Partial Differential Equations in Applied Mathematics最新文献

{"title":"Numerical Computation of Magnetohydrodynamic Maxwell fluid flow with mixed convection and heat source effects across an inclined exponential stretching surface","authors":"Manoj Kumar Nahlia ,&nbsp;Sharad Sinha ,&nbsp;K. Loganathan ,&nbsp;Kavita Jat ,&nbsp;Prasun Choudhary","doi":"10.1016/j.padiff.2025.101169","DOIUrl":"10.1016/j.padiff.2025.101169","url":null,"abstract":"<div><div>This article analyzes about the features of magnetohydrodynamic Maxwell fluid flow over an inclined exponential stretching surface, considering the impacts of mixed convection and internal heat source. The flow governing partial differential equations are changed into a system of ordinary differential equations via use of similarity transformations. Runge–Kutta fourth-order approach, coupled with the shooting approach, is used to solve these equations numerically. Key parameters related to this study are investigated to determine their effects on velocity, temperature and concentration distributions through graphical and tabular representations. The results show that the fluid velocity and thermal boundary layer diminishes with enhanced inputs of magnetic field parameter. In addition, the mixed convection and the stretched surface’s inclination angle have a major impact on flow and heat transfer features. The results obtained from two methods are in close agreement and demonstrate the reliability and accuracy of the bvp4c solver in comparison to RK4 method. This study sheds light on various practical aspects such as polymer extrusion and heat transfer in industrial processes. The study also benefits aerospace cooling systems, microfluidic devices and environmental modeling, such as simulating glacier or lava flows. Overall, it offers solutions for advanced thermal regulation and material processing challenges.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101169"},"PeriodicalIF":0.0,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modeling the dynamics of some common reported offenses by the Ghana police service","authors":"Adnan Zakaria ,&nbsp;Shaibu Osman ,&nbsp;Christian John Etwire ,&nbsp;Oluwole Daniel Makinde","doi":"10.1016/j.padiff.2025.101171","DOIUrl":"10.1016/j.padiff.2025.101171","url":null,"abstract":"<div><div>Crime is a universal phenomenon and it affects national development and stability of a country. Crime rate has always been an issue to policy makers and the security agencies globally. Crime which occurs in societies may be described by their impact and nature as minor or serious. In this study, a non-linear mathematical model is formulated to analyze the dynamics of some reported offenses by the Ghana Police Service. The model was developed using system of differential equations by categorizing the population into susceptibles, serious crime offenders, minor crime offenders, imprisoned criminals and reformed individuals. The model crime reproduction number was obtained by considering a constant death and recruitment type demography. The equilibrium of the crime model was determined and its stability analyzed. Sensitivity analysis of the proposed model is conducted to investigate and identify specific parameters that have high impact in decreasing the spread of crime. To support the theoretical aspect of the model, numerical simulations are carried out. From the simulation it is observed that high rate of government intervention will reduce to the barest minimum the number of crime in a population. Some commonly reported offenses data from the Ghana Police Service, the Criminal Investigation Department (C.I.D) was used to estimate some parameter values for numerical simulations to demonstrate the model’s predictions.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101171"},"PeriodicalIF":0.0,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143815232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Iterative procedure for non-linear fractional integro-differential equations via Daftardar–Jafari polynomials","authors":"Qasim Khan,&nbsp;Anthony Suen","doi":"10.1016/j.padiff.2025.101167","DOIUrl":"10.1016/j.padiff.2025.101167","url":null,"abstract":"<div><div>In this paper, we introduce a novel approach called the Iterative Aboodh Transform Method (IATM) which utilizes Daftardar–Jafari polynomials for solving non-linear problems. Such method is employed to derive solutions for non-linear fractional partial integro-differential equations (FPIDEs). The key novelty of the suggested method is that it can be used for handling solutions of non-linear FPIDEs in a very simple and effective way. More precisely, we show that Daftardar–Jafari polynomials have simple calculations as compared to Adomian polynomials with higher accuracy. The results obtained within the Daftardar–Jafari polynomials are demonstrated with graphs and tables, and the IATM’s absolute error confirms the higher accuracy of the suggested method.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101167"},"PeriodicalIF":0.0,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143792710","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}

{"title":"A robust study via semi-analytical approach for fractional telegraph equation","authors":"Mamta Kapoor","doi":"10.1016/j.padiff.2025.101162","DOIUrl":"10.1016/j.padiff.2025.101162","url":null,"abstract":"<div><div>The present study uses iterative Shehu Transform Adomian Decomposition Method to tackle fractional Telegraph equation in <span><math><mrow><mn>1</mn><mi>D</mi></mrow></math></span>, <span><math><mrow><mn>2</mn><mi>D</mi></mrow></math></span>, and <span><math><mrow><mn>3</mn><mi>D</mi></mrow></math></span>, respectively. These equations are particularly notable in field of material science and a few other related fields. A graphical compatibility of approx. and exact results is used to test the efficacy and validity of proposed technique. <span><math><mrow><mn>2</mn><mi>D</mi></mrow></math></span> and <span><math><mrow><mn>3</mn><mi>D</mi></mrow></math></span> graphs are provided to show a compatible technique of approximate-exact findings. Without any linearization or discretization, iterative Shehu ADM methodology offers a reliable and efficient way to provide approximations and accurate solutions that are error-free. The theoretical and numerical convergence aspects are also validated in this study. It is noticed that on increasing number of grid points, the <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> error norm got reduced which is a valid claim for numerical convergence.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101162"},"PeriodicalIF":0.0,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143838027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"New exact solutions and conservation laws of a degenerate Lax-integrable equation","authors":"Muhammad Alim Abdulwahhab","doi":"10.1016/j.padiff.2025.101166","DOIUrl":"10.1016/j.padiff.2025.101166","url":null,"abstract":"<div><div>This study uses the Lie symmetry group, a versatile and powerful method, to carry out an extensive analyses on a degenerate Lax-integrable equation. This integrable equation is shown to have infinite Lie algebra, and after specializing the arbitrary functions to first order polynomials, twenty-three explicit generators are obtained which are used to construct distinct non-trivial invariant solutions. This research article will also establish three independent integral solutions whose integrands contained functions that are absolutely arbitrary without any condition attached. Their arbitrariness can be used to generate compendium of nontrivial and infinitely many exact invariant solutions to the (2+1)-dimensional linearly degenerate Lax-integrable equation under consideration, which is known as the Pavlov equation. This means that all valid solutions of integrals reported in any mathematical handbooks can be adapted as solutions to the Pavlov equation using the appropriate invariants. Apart from the aforementioned novelty solutions, <span><math><mrow><mn>3</mn><mi>r</mi><mi>d</mi></mrow></math></span>-order multipliers are also established and used to construct lower-order local conservation laws.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101166"},"PeriodicalIF":0.0,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143799809","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}

{"title":"Thermal transport and bio-convection transport phenomenon in non-Newtonian couple stress model via OHAM through Darcy-Forchheimer porous medium","authors":"Muhammad Sohail ,&nbsp;Syed Tehseen Abbas ,&nbsp;Muhammad Hussain Ali ,&nbsp;Ibrahim Mahariq","doi":"10.1016/j.padiff.2025.101173","DOIUrl":"10.1016/j.padiff.2025.101173","url":null,"abstract":"<div><div>Throughout a Darcy-Forchheimer porous medium, the Optimal Homotopy Analysis Method (OHAM) is utilized in this work to investigate the combined impacts of heat transport and bio-convection in a non-Newtonian pair stress fluid. Enhancing efficiency in biomedical and engineering applications, the discoveries are important for comprehending heat and mass transport in intricate biological and industrial systems. By using a similarity transformation, the complex governing equations are transformed into nonlinear ordinary differential equations. The bioconvection microbe, temperature, velocity, and concentration are all displayed both analytically and visually. Variable thermal conductivity, diffusion coefficients, and a bio convection equation are also used to improve modeling accuracy. As the temperature exponent, time relaxation, and Prandtl number increase, the temperature field decreases. The concentration field is increased by the temperature exponent and enhanced thermophoresis.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101173"},"PeriodicalIF":0.0,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143821438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Numerical analysis of a chemically reactive non-Newtonian nanofluid flow over an exponentially stretching curved Riga sheet","authors":"Nadeem Abbas ,&nbsp;Wasfi Shatanawi ,&nbsp;Taqi A.M. Shatnawi","doi":"10.1016/j.padiff.2025.101170","DOIUrl":"10.1016/j.padiff.2025.101170","url":null,"abstract":"<div><div>We considered second-grade fluid flow over an exponentially stretching curved Riga sheet. The Riga curved sheet is considered permeable. The chemical reaction has been studied with the effects of thermophoresis and Brownian motion. The governing equations of the system are derived using a boundary layer approximation and are formulated as a set of partial differential equations. The equations are transformed into ordinary differential equations using similarity transformations, which are then solved by a numerical scheme. The results are presented in graphs and tables, which examined the effects of fundamental physical parameters on velocity, temperature, concentration functions, skin friction, Nusselt number, and Sherwood number. Velocity declines with increasing porosity as the medium becomes more permeable, redirecting fluid into the porous structure and reducing boundary layer velocity. An increase in the chemical reaction decreases the temperature profile because the reaction absorbs thermal energy from the fluid. As Brownian motion increases, the thermal boundary layer becomes thicker, reducing the temperature gradient near the surface and leading to a lower Nusselt number. Velocity curves become declining behavior owing to development in porosity factor.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101170"},"PeriodicalIF":0.0,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143815176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Velocity slip impact with inertial drag and Darcy dissipation on the radiative flow of micropolar fluid over an elongating surface","authors":"S.R. Mishra ,&nbsp;P.K. Ratha ,&nbsp;Rupa Baithalu ,&nbsp;Subhajit Panda","doi":"10.1016/j.padiff.2025.101168","DOIUrl":"10.1016/j.padiff.2025.101168","url":null,"abstract":"<div><div>The current scenario of the research depends upon the effective heat transfer properties of various fluids that have significant applications in different sectors like engineering, biomedical, industries, etc. From the various investigations, the flow of conducting micropolar fluid under the action of inertial drag over an elongating surface packed within a porous matrix is presented in this article. The model is equipped with inertial drag and the combined effect of Joule with Darcy dissipation energies in the flow spectacles. Furthermore, the velocity slip impact also affects the flow profiles significantly. Appropriate similarity rules are adopted to translate governing phenomena into dimensionless forms. The proposed transformed set of equations is solved employing a numerical technique called “Runge-Kutta fourth-order” combined with the “shooting method” and the simulation is carried out by utilizing MATLAB. The confirmation of the past examination is presented numerically with a good agreement in particular cases. Further, the physical consequence of several factors involved in the flow phenomena is presented graphically and elaborated in the discussion section. The major outcomes of this study are: Lorentz force resistivity reduces velocity-boundary thickness, while micropolar effects enhance velocity but show dual behavior in angular velocity. Darcy-Forchheimer drag lowers velocity, and heat dissipation raises temperature while controlling the gradient. Radiative heat significantly boosts temperature and the Nusselt number.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101168"},"PeriodicalIF":0.0,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143761042","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}

{"title":"Hiemenz flow of ternary hybrid nanofluid over a linear stretching/shrinking sheet: Duality and stability analysis","authors":"Khaled Matarneh ,&nbsp;Adnan Asghar ,&nbsp;Raja'i Aldiabat ,&nbsp;Liaquat Ali Lund ,&nbsp;Zahir Shah","doi":"10.1016/j.padiff.2025.101165","DOIUrl":"10.1016/j.padiff.2025.101165","url":null,"abstract":"<div><div>The Hiemenz flow of a ternary hybrid nanofluid (THNF) consisting of <em>H</em>₂<em>O</em>/<em>Al</em>₂<em>O</em>₃ + <em>Cu</em> + <em>TiO</em>₂ has been successfully realised over a linear stretching or shrinking sheet, taking into account the effects of heat radiation. Nanofluids are composed of three distinct kinds of nanoparticles that are spread throughout a base fluid. These nanoparticles display a variety of sophisticated thermophysical properties. Ternary hybrid nanofluids are advantageous for usage in the cooling of electronic devices, microchips, and nuclear reactors due to their increased thermal conductivity. The stretching/shrinking sheet models the behavior of cooling surfaces in high-performance heat exchangers. When applied to a stretching sheet, the Hiemenz flow model replicates the process of cooling thin, flexible surfaces that are contained inside microchannels. As a result of the radiative heat effect, these fluids are able to absorb more heat, which results in an improvement in the cooling performance of electronic devices that create large thermal loads. The equations of Navier–Stokes have been transformed into equations of self-similarity by applying appropriate transformations of similarity variables. These equations have been numerically resolved by using the three-stage Labatto-three-A method. Dual solutions are achieved in specific ranges of parameter. There is no discernible increase or reduction in the values of skin coefficients, friction, and heat transfer rate in the dual solutions domain when the solid volume percent of titanium dioxide is increased. In the presence of an increase in the value of the solid volume fraction of titanium dioxide, the rate of heat transfer improved. The thickness of the thermal boundary layer (BL) increased with thermal radiation but decreased with the Prandtl number. Furthermore, temporal stability analysis reveals that the first solution exhibits superior long-term stability.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101165"},"PeriodicalIF":0.0,"publicationDate":"2025-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143737891","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}

{"title":"Numerical investigation of ion-slip current and stratification on MHD flow through high porosity medium with Soret and Dufour effects in a turning scheme","authors":"M.D. Hossain ,&nbsp;M. Eaqub Ali ,&nbsp;M.A. Samad ,&nbsp;M.M. Alam ,&nbsp;M.G. Hafez","doi":"10.1016/j.padiff.2025.101158","DOIUrl":"10.1016/j.padiff.2025.101158","url":null,"abstract":"<div><div>The study examines the effects of stratification, Hall and ion-slip currents, viscous dissipation in a magnetic field, and high porosity medium, considering Soret and Dufour effects in a turning flow scheme. The governing mathematical equations are transformed into ordinary differential equations using non-dimensional similarity variables. Numerical results are obtained using the Sixth-order Runge–Kutta method combined with the Nachtsheim–Swigert shooting iteration technique. The influence of various parameters on velocity, temperature, and concentration is presented graphically, while the effects on shear stress, Nusselt number, and Sherwood number are summarized in tabular form. The key findings show that primary velocity (PV) and secondary velocity (SV) increase with higher Hall parameter, Dufour number, and Eckert number. The porosity parameter enhances both PV and SV in the boundary layer, while the magnetic parameter reduces PV and increases SV. The Prandtl number decreases PV and increases SV. The Soret number enhances PV of concentration and reduces SV of temperature. Thermal stratification reduces PV and increases SV of concentration, whereas mass stratification decreases both PV and SV. Additionally, shear stress and heat/mass transfer are influenced by Dufour number, Eckert number, and Soret number, with higher values improving heat and mass transfer. Comparisons with previous studies show a good agreement with observed trends.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"14 ","pages":"Article 101158"},"PeriodicalIF":0.0,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143737883","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}