Boundary Value Problems最新文献

On the combined effects of chemical reaction and nonlinear thermal radiation on natural convection heat and mass transfer over a vertical plate 化学反应和非线性热辐射对垂直板自然对流传热传质的综合影响

IF 1.7 4区数学

Boundary Value Problems Pub Date : 2024-09-19 DOI: 10.1186/s13661-024-01912-9

Gabriel Samaila, Basant K. Jha

{"title":"On the combined effects of chemical reaction and nonlinear thermal radiation on natural convection heat and mass transfer over a vertical plate","authors":"Gabriel Samaila, Basant K. Jha","doi":"10.1186/s13661-024-01912-9","DOIUrl":"https://doi.org/10.1186/s13661-024-01912-9","url":null,"abstract":"The analysis of a laminar boundary layer flow near a vertical plate governed by highly nonlinear thermal radiation and chemical reaction is presented. The Boussinesq approximation is used to predict the nonlinear nature of density variation with temperature and concentration. The plate surface was subjected to the convective surface boundary condition. The partial differential equations relevant to the fluid flow was converted to ordinary differential equations, which were solved using the Runge–Kutta method after employing the shooting procedure. Some major findings are that the radiative heat flux increases the thermal energy within the boundary layer and thereby reduces the fluid viscosity, which gives rise to the velocity profile. At higher chemical reaction applications, the momentum and concentration boundary layer thickness become thinner, whereas thicker for thermal boundary layer. The rate at which the fluid reverses within the boundary increases with chemical reaction parameter. Moreover, the rate of mass transfer within the boundary layer is enhanced with chemical reaction parameters, but the contrary is true for heat transfer from the plate surface into the free stream region. There is an observable increase in the reversible fluid flow within the boundary layer for higher nonlinear density variation with temperature and concentration.","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"96 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142266523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Effects of fractional derivative and Wiener process on approximate boundary controllability of differential inclusion 分数导数和维纳过程对微分包络近似边界可控性的影响

IF 1.7 4区数学

Boundary Value Problems Pub Date : 2024-09-16 DOI: 10.1186/s13661-024-01925-4

Noorah Mshary, Hamdy M. Ahmed, Ahmed S. Ghanem

引用次数: 0

Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency 一类新的参数依赖性非局部椭圆问题正解的存在性和唯一性

IF 1.7 4区数学

Boundary Value Problems Pub Date : 2024-09-12 DOI: 10.1186/s13661-024-01924-5

Chahinez Bellamouchi, Mohamed Karim Hamdani, Salah Boulaaras

引用次数: 0

Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas bubbles 涉及气泡的液体中三维修正非线性波方程的经典和非经典李对称性、分岔分析和雅可比椭圆函数解

IF 1.7 4区数学

Boundary Value Problems Pub Date : 2024-09-12 DOI: 10.1186/s13661-024-01921-8

Farzaneh Alizadeh, Kamyar Hosseini, Sekson Sirisubtawee, Evren Hincal

{"title":"Classical and nonclassical Lie symmetries, bifurcation analysis, and Jacobi elliptic function solutions to a 3D-modified nonlinear wave equation in liquid involving gas bubbles","authors":"Farzaneh Alizadeh, Kamyar Hosseini, Sekson Sirisubtawee, Evren Hincal","doi":"10.1186/s13661-024-01921-8","DOIUrl":"https://doi.org/10.1186/s13661-024-01921-8","url":null,"abstract":"The current paper undertakes an in-depth exploration of the dynamics of nonlinear waves governed by a 3D-modified nonlinear wave equation, a significant model in the study of complex wave phenomena. To this end, the study employs both classical and nonclassical Lie symmetries for rigorously deriving invariant solutions of the governing equation. These symmetries enable the formal construction of exact solutions, which are crucial for understanding the complex behavior of the model. Furthermore, the research extends into the realm of bifurcation analysis through the application of planar dynamical system theory. Such an analysis reveals the conditions under which the 3D-modified nonlinear wave equation admits Jacobi elliptic function solutions. The study also delves into the impact of the nonlinear parameter on the physical characteristics of bright and kink solitary waves as well as continuous periodic waves using Maple. Overall, the comprehensive analysis presented not only enhances the understanding of complex nonlinear wave dynamics but also sets the stage for future advancements in vast areas of fluid dynamics and plasma physics.","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"28 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142197435","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

((mathtt{k},varphi ))-Hilfer fractional Langevin differential equation having multipoint boundary conditions 具有多点边界条件的希尔费分数朗格文微分方程

IF 1.7 4区数学

Boundary Value Problems Pub Date : 2024-09-12 DOI: 10.1186/s13661-024-01918-3

HuiYan Cheng, Naila, Akbar Zada, Ioan-Lucian Popa, Afef Kallekh

引用次数: 0

Some existence results for a nonlinear q-integral equations via M.N.C and fixed point theorem Petryshyn 通过 M.N.C 和定点定理 Petryshyn 得出非线性 q 积分方程的若干存在性结果

IF 1.7 4区数学

Boundary Value Problems Pub Date : 2024-09-11 DOI: 10.1186/s13661-024-01920-9

Hamid Reza Sahebi, Manochehr Kazemi, Mohammad Esmael Samei

引用次数: 0

(C^{1})-Regularity for subelliptic systems with drift in the Heisenberg group: the superquadratic controllable growth 海森堡群中具有漂移的亚椭圆系统的（C^{1}）正则性：超二次可控增长

IF 1.7 4区数学

Boundary Value Problems Pub Date : 2024-09-11 DOI: 10.1186/s13661-024-01917-4

Guoqiang Duan, Jialin Wang, Dongni Liao

引用次数: 0

Utilizing fractional derivatives and sensitivity analysis in a random framework: a model-based approach to the investigation of random dynamics of malware spread 在随机框架中利用分数导数和敏感性分析：基于模型的恶意软件传播随机动态研究方法

IF 1.7 4区数学

Boundary Value Problems Pub Date : 2024-09-11 DOI: 10.1186/s13661-024-01919-2

Zafer Bekiryazici

{"title":"Utilizing fractional derivatives and sensitivity analysis in a random framework: a model-based approach to the investigation of random dynamics of malware spread","authors":"Zafer Bekiryazici","doi":"10.1186/s13661-024-01919-2","DOIUrl":"https://doi.org/10.1186/s13661-024-01919-2","url":null,"abstract":"In this study, an ordinary-deterministic equation system modeling the spread dynamics of malware under mutation is analyzed with fractional derivatives and random variables. The original model is transformed into a system of fractional-random differential equations (FRDEs) using Caputo fractional derivatives. Normally distributed random variables are defined for the parameters of the original system that are related to the mutations and infections of the nodes in the network. The resulting system of FRDEs is simulated using the predictor-corrector method based fde12 algorithm and the forward fractional Euler method (ffEm) for various values of the model components such as the standard deviations, orders of derivation, and repetition numbers. Additionally, the sensitivity analysis of the original model is investigated in relation to the random nature of the components and the basic reproduction number ( $R_{0}$ ) to underline the correspondence of random dynamics and sensitivity indices. Both the normalized forward sensitivity indices (NFSI) and the standard deviation of $R_{0}$ with random components give matching results for analyzing the changes in the spread rate. Theoretical results are backed by the simulation outputs on the numerical characteristics of the fractional-random model for the expected number of infections and mutations, expected timing of the removal of mutations from the network, and measurement of the variability in the results such as the coefficients of variation. Comparison of the results from the original model and the fractional-random model shows that the fractional-random analysis provides a more generalized perspective while facilitating a versatile investigation with ease and can be used on different models as well.","PeriodicalId":49228,"journal":{"name":"Boundary Value Problems","volume":"96 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142197434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An effective numerical method for solving fractional delay differential equations using fractional-order Chelyshkov functions 利用分数阶切利什科夫函数求解分数延迟微分方程的有效数值方法

IF 1.7 4区数学

Boundary Value Problems Pub Date : 2024-09-09 DOI: 10.1186/s13661-024-01913-8

A. I. Ahmed, M. S. Al-Sharif

引用次数: 0

Sinc-Galerkin method and a higher-order method for a 1D and 2D time-fractional diffusion equations 一维和二维时间分形扩散方程的 Sinc-Galerkin 方法和高阶方法

IF 1.7 4区数学

Boundary Value Problems Pub Date : 2024-09-06 DOI: 10.1186/s13661-024-01915-6

Man Luo, Da Xu, Xianmin Pan

引用次数: 0