Partial Differential Equations in Applied Mathematics最新文献

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

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

Analytical dynamics to the interactions of a diffusive mussel–algae model

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

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

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

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

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

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

Traveling and soliton waves and their characteristics in the extended (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-06 DOI: 10.1016/j.padiff.2025.101146

Islam Samir , Hamdy M. Ahmed , Homan Emadifar , Karim K. Ahmed

引用次数: 0

A time fractional advection-diffusion approach to air pollution: Modeling and analyzing pollutant dispersion dynamics

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-06 DOI: 10.1016/j.padiff.2025.101149

Shankar Pariyar , Bishnu P. Lamichhane , Jeevan Kafle

{"title":"A time fractional advection-diffusion approach to air pollution: Modeling and analyzing pollutant dispersion dynamics","authors":"Shankar Pariyar , Bishnu P. Lamichhane , Jeevan Kafle","doi":"10.1016/j.padiff.2025.101149","DOIUrl":"10.1016/j.padiff.2025.101149","url":null,"abstract":"<div><div>In this work, we investigate the dynamics of pollutant dispersion using a one-dimensional time-fractional advection-diffusion equation with the Caputo fractional derivative to predict air pollution levels. The focus is on pollutants such as <span><math><msub><mrow><mi>NH</mi></mrow><mrow><mn>3</mn></mrow></msub></math></span>, <span><math><mi>CO</mi></math></span>, and <span><math><msub><mrow><mi>CO</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>, Dirichlet boundary conditions applied in homogeneous and heterogeneous environments. Numerical simulations are performed using the Grünwald–Letnikov method to discretize the fractional derivative, and analytical solutions are obtained through eigenfunction expansion. Results demonstrate that both numerical and analytical approaches accurately capture pollutant behavior, graphical visualizations illustrate concentration profiles and the impact of varying diffusivities. This work enhances the understanding of contaminant dispersion by addressing complex boundary conditions, integrating variable diffusivity, and employing fractional time derivatives. The combination of these methodologies highlights the benefits of using fractional models while visual analysis underscores their utility for improved pollution control and environmental management.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101149"},"PeriodicalIF":0.0,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143591891","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 reliable algorithm for solving higher order schrödinger equations with enhanced convergence

Partial Differential Equations in Applied Mathematics Pub Date : 2025-03-01 DOI: 10.1016/j.padiff.2025.101147

Sita Charkrit

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