从数学和图形上看,我们提出的模型适合数据集。Akaike信息准则、Bayesian信息准则、校正Akaike消息准则和Hannan-Quinn信息准则的最小值证明,对于关于新冠肺炎患者康复时间的数据集,FE分布比竞争对手的分布更适合。©2022作者。由Informa UK Limited出版,以Taylor&Francis Group的名义代表巴林大学进行交易。
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引用次数: 2
Microcrystalline cellulose promotes superior direct compressed Boesenbergia rotunda (L.) Mansf. extract tablet properties to spray-dried rice starch and spray-dried lactose 微晶纤维素促进了优质的直接压缩Boesenbergia rotunda(L.)Mansf。喷雾干燥大米淀粉和喷雾干燥乳糖提取片剂的性能
Q1 Mathematics Pub Date : 2022-12-12 DOI: 10.1080/25765299.2022.2153527
Jirapornchai Suksaeree, Chaowalit Monton, Natawat Chankana, L. Charoenchai
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引用次数: 5
Analysis of plastically deformed functionally graded pressurized thick cylinder 功能梯度增压厚筒塑性变形分析
Q1 Mathematics Pub Date : 2022-10-14 DOI: 10.1080/25765299.2022.2132711
M. Belhaou, N. Laghzale, H. Bouzid
Abstract An analytical solution for stresses in a plastically deformed cylinder made of a functionally graded material (FGM) under internal pressure is provided. The cylindrical material is composed of two metal powder particles manufactured using centrifugal casting. While Poisson’s ratio is assumed constant, Young’s modulus is a power function of the radius. The von Mises yield criterion is used under the plane-strain condition. The constitutive material model obeys the Ludwik power law, with the yield strength and work-hardening coefficient as functions of the radius. The stress distributions along the radial direction for the elastic, elasto–plastic field and beyond plastic collapse cases were analyzed. To study the effect on the plastic zone in FGM, in addition to pressure, the gradient index was made to vary from −2 to 2 and different cylinder aspect ratios ranging from 1 up to 3 are considered. A finite-element simulation was run for comparison and validation of the analytical solution. The results showed a good agreement between the two methods.
摘要给出了由功能梯度材料(FGM)制成的塑性变形圆柱体在内压作用下的应力解析解。圆柱形材料由两个使用离心铸造制造的金属粉末颗粒组成。泊松比假定为常数,杨氏模量是半径的幂函数。平面应变条件下采用冯-米塞斯屈服准则。材料本构模型遵循Ludwik幂律,屈服强度和加工硬化系数是半径的函数。分析了弹性、弹塑性场和塑性坍塌以外情况下沿径向的应力分布。为了研究对FGM塑性区的影响,除了压力外,还使梯度指数在−2到2之间变化,并考虑了从1到3的不同圆柱体纵横比。对分析解进行了有限元模拟比较和验证。结果表明,这两种方法有很好的一致性。
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引用次数: 0
Production and physico-chemical characteristics of pyrolyzed bio-oil derived from cow hooves 牛蹄热解生物油的生产及其理化特性
Q1 Mathematics Pub Date : 2022-10-10 DOI: 10.1080/25765299.2022.2129633
J. Chukwuneke, J. E. Sinebe, H. O. Orugba, H. Olisakwe, C. Ajike
Abstract Pyrolysis is becoming increasingly popular as a method of producing liquid yield from biomass. It has the potential to help build a sustainable renewable fuel market while simultaneously maintaining environmental sustainability. In the present study, cow hooves are pyrolyzed in a fixed-bed batch reactor to investigate product dispersion and determine optimal temperature parameters for optimizing pyrolysis oil yield. Temperature effects on the distribution, elemental content, and physical qualities of major pyrolysis products, such as pyrolysis oil and bio-char, are investigated. At a pyrolysis temperature of 500 °C, the maximum pyrolysis oil production was found to be 50.50 wt%, with the amount of bio-char excluding the gas being 27.20 wt%. A CHNS analyzer, Gas chromatography-mass spectrometry (GC-MS), and Fourier-transform infrared (FTIR) spectroscopy are used to investigate the chemical composition of pyrolysis oil generated under optimal conditions. The fuel properties of the pyrolysis oil are also determined, and it was discovered that it has a favourable fire point, flash point, and pour point. The density of the pyrolysis oil was 1.03 kg/L, the viscosity was 10.2 cSt, and the heating value was 22.7 MJ/kg. The FTIR analysis of the pyrolysis oil reveals that it contains functional groups, such as alkene, carboxylic acid, alcohol, ether, and ketone. According to the GC-MS analysis, the principal components are ester (40%), fatty acids (31%), phenol (3.8%) and p-Cresol (2.9%). Unsaturated fatty acids are abundant in the pyrolysis oil from cow hooves, while saturated fatty acids are in short supply. According to the findings of this study, cow hoof pyrolysis oil has the potential to be used as a source of biodiesel.
摘要热解作为一种从生物质中生产液体产品的方法越来越受欢迎。它有潜力帮助建立一个可持续的可再生燃料市场,同时保持环境的可持续性。在本研究中,牛蹄在固定床间歇式反应器中热解,以研究产物的分散性,并确定优化热解油产率的最佳温度参数。研究了温度对热解油和生物炭等主要热解产物的分布、元素含量和物理性质的影响。在500的热解温度下 °C时,发现最大热解油产量为50.50 wt%,不包括气体的生物炭的量为27.20 重量%。采用CHNS分析仪、气相色谱-质谱联用仪(GC-MS)和傅立叶变换红外光谱(FTIR)研究了在最佳条件下生成的热解油的化学成分。测定了热解油的燃料性质,发现其具有良好的燃点、闪点和倾点。热解油的密度为1.03 kg/L,粘度为10.2cSt,热值为22.7 MJ/kg。热解油的FTIR分析表明,热解油含有烯烃、羧酸、醇、醚和酮等官能团。根据GC-MS分析,其主要成分为酯(40%)、脂肪酸(31%)、苯酚(3.8%)和对甲酚(2.9%)。根据这项研究的结果,牛蹄热解油有潜力用作生物柴油的来源。
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引用次数: 2
Green synthesis of gold nanoparticles (AuNPs) using Caulerpa racemosa and evaluation of its antibacterial and cytotoxic activity against human lung cancer cell line 外消旋藻绿色合成金纳米粒子及其对人肺癌癌症细胞株的抗菌和细胞毒活性评价
Q1 Mathematics Pub Date : 2022-10-04 DOI: 10.1080/25765299.2022.2127510
Palaniappan Pitchai, Prabhu Subramani, R. Selvarajan, R. Sankar, Ravikumar Vilwanathan, T. Sibanda
Abstract The present study reports the synthesis of gold nanoparticles (AuNPs) using ‘sea grapes’ (Macroalgae) of Caulerpa racemosa extract in a simple, fast and environmentally friendly biogenic method. The formation of spherical, stable, polycrystalline nanoparticles with an average size of 18–45 nm was demonstrated by UV–vis spectroscopy, SEM, high-resolution transmission electron microscopy and X-ray diffraction measurements. Furthermore, FTIR analysis confirmed the presence of phytochemical constituents in the form of functional groups involved in AuNPs synthesis. Antimicrobial activities confirmed that Gram-negative bacteria, here represented by Escherichia coli, were found to be more sensitive to synthesized AuNPs than Gram-positive bacteria, represented by Staphylococcus aureus. The synthesized nanoparticles also showed cytotoxicity against human lung cancer cells (H460) with an IC50 value of 25 µg/mL. Furthermore, our findings show that AuNPs derived from C. racemosa extract are able to induce apoptosis activation via extrinsic and intrinsic pathways and mitochondrial pathways. These findings lay the groundwork for future research against emerging multi-drug resistant bacterial pathogens, as well as lung cancer treatment.
摘要本研究报道了利用外消旋藻提取物中的“海葡萄”(大型藻类),以一种简单、快速、环保的生物方法合成金纳米颗粒(AuNPs)。形成平均尺寸为18-45的球形、稳定的多晶纳米颗粒 nm通过紫外-可见光谱、扫描电镜、高分辨率透射电子显微镜和X射线衍射测量进行了验证。此外,FTIR分析证实了AuNPs合成中存在以官能团形式存在的植物化学成分。抗菌活性证实,以大肠杆菌为代表的革兰氏阴性菌比以金黄色葡萄球菌为代表的格拉姆阳性菌对合成的AuNPs更敏感。合成的纳米颗粒还显示出对人癌症细胞(H460)的细胞毒性,IC50值为25 µg/mL。此外,我们的研究结果表明,来源于外消旋藻提取物的AuNPs能够通过外源和内源性途径以及线粒体途径诱导细胞凋亡激活。这些发现为未来针对新出现的耐多药细菌病原体的研究以及癌症治疗奠定了基础。
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引用次数: 5
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Arab Journal of Basic and Applied Sciences
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