Partial Differential Equations in Applied Mathematics最新文献_第8页

The Yamada-Ota model-based Casson quadra hybrid nanofluid stagnation flow configured by ohmic heating, heat source, and Newtonian boundary heating across an exponentially stretched cylinder 基于Yamada-Ota模型的Casson quadra混合纳米流体滞流由欧姆加热、热源和牛顿边界加热在指数拉伸圆柱体上配置

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-19 DOI: 10.1016/j.padiff.2025.101159

Tusar Kanti Das , Ashish Paul , Jintu Mani Nath , Neelav Sarma

{"title":"The Yamada-Ota model-based Casson quadra hybrid nanofluid stagnation flow configured by ohmic heating, heat source, and Newtonian boundary heating across an exponentially stretched cylinder","authors":"Tusar Kanti Das , Ashish Paul , Jintu Mani Nath , Neelav Sarma","doi":"10.1016/j.padiff.2025.101159","DOIUrl":"10.1016/j.padiff.2025.101159","url":null,"abstract":"<div><div>An engine oil-driven Yamada-Ota model-based Casson quadra hybrid nanofluid flow, comprising spherical-shaped Silver, Copper, Graphene, and Molybdenum sulfide nanoparticles, is studied over a stretched cylinder in a porous medium. The investigation focuses on enhancing thermal efficiency by incorporating ohmic heating, boundary heating, velocity ratio, viscous dissipation, and heat source effects, which are pivotal for applications in thermal exchangers, bioengineering devices, and material processing. The contrast between Casson fluid and Casson quadra hybrid nanofluid flows is analyzed. Using the bvp4c method, numerical simulations reveal the impact of magnetic fields, inclination angles, porosity, Biot numbers, viscous dissipation, and heat sources on velocity and temperature profiles, tangential stress, and heat transmission rates. Results indicate a noTable 38.4 % enhancement in heat transfer for Casson quadra hybrid nanofluid compared to Casson fluid, attributed to the synergistic properties of the nanoparticles. Thermal profiles are significantly influenced by magnetic effects, inclination, porosity, and boundary heating. The heat transmission rate in the convective region increases with higher values of the Eckert number, heat source, porous factor, and Biot number. Conversely, it decreases as the Casson parameter, Reynolds number, and velocity ratio parameter rise. This study highlights the potential of Casson quadra hybrid nanofluids in improving thermal performance for engineering applications. It suggests future optimization opportunities by selecting suitable nanofluids, adjusting magnetic fields, and modifying system geometry, thus presenting these fluids as effective solutions for advanced heat transfer systems.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101159"},"PeriodicalIF":0.0,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143686869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Significance of slip velocity and viscosity variation on squeezed film couple-stress properties between a rough plate and a cylinder 滑移速度和粘度变化对粗板与圆柱体间挤压膜耦合应力特性的意义

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-19 DOI: 10.1016/j.padiff.2025.101160

Arshiya Kousar K , Salma A , Saja Abdulrahman Althobaiti , Hanumagowda BN , Jagadish V Tawade , Dilsora Abduvalieva , M. Waqas , Mohammed Azeez Saeed , Manish Gupta

{"title":"Significance of slip velocity and viscosity variation on squeezed film couple-stress properties between a rough plate and a cylinder","authors":"Arshiya Kousar K , Salma A , Saja Abdulrahman Althobaiti , Hanumagowda BN , Jagadish V Tawade , Dilsora Abduvalieva , M. Waqas , Mohammed Azeez Saeed , Manish Gupta","doi":"10.1016/j.padiff.2025.101160","DOIUrl":"10.1016/j.padiff.2025.101160","url":null,"abstract":"<div><div>This study examines the impact of surface roughness and viscosity variation on the couple stress squeeze film characteristics between a cylinder and a rough plate with slip velocity. Two distinct one-dimensional roughness patterns—longitudinal and transverse—are considered. Using Christensen's theory, the stochastic modified Reynolds equation is derived for Stokes couple stress fluid, incorporating viscosity variation with pressure. The standard perturbation technique is applied to solve the average Reynolds equation, yielding closed-form expressions for the mean fluid film pressure, load-carrying capacity, and squeeze film time. Various parameters are varied, and the results are discussed through graphical representations in 2D and 3D. This study highlights the importance of viscosity variation, couple stresses, and surface roughness in optimizing squeeze film performance. While increased viscosity and couple stresses enhance load-bearing capacity and film time, slip velocity detracts from these properties. Additionally, surface roughness has a significant impact, with transverse roughness improving, and longitudinal roughness reducing, the squeeze film characteristics. Applications of this study include improving the design and performance of bearing systems, lubrication in mechanical seals, and hydraulic systems where surface roughness and viscosity variation play a significant role in operational efficiency.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101160"},"PeriodicalIF":0.0,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143697710","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analysis of MHD viscous fluid flow under the influence of viscous dissipation force over vertically moving plate with innovative constant proportional Caputo derivative 用创新的常比例Caputo导数分析垂直运动板上黏性耗散力影响下MHD黏性流体的流动

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-19 DOI: 10.1016/j.padiff.2025.101163

Muhammad Kazim, Safder Hussain, Saima Muhammad, Munawwar Ali Abbas

{"title":"Analysis of MHD viscous fluid flow under the influence of viscous dissipation force over vertically moving plate with innovative constant proportional Caputo derivative","authors":"Muhammad Kazim, Safder Hussain, Saima Muhammad, Munawwar Ali Abbas","doi":"10.1016/j.padiff.2025.101163","DOIUrl":"10.1016/j.padiff.2025.101163","url":null,"abstract":"<div><div>In this study, magnetohydrodynamic viscous fluid is considered unsteady and incompressible, considering the effect of inclined magnetic field. Assessing the impact of viscous dissipation force in the fluid, the fractional model is proposed. This scenario has real-world applicability in a variety of scientific and technical domains and incorporates many physical phenomena. Fluid is considered as flowing over a vertically oriented plate moving about its own plane. Constant Proportional Caputo (CPC) derivative operator is obtained while developing the fractional model by transforming the governed equations into a dimensionless form. We solved these transformed equations analytically by employing the technique of Laplace transform and got solutions for momentum equation and energy equation in series form. For computational analysis we employed MATHCAD software and discussed the impact of pertinent parameters on flow. One of the important significances of this study is the use of a new kind of fractional operator, i.e., CPC with power law, and comparing the obtained results with previously published results. This research showed that for greater values of fractional parameters both velocity and temperature profiles reduce while they attain the maximum values for lower values of fractional parameters. Another important significance of this study is the use of viscous dissipation term in the mathematical model. It has also been found that viscous dissipation reduces the fluid temperature. Further, comparison graphs for temperature and velocity profiles are provided to validate our model.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101163"},"PeriodicalIF":0.0,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143697711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A study on fractional-order mathematical and parameter analysis for CAR T-cell therapy for leukemia using homotopy perturbation method 用同伦摄动方法对CAR - t细胞治疗白血病的分数阶数学和参数分析的研究

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-17 DOI: 10.1016/j.padiff.2025.101152

Rezaul Karim , M. Ali Akbar , M. A. Bkar Pk , Pinakee Dey

{"title":"A study on fractional-order mathematical and parameter analysis for CAR T-cell therapy for leukemia using homotopy perturbation method","authors":"Rezaul Karim , M. Ali Akbar , M. A. Bkar Pk , Pinakee Dey","doi":"10.1016/j.padiff.2025.101152","DOIUrl":"10.1016/j.padiff.2025.101152","url":null,"abstract":"<div><div>Leukemia is a malignant blood cancer that originates in the bone marrow is typified by the uncontrolled proliferation of aberrant blood cells. Globally, it is one of the main causes of health issues. In this study, we present a fractional-order four compartmental mathematical model (MM) of leukemia, which includes susceptible blood cells <em>S</em><sub>1</sub>(<em>t</em>), infected blood cells <em>I</em><sub>1</sub>(<em>t</em>), cancer cells <em>C</em><sub>1</sub>(<em>t</em>), and immune blood cells <em>W</em><sub>1</sub>(<em>t</em>), and we analyze the dynamics of transmission of the disease. We use the homotopy perturbation method (HPM) to develop analytical solutions and classical fourth-order Runge-Kutta (RK4) approach to obtain numerical solutions for the mathematical model (MM) of leukemia. Moreover, the concerned solutions which have been found using the methods are compared. For the fractional parameter of α = 0.25, the result shows that the fractional order (FO) model gives better accuracy and stability compared to the conventional integer-order model. For that reason, we emphasize the significance of FO modeling in understanding the spread of leukemia.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101152"},"PeriodicalIF":0.0,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143697706","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analytical dynamics to the interactions of a diffusive mussel–algae model 扩散贻贝-藻类模型相互作用的分析动力学

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-15 DOI: 10.1016/j.padiff.2025.101151

Muhammad Jawaz , Muhammad Shahzad , Nauman Ahmed , Muhammad Zafarullah Baber , Muhammad Iqbal , Ali Akgül

引用次数: 0

Analyzing wave dynamics of Burger–Poisson fractional partial differential equation 伯格-泊松分数阶偏微分方程的波动动力学分析

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-14 DOI: 10.1016/j.padiff.2025.101153

Zeeshan Ali , Abdullah , Kamal Shah , Thabet Abdeljawad , Amjad Ali

{"title":"Analyzing wave dynamics of Burger–Poisson fractional partial differential equation","authors":"Zeeshan Ali , Abdullah , Kamal Shah , Thabet Abdeljawad , Amjad Ali","doi":"10.1016/j.padiff.2025.101153","DOIUrl":"10.1016/j.padiff.2025.101153","url":null,"abstract":"<div><div>This manuscript is related to investigate fractional Burger–Poisson’s partial differential equation (FPBPDE). The aforementioned problem has many applications in wave dynamics. Because the said FPBPDE is widely used in physics, engineering, and solitary theory. More precisely, the applications encompass the study of phenomena such as solitary waves, shock waves, and various nonlinear wave behaviors across diverse physical systems. In this research paper, we have analyzed a fractional order form of the aforesaid problem containing mixed derivatives for its numerical solution. In order to evaluate the proposed problem, we have employed the Adomian decomposition method (ADM) combined with the famous Laplace transform (LT). The significant feature of this combination have been utilized very well which deals with non-linearity during the solution of non-linear differential problems (NDPs). Moreover, the non-linearity in the proposed problem has been reduced through the Adomian polynomial, and LT converts the complex differential equation into a simple algebraic form. Thus, the proposed method offers simple computational work, enabling one to obtain the desired approximate solutions for the considered non-linear FPBPDE. Furthermore, to show the simplicity and authenticity of the proposed method, we provide numerous examples. Finally, the graphical visualization for the obtained approximate solutions has been presented to demonstrate the dynamics of the obtained solutions.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101153"},"PeriodicalIF":0.0,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143637143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamics of the Gierer–Meinhardt reaction–diffusion system: Insights into finite-time stability and control strategies Gierer-Meinhardt反应-扩散系统的动力学：对有限时间稳定性和控制策略的见解

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-08 DOI: 10.1016/j.padiff.2025.101142

Ahmad Qazza , Issam Bendib , Raed Hatamleh , Rania Saadeh , Adel Ouannas

{"title":"Dynamics of the Gierer–Meinhardt reaction–diffusion system: Insights into finite-time stability and control strategies","authors":"Ahmad Qazza , Issam Bendib , Raed Hatamleh , Rania Saadeh , Adel Ouannas","doi":"10.1016/j.padiff.2025.101142","DOIUrl":"10.1016/j.padiff.2025.101142","url":null,"abstract":"<div><div>This study delves into the dynamics of the Gierer–Meinhardt (GM) reaction–diffusion (RD) system, focusing on finite-time stability (FTS) and synchronization (FTSYN) within integer-order spatiotemporal partial differential frameworks. Unlike traditional studies emphasizing asymptotic stability, this work presents novel insights into achieving synchronization and equilibrium within a predefined finite time. By leveraging Lyapunov-based methodologies, sufficient conditions are derived to guarantee FTS and transient behavior control. A synchronization scheme for master–slave systems is developed, ensuring coherent dynamics within a finite time frame. Numerical simulations, employing the finite difference method, validate the theoretical findings and demonstrate the practical applications of the proposed strategies in systems requiring stringent temporal constraints. The results highlight significant advancements in RD modeling, with implications for biological pattern formation, robotics, and distributed networks, paving the way for innovative control solutions in complex dynamical systems.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101142"},"PeriodicalIF":0.0,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143591893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Transient radiative flow of hybrid nanofluid under slip effects over an impermeable spinning disk with porous material 滑移效应下杂化纳米流体在多孔材料不透水旋转盘上的瞬态辐射流动

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-08 DOI: 10.1016/j.padiff.2025.101154

S.R. Mishra , Izharul Haq , Rupa Baithalu , Subhajit Panda , Anwar Saeed

{"title":"Transient radiative flow of hybrid nanofluid under slip effects over an impermeable spinning disk with porous material","authors":"S.R. Mishra , Izharul Haq , Rupa Baithalu , Subhajit Panda , Anwar Saeed","doi":"10.1016/j.padiff.2025.101154","DOIUrl":"10.1016/j.padiff.2025.101154","url":null,"abstract":"<div><div>The hybrid nanofluid flow phenomena show their effective properties in various sectors likely; industries for better production of different products with their shape and size, cooling of electronic devices, drug delivery processes, etc. The present paper deals with the interaction of radiant heat on the flow of a hybrid nanofluid over a spinning disk embedding within a porous medium. The unsteady hybrid nanofluid in association with time-dependent magnetic field, radiant heat energies the flow phenomena. Further, the consideration of slip conditions at the surface has a greater impact on the thermal properties affecting the flow behaviour. The choice of a suitable similarity rule helps in transforming the designed model into set of dimensionless form. The set of nonlinear coupled differential equations are handled numerically via numerical technique. The computation is carried out for the standard values of the characterizing factors involved in the flow phenomena. However, the important observations are; the tangential velocity distribution retards for the increasing velocity slip whereas the axial velocity increases significantly. The fluid temperature augments for the enhanced thermal radiation at all points within the domain.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101154"},"PeriodicalIF":0.0,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143621002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fractional order modeling of dengue transmission dynamics in Bangladesh 孟加拉国登革热传播动力学的分数阶模型

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-08 DOI: 10.1016/j.padiff.2025.101150

Arun Kumar Sikder , Md Hamidul Islam

{"title":"Fractional order modeling of dengue transmission dynamics in Bangladesh","authors":"Arun Kumar Sikder , Md Hamidul Islam","doi":"10.1016/j.padiff.2025.101150","DOIUrl":"10.1016/j.padiff.2025.101150","url":null,"abstract":"<div><div>Over the past three decades, the epidemiological characteristics of dengue fever in Bangladesh have raised significant public health concerns, with the disease progressively spreading across the country’s subtropical and tropical regions since 2004. This study introduces a fractional-order mathematical model that incorporates both human and mosquito populations using Caputo derivatives to account for memory and hereditary effects in disease transmission. Analytical solutions are approximated using the Laplace–Adomian decomposition method, while the Adams–Bashforth-Moulton predictor–corrector (PECE) scheme is applied for numerical solutions. Model parameters are estimated via the maximum likelihood method, using dengue case data from Bangladesh (June 1, 2022–September 30, 2022). Our findings indicate that the fractional-order model effectively captures a range of transmission scenarios, with lower derivative orders correlating with reduced outbreak severity. Moreover, numerical solutions exhibit higher accuracy compared to analytical approximations, particularly for complex nonlinear systems. Additionally, the results suggest that controlling mosquito populations, reducing transmission rates, and improving treatment measures are critical strategies for dengue mitigation.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101150"},"PeriodicalIF":0.0,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143601471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The Fokas method for evolution partial differential equations 演化偏微分方程的Fokas方法

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-08 DOI: 10.1016/j.padiff.2025.101144

A. Chatziafratis , A.S. Fokas , K. Kalimeris

引用次数: 0