Advances in Mathematical Physics最新文献_第10页

A New Fundamental Asymmetric Wave Equation and Its Application to Acoustic Wave Propagation 一个新的基本不对称波动方程及其在声波传播中的应用

IF 1.2 4区物理与天体物理

Advances in Mathematical Physics Pub Date : 2022-11-04 DOI: 10.1155/2023/5736419

Z. Musielak

引用次数: 0

Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface 波浪形垂直表面自由对流流动的倒数导热系数分析

IF 1.2 4区物理与天体物理

Advances in Mathematical Physics Pub Date : 2022-11-02 DOI: 10.1155/2022/6389275

T. Saha, N. Parveen, T. Islam

{"title":"Analysis of Reciprocal Thermal Conductivity on Free Convection Flow along a Wavy Vertical Surface","authors":"T. Saha, N. Parveen, T. Islam","doi":"10.1155/2022/6389275","DOIUrl":"https://doi.org/10.1155/2022/6389275","url":null,"abstract":"The effects of thermal conductivity which depend on temperature are conversely proportional with the linear function of temperature on free convective flow where the fluid is viscous and incompressible along a heated uniform and the vertical wavy surface has been examined in this study. The boundary layer equations with the associated boundary conditions that govern the flow are converted into a nondimensional form by using an appropriate transformation. In the domain of a vertical plate that is flat, the resulting method of nonlinear PDEs is mapped and then worked out numerically by applying the implicit central finite difference technique with Newton’s quasilinearization method, and the block Thomas algorithm is well known as the Keller-box method. The outputs are obtained in the terms of the heat transferring rate, the frictional coefficient of skin, the isotherms, and streamlines. The outcomes showed that the local heat transferring rate, the local skin friction coefficient, the temperature, and the velocity all are decreasing, and both the thermal layer of boundary and velocity become narrower with the rising values of reciprocal variation of temperature-dependent thermal conductivity. On the other hand, the friction coefficient of skin, the velocity, and the temperature decrease where the friction coefficient of skin and velocity decrease by 43% and 64%, respectively, but the heat transfer rate increases by 61% approximately, and both the boundary layer thermal and velocity become thinner when the Prandtl number increases.","PeriodicalId":49111,"journal":{"name":"Advances in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42771492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Symmetry Analysis, Invariant Solutions, and Conservation Laws of Fractional KdV-Like Equation 分数KdV类方程的对称性分析、不变解和守恒定律

IF 1.2 4区物理与天体物理

Advances in Mathematical Physics Pub Date : 2022-10-28 DOI: 10.1155/2022/5825938

Maria Ihsane El Bahi, K. Hilal

引用次数: 1

Stationary Solutions to the Three-Dimensional Compressible Nonisothermal Nematic Liquid Crystal Flows 三维可压缩非等温向列液晶流动的固定解

IF 1.2 4区物理与天体物理

Advances in Mathematical Physics Pub Date : 2022-10-27 DOI: 10.1155/2022/4695308

Wanchen Cui, H. Cai

引用次数: 0

Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method 非线性时滞微分方程的Sumudu迭代近似解析解

IF 1.2 4区物理与天体物理

Advances in Mathematical Physics Pub Date : 2022-10-19 DOI: 10.1155/2022/2466367

Asfaw Tsegaye Moltot, Alemayehu Tamirie Deresse

{"title":"Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method","authors":"Asfaw Tsegaye Moltot, Alemayehu Tamirie Deresse","doi":"10.1155/2022/2466367","DOIUrl":"https://doi.org/10.1155/2022/2466367","url":null,"abstract":"In this study, an efficient analytical method called the Sumudu Iterative Method (SIM) is introduced to obtain the solutions for the nonlinear delay differential equation (NDDE). This technique is a mixture of the Sumudu transform method and the new iterative method. The Sumudu transform method is used in this approach to solve the equation’s linear portion, and the new iterative method’s successive iterative producers are used to solve the equation’s nonlinear portion. Some basic properties and theorems which help us to solve the governing problem using the suggested approach are revised. The benefit of this approach is that it solves the equations directly and reliably, without the prerequisite for perturbations or linearization or extensive computer labor. Five sample instances from the DDEs are given to confirm the method’s reliability and effectiveness, and the outcomes are compared with the exact solution with the assistance of tables and graphs after taking the sum of the first eight iterations of the approximate solution. Furthermore, the findings indicate that the recommended strategy is encouraging for solving other types of nonlinear delay differential equations.","PeriodicalId":49111,"journal":{"name":"Advances in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41364000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Analysis of the Relationship of Video Text and Urban Image Communication Based on the Calculation Method of Wedge Diffraction in Geometrical Optics 基于几何光学楔形衍射计算方法的视频文本与城市图像通信关系分析

IF 1.2 4区物理与天体物理

Advances in Mathematical Physics Pub Date : 2022-10-15 DOI: 10.1155/2022/1528663

Qigan Sun

引用次数: 0

Corrigendum to “Generalization Contractive Mappings on Rectangular b-Metric Space” 对“矩形b-度量空间上的广义压缩映射”的更正

IF 1.2 4区物理与天体物理

Advances in Mathematical Physics Pub Date : 2022-10-14 DOI: 10.1155/2022/9761017

Jayshree Patil, B. Hardan, Ahmed A. Hamoud, A. Bachhav, H. Emadifar, H. Günerhan

引用次数: 2

� A � B � C �

Fractional Derivative for Varicella-Zoster Virus Using Tw 用Tw对水痘-带状疱疹病毒进行A - B - C分数阶导数

IF 1.2 4区物理与天体物理

Advances in Mathematical Physics Pub Date : 2022-10-14 DOI: 10.1155/2022/1725110

Jirong Yang, F. Afzal, Perpetual Appiah

{"title":"<math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\u0000 <mi mathvariant=\"script\">A</mi>\u0000 <mi mathvariant=\"script\">B</mi>\u0000 <mi mathvariant=\"script\">C</mi>\u0000 </math> Fractional Derivative for Varicella-Zoster Virus Using Tw","authors":"Jirong Yang, F. Afzal, Perpetual Appiah","doi":"10.1155/2022/1725110","DOIUrl":"https://doi.org/10.1155/2022/1725110","url":null,"abstract":"Chickenpox or varicella is an infectious disease caused by the varicella-zoster virus \u0000 \u0000 \u0000 \u0000 V\u0000 Z\u0000 V\u0000 \u0000 \u0000 \u0000 . This virus is the cause of chickenpox (usually a primary infection in the nonimmune host) and herpes zoster. In this paper, a compartmental model for the dynamics of \u0000 \u0000 V\u0000 Z\u0000 \u0000 transmission with the effect of vaccination is solved using the \u0000 \u0000 A\u0000 B\u0000 C\u0000 \u0000 fractional derivative. The possibility of using the fractal dimension as a biomarker to identify different diseases is being investigated. The problem is investigated in two different levels of research using two scale dimensions. To ascertain the existence and uniqueness of the solution, we qualitatively evaluate the model. We have used the Euler method to compute the numerical solution for the system. At the end, we provide the graphical results showing the effectiveness of two-scale dimension and fractional calculus in the current model.","PeriodicalId":49111,"journal":{"name":"Advances in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45830090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Application of Virtual Reality Technology and Unsupervised Video Object Segmentation Algorithm in 3D Model Modeling 虚拟现实技术和无监督视频对象分割算法在三维模型建模中的应用

IF 1.2 4区物理与天体物理

Advances in Mathematical Physics Pub Date : 2022-10-13 DOI: 10.1155/2022/4743456

Hui-Lin Yang, Qiuming Liu

引用次数: 0

Video Visualization Technology and Its Application in Health Statistics Teaching for College Students 视频可视化技术及其在大学生健康统计教学中的应用

IF 1.2 4区物理与天体物理

Advances in Mathematical Physics Pub Date : 2022-10-13 DOI: 10.1155/2022/3212014

Chengfei Li, Yuan-long Xie, Shuanbao Li

{"title":"Video Visualization Technology and Its Application in Health Statistics Teaching for College Students","authors":"Chengfei Li, Yuan-long Xie, Shuanbao Li","doi":"10.1155/2022/3212014","DOIUrl":"https://doi.org/10.1155/2022/3212014","url":null,"abstract":"In view of the present situation of “learning difficulty” in health statistics, this paper proposes a video visualization technology based on the convolutional neural network, which updates parameters by calculating the gradient of loss function to obtain accurate or nearly accurate loss function. Taking the students from 2014 to 2017 in a university in Henan as the research object, this paper analyzes the video visualization technology and its application effect on the teaching of college students’ health statistics from the aspects of students’ course awareness, learning behavior, communication between teachers and students, knowledge mastery, and course satisfaction. The results show that the external model load difference between each explicit variable and latent variable is statistically significant. Learning behavior and communication between teachers and students have a direct impact on the mastery of knowledge, and the degree of influence from high to low is as follows: learning behavior and communication between teachers and students. The teaching effect model of health statistics based on video visualization technology of the convolutional neural network has certain practicability.","PeriodicalId":49111,"journal":{"name":"Advances in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44644041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0