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Application of Modified Extended Tanh Technique for Solving Complex Ginzburg-Landau Equation Considering Kerr Law Nonlinearity

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Computers, Materials & Continua 2021年第2期66卷 1369-1378页

作者： Yuming Chu Muhannad A.Shallal Seyed Mehdi Mirhosseini-Alizamini Hadi Rezazadeh Shumaila Javeed Dumitru Baleanu Department of Mathematics Huzhou UniversityHuzhou313000China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha410114China Mathematics Department College of ScienceUniversity of KirkukKirkukIraq Department of Mathematics Payame Noor UniversityTehranIran Amol University of Special Modern Technologies AmolIran Department of Mathematics COMSATS University IslamabadChak Shahzad Islamabad45550Pakistan Department of Mathematics Cankaya UniversityAnkaraTurkey Institute of Space Sciences Magurele-BucharestRomania

The purpose of this work is to find new soliton solutions of the complex Ginzburg–Landau equation(GLE)with Kerr law *** considered equation is an imperative nonlinear partial differential equation(PDE)in the field of *** applications of complex GLE can be found in optics,plasma and other related *** modified extended tanh technique with Riccati equation is applied to solve the Complex *** results are presented under a suitable choice for the values of *** are shown using the three and two-dimensional plots to represent the shape of the solution in real,and imaginary parts in order to discuss the similarities and difference between *** graphical representation of the results depicts the typical behavior of soliton *** obtained soliton solutions are of different forms,such as,hyperbolic and trigonometric *** results presented in this paper are novel and reported first time in the *** results establish the validity and applicability of the suggested technique for the complex *** suggested method with symbolic computational software such as,Mathematica and Maple,is proven as an effective way to acquire the soliton solutions of nonlinear partial differential equations(PDEs)as well as complex PDEs.

关键词： Modified extended tanh technique soliton solution complex Ginzburg-Landau equation Riccati equation

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Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method

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International Journal of Biomathematics 2019年第2期12卷 101-113页

作者： Chuangxia Huang Hua Zhang School of Mathematics and Statistics Changsha University of Science and Technology P.R.China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha 410114HunanP.R.China

This paper,mainly explores a class of non-autonomous inertial neural networks with proportional delays and time-varying *** combining Lyapunov function method with differential inequality approach,non-reduced order method is used to establish some novel assertions on the existence and generalized exponential stability of periodic solutions for the addressed *** addition,an example and its numerical simulations are given to support the proposed approach.

关键词： Inertial neural networks periodic solution generalized exponential stability proportional delay non-reduced order method

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Regular perturbation solution of Couette flow(non-Newtonian)between two parallel porous plates: a numerical analysis with irreversibility

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Applied Mathematics and Mechanics(English Edition) 2021年第1期42卷 127-142页

作者： M.NAZEER M.I.KHAN S.KADRY Yuming CHU F.AHMAD W.ALI M.IRFAN M.SHAHEEN Department of Mathematics Institute of Arts and SciencesGovernment College UniversityChiniot CampusFaisalabad 35400Pakistan Department of Mathematics and Statistics Riphah International University I-14Islamabad 44000Pakistan Department of Mathematics and Computer Science Beirut Arab UniversityBeirut 11-5020Lebanon Department of Mathematics Huzhou UniversityHuzhou 313000Zhejiang ProvinceChina Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha 410114China Department of Applied Sciences National Textile UniversityFaisalabad 38000Pakistan Chair of Production Technology Faculty of Engineering TechnologyUniversity of TwenteEnschede 7500 AEThe Netherlands Department of Mathematics Riphah Inernational LniversityFaisalabad CampusFaiselabad 38000Pakistan

The unavailability of wasted energy due to the irreversibility in the process is called the entropy *** irreversible process is a process in which the entropy of the system is *** second law of thermodynamics is used to define whether the given system is reversible or ***,our focus is how to reduce the entropy of the system and maximize the capability of the *** are many methods for maximizing the capacity of heat *** constant pressure gradient or motion of the wall can be used to increase the heat transfer rate and minimize the *** objective of this study is to analyze the heat and mass transfer of an Eyring-Powell fluid in a porous *** this,we choose two different fluid models,namely,the plane and generalized Couette *** flow is generated in the channel due to a pressure gradient or with the moving of the upper *** present analysis shows the effects of the fluid parameters on the velocity,the temperature,the entropy generation,and the Bejan *** nonlinear boundary value problem of the flow problem is solved with the help of the regular perturbation *** validate the perturbation solution,a numerical solution is also obtained with the help of the built-in command NDSolve of MATHEMATICA *** velocity profile shows the shear thickening behavior via first-order Eyring-Powell *** is also observed that the profile of the Bejan number has a decreasing trend against the Brinkman ***ηi→0(i=1,2,3),the Eyring-Powell fluid is transformed into a Newtonian fluid.

关键词： Couette flow Eyring-Powell fluid entropy generation perturbation method Bejan number

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Temporal Stability analysis of Magnetized Hybrid Nanofluid Propagating through an Unsteady Shrinking Sheet: Partial Slip Conditions

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Computers, Materials & Continua 2021年第2期66卷 1963-1975页

作者： Liaquat Ali Lund Zurni Omar Sumera Dero Yuming Chu Ilyas Khan Kottakkaran Sooppy Nisar School of Quantitative Sciences Universiti Utara Malaysia06010SintokKedahMalaysia KCAET Khairpur Mir’s Sindh Agriculture UniversityTandojam Sindh70060Pakistan IICT University of SindhJamshoro76080Pakistan Department of Mathematics Huzhou UniversityHuzhou313000China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha410114China Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi AldawaserSaudi Arabia

The unsteady magnetohydrodynamic(MHD)flow on a horizontal preamble surface with hybrid nanoparticles in the presence of the first order velocity and thermal slip conditions are ***(Al_(2)O_(3))and copper(Cu)are considered as hybrid nanoparticles that have been dispersed in water in order to make hybrid nanofluid(Cu-Al_(2)O_(3)/water).The system of similarity equations is derived from the system of partial differential equations(PDEs)by using variables of similarity,and their solutions are gotten with shooting method in the Maple *** certain ranges of unsteadiness and magnetic parameters,the presence of dual solutions can be ***,it is examined that layer separation is deferred due to the effect of the hybrid ***,the capacity of the thermal enhancement of Cu-Al_(2)O_(3)/water hybrid nanofluid is higher as compared to Al_(2)O_(3)/water based nanofluid and enhancements inCu are caused to rise the fluid temperature in both *** the last,solutions stability analyzes were also carried out and the first solution was found to be stable.

关键词： Cu−Al_(2)O_(3)/H2O hybrid nanofluid magnetic field slip conditions dual solutions

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Interpretation of entropy generation in Williamson fluid flow with nonlinear thermal radiation and first-order velocity slip

Interpretation of entropy generation in Williamson fluid flo...

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作者： Qayyum, Sumaira Khan, M. Ijaz Masood, Faria Chu, Yu-Ming Kadry, Seifedine Nazeer, Mubbashar Department of Mathematics Quaid-I-Azam University Islamabad Pakistan Department of Mathematics Riphah International University Faisalabad Faisalabad Pakistan Department of Mathematics Huzhou University Huzhou China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science and Technology Changsha China Department of Mathematics and Computer Science Beirut Arab University Beirut Lebanon Department of Mathematics Institute of Arts and Sciences Government College University Faisalabad Faisalabad Pakistan

This research article investigates the impacts of magnetohydrodynamics (MHD), nonlinear thermal radiation, Darcy-Forchheimer porous medium, viscous dissipation, first-order velocity slip, and convective boundary condition on the entropy generation optimization in flow of non-Newtonian fluid (Williamson fluid) towards a flat and stretchable surface. A general entropy equation is derived for thermal heat irreversibility, porosity irreversibility, Joule heating irreversibility, and fluid friction irreversibility. The bvp4c (built-in-shooting) technique is utilized to solve the governing equations for the entropy generation. Our obtained results highlight that enhancement in the thermal radiation and magnetic causes an abrupt change in the entropy generation rate. Moreover, the heat transfer rate and velocity gradient (skin friction) are calculated numerically subject to pertinent parameter, and the results are displayed in tabular form. © 2020 John Wiley & Sons, Ltd.

关键词： Heat radiation

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Simulating the Turbulent Hydrothermal Behavior of Oil/MWCNT Nanofluid in a Solar Channel Heat Exchanger Equipped with Vortex Generators

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Computer modeling in engineering & Sciences 2021年第3期126卷 855-889页

作者： Rachid Maouedj Younes Menni Mustafa Inc Yu-Ming Chu Houari Ameur Giulio Lorenzini Unite de Recherche en Energies Renouvelables en Milieu Saharien URERMSCentre de Developpement des Energies RenouvelablesCDERAdrar01000Algeria Department of Physics Unit of Research on Materials and Renewable EnergiesFaculty of SciencesAbou Bekr Belkaid UniversityTlemcen13000Algeria Department of Mathematics Science FacultyFirat UniversityElazig23119Turkey Department of Medical Research China Medical University HospitalChina Medical UniversityTaichung40402Taiwan Department of Mathematics Huzhou UniversityHuzhou313000China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha410114China Department of Technology University Centre of NaamaNaama45000Algeria Department of Engineering and Architecture University of ParmaParco Area delle Scienze 181/AParma43124Italy

Re-engineering the channel heat exchangers(CHEs)is the goal of many recent studies,due to their great importance in the scope of energy transport in various industrial and environmental *** the internal geometry of the CHEs by using extended surfaces,i.e.,VGs(vortex generators),is the most common technique to enhance the efficiency of heat *** work aims to develop a newdesign of solar collectors to improve the overall energy *** study presents a new channel design by introducing *** FVM(finite volume method)was adopted as a numerical technique to solve the problem,with the use of Oil/MWCNT(oil/multi-walled carbon nano-tubes)nanofluid to raise the thermal conductivity of the flow *** study is achieved for a Re number ranging from12×10^(3) to 27×10^(3),while the concentration(φ)of solid particles in the fluid(Oil)is set to 4%.The computational results showed that the hydrothermal characteristics depend strongly on the flow patterns with the presence of VGs within the *** the Oil/MWCNT rates with the presence of VGs generates negative turbulent velocities with high amounts,which promotes the good agitation of nanofluid particles,resulting in enhanced great transfer rates.

关键词： Channel heat exchanger forced-convection Oil/MWCNT nanofluid CFD vortex generators

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Computational analysis of the Oscillatory Mixed Convection Flow along a Horizontal Circular Cylinder in Thermally Stratified Medium

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Computers, Materials & Continua 2020年第10期65卷 109-123页

作者： Zia Ullah Muhammad Ashraf Saqib Zia Yuming Chu Ilyas Khan Kottakkaran Sooppy Nisar Department of Mathematics Faculty of ScienceUniversity of SargodhaSargodhaPakistan Department of Mathematics COMSATS University IslamabadIslamabad44000Pakistan Department of Mathematics Huzhou UniversityHuzhou313000China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha410114China Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh72915Vietnam Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi Aldawaser11991Saudi Arabia

The present work emphasizes the significance of oscillatory mixed convection stratified fluid and heat transfer characteristics at different stations of non-conducting horizontally circular cylinder in the presence of thermally stratified *** remove the difficulties in illustrating the coupled PDE’s,the finite-difference scheme with efficient primitive-variable formulation is proposed to transform dimensionless *** numerical simulations of coupled non-dimensional equations are computed in terms velocity of fluid,temperature and magnetic field which are computed to examine the fluctuating components of skin friction,heat transfer and current density for various emerging *** governing parameters namely,thermally stratification parameter𝑆𝑆𝑡𝑡,mixed-convection parameter𝜆𝜆,Prandtl number Pr,magnetic force parameter𝜉𝜉and magnetic-Prandtl number𝛾𝛾are displayed graphically at selected values for velocity and heat transfer *** is computed that heat transfer attains maximum amplitude and good variations in the presence of thermally stratified parameter at each position𝛼𝛼=𝜋𝜋6⁄,𝛼𝛼=𝜋𝜋3⁄and𝛼𝛼=𝜋𝜋around the surface of non-conducting horizontally *** velocity of fluid attains certain height at station𝛼𝛼=𝜋𝜋6⁄for higher value of stratification *** is also found that the temperature gradient decreases with stratification parameter𝑆𝑆𝑡𝑡,but it increases after a certain distance𝑌𝑌from the *** novelty of the current work is that due to non-conducting phenomena the magnetic effects are strongly observed far from the surface but exact at the surface are zero for each position.

关键词： Mixed-convection oscillatory stratified flow non-conducting cylinder thermal stratification heat transfer.

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Feasible strategies in three-way conflict analysis with three-valued ratings

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International Journal of Approximate Reasoning 2025年 186卷

作者： Jing Liu Mengjun Hu Guangming Lang School of Mathematics and Statistics Changsha University of Science and Technology Changsha Hunan 410114 PR China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science and Technology Changsha Hunan 410114 PR China Department of Mathematics and Computing Science Saint Mary's University Halifax Nova Scotia B3H 3C3 Canada

Most existing work on three-way conflict analysis has focused on trisecting agent pairs, agents, or issues. While these trisections lay the groundwork for understanding the nature of conflicts, further actions need to be formulated to address conflict resolution. One of the widely studied approaches is to construct feasible strategies. This paper aims to investigate feasible strategies from two perspectives of consistency and non-consistency. Particularly, we begin with computing the overall rating of a clique of agents based on positive and negative similarity degrees. Afterwards, considering the weights of both agents and issues, we propose weighted consistency and non-consistency measures, which are respectively used to identify the feasible strategies for a clique of agents. Algorithms are developed to identify feasible strategies, L -order feasible strategies, and the corresponding optimal ones. Finally, to demonstrate the practicality, effectiveness, and superiority of the proposed models, we apply them to two commonly used case studies on NBA labor negotiations and development plans for Gansu Province and conduct a sensitivity analysis on parameters and a comparative analysis with existing state-of-the-art conflict analysis approaches. The comparison results demonstrate that our conflict resolution models outperform the conventional approaches by unifying weighted agent-issue evaluation with consistency and non-consistency measures to enable the systematic identification of not only feasible strategies but also optimal solutions.

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Computational analysis of the Effect of Nano Particle Material Motion on Mixed Convection Flow in the Presence of Heat Generation and Absorption

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Computers, Materials & Continua 2020年第11期65卷 1809-1823页

作者： Muhammad Ashraf Amir Abbas Saqib Zia Yu-Ming Chu Ilyas Khan Kottakkaran Sooppy Nisar Department of Mathematics Faculty of ScienceUniversity of SargodhaSargodha40100Pakistan Department of Mathematics COMSATS University IslamabadIslamabad44000Pakistan Department of Mathematics Huzhou UniversityHuzhou313000China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science&TechnologyChangsha410114China Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh City72915Vietnam Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi Aldawaser11991Saudi Arabia

The present study is concerned with the physical behavior of the combined effect of nano particle material motion and heat generation/absorption due to the effect of different parameters involved in prescribed flow *** formulation of the flow model is based on basic universal equations of conservation of momentum,energy and *** prescribed flow model is converted to non-dimensional form by using suitable *** obtained transformed equations are solved numerically by using finite difference *** the analysis of above said behavior the computed numerical data for fluid velocity,temperature profile,and mass concentration for several constraints that is mixed convection parameterλt,modified mixed convection parameterλc,Prandtl number Pr,heat generation/absorption parameterδ,Schmidt number Sc,thermophoresis parameter Nt,and thermophoretic coefficient k are sketched in graphical *** results for skin friction,heat transfer rate and the mass transfer rate are tabulated for various emerging physical *** is reported that in enhancement in heat,generation boosts up the fluid temperature at some positions of the surface of the *** heat absorption parameter is decreased temperature field increases at position X=π/4 on the other hand,no alteration at other considered circumferential positions is noticed.

关键词： Nano material mixed convection finite difference method heat generation/absorption spheres

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Dynamics and modeling of nonlinear forced convective flow of Carreau-fluid (non-Newtonian fluid) with Marangoni convection

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Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical engineering Science 2021年

作者： Ijaz Khan, M. Chu, Yu-Ming Qayyum, Sumaira Farooq, Shahid Aldabesh, A. Department of Mathematics Riphah International University Faisalabad Pakistan Department of Mathematics Huzhou University Huzhou China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science $and$ Technology Changsha China Department of Mathematics Quaid-I-Azam University Islamabad Pakistan Department of Mechanical Engineering Faculty of Engineering Albaha University Al Bahah Saudi Arabia

This paper deals with Marangoni convective flow of Carreau fluid. Boundary condition for momentum equation is considered to be Marangoni type. Thermal energy produces when current passes through the electrical conductor and this process is called Joule heating. Viscous dissipation is also applied in thermal equation. Nonlinear mixed convection for temperature is considered. Governing equations of PDE's are converted to ODE's by implementation of transformation. ND-Solve MATHEMATICA method is used to solve the equations. Parameters result against temperature, velocity, entropy rate, Bejan number, Skin friction and Nusselt number is examined via graphs. Due to increase in fluid parameter velocity of the fluid reduces while increasing impact is seen for temperature. Temperature is increasing function of Eckert number. Entropy generation also shows rising impact via fluid parameter while Bejan number decays. Drag force of surface decays via fluid parameter. Nusselt number is in direct relation with Prandtl and Eckert number. © IMechE 2021.

关键词： Joule heating

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